Large quantities of liquefied natural gas (LNG) are shipped by ocean tanker. At the unloading port, provision is made for vaporization of the LNG so that it may be delivered to pipelines as gas. The LNG arrives in the tanker at atmospheric pressure and 113.7 K and represents a possible heat sink for use as the cold reservoir of a heat engine. Assuming unloading of LNG as a vapor at the rate of 8,000 m3s-1, as measured at 25 C and 1.0133 bar, and assuming the availability of an adequate heat source at 35 C, what is the maximum amount of work that could be generated and what is the rate of heat transfer from the heat source

Answers

Answer 1

Answer:

yfyuhvckydfxcvkjyfvgrjfvhkhgfyhtfhchghjgyfvyghvhygvkuh

Explanation:


Related Questions

Use JAVA and create a class called Airport with the following fields:
Identifier.
Coordinates which consist of Latitude and Longitude. Latitude is positive to indicate is North of the Equator and negative when it's located in the southern hemisphere. Longitude is negative to indicate is West and positive to indicate it's East of the Greenwich median.
A magnetic variation which also is indicated negative for West and positive for East. It is OK to have no magnetic variation.
Elevation above sea level in feet.
For example San Diego airport has the values ID: SAN, Lat: 32.7335556, Long: -117.1896667, Var: 14, Elev: 16.8' (http://www.airnav.com/airport/SAN)
The class should have an accessor and mutator methods for each field.
When the Longitude is negative it is understood it’s on the West side of the Greenwich Meridian and when the Latitude is negative is understood it’s South of the Ecuador.

Answers

The "Airport" class in Java is designed to represent an airport with fields such as identifiers, coordinates (latitude and longitude), magnetic variation, and elevation above sea level.

The class includes accessor and mutator methods for each field to retrieve and modify their values. The convention is that negative longitude indicates the airport is located west of the Greenwich Meridian, and negative latitude indicates it is south of the equator.

The "Airport" class in Java encapsulates the essential information related to an airport. It includes fields such as the identifier (e.g., airport code), coordinates (latitude and longitude), magnetic variation (indicating the magnetic deviation from true north), and elevation above sea level. The class provides accessor methods, also known as getter methods, to retrieve the values of these fields, and mutator methods, also known as setter methods, to modify the field values.

In this specific implementation, when the longitude value is negative, it signifies that the airport is located west of the Greenwich Meridian. Similarly, a negative latitude value indicates that the airport is situated south of the equator. By following this convention, it becomes easier to determine the location of an airport based on its coordinates.

Using the "Airport" class, one can create instances representing different airports by setting values for their respective fields. These instances can then be utilized in various applications related to airport management, navigation systems, or geographical data analysis. The accessor and mutator methods provide a means to access and modify the airport information, ensuring encapsulation and data integrity within the class.

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A semiconductor wafer with n-type impurities has been stripped from all its free electrons. The wafer is in the form of a flat disk and has positive charges uniformly distributed on its top and bottom surface. The charge density is 10 C/cm^2. Determine the magnitude of the electric flux density D above the wafer in C/m^2.a. 0.5 x10+5 c/m2 b. 0.5x10-5 C/m2 c. 0.5x10 C/m2 d. 10+5 C/m2

Answers

Answer:

a. 0.5x10⁵

Explanation:

The charge density = 10C/cm²

We are asked to find the magnitude of the electric flux density

The electric field of infinite sheet

E = σ/2Eo

We have electric density as follows:

D = EEo = EoE

Since charge density σ = 10C/cm²

σ = 10x10²C/m²

D = σ/2

10x10⁴/2

= 5x10⁴C/m²

= 0.5x10⁵C/m²

Therefore the magnitude is equal to 0.5x10⁵C/m². Which gives us option a as the answer

given a string s of characters, a subsequence of s, defined by the indices i 1, i 2, ..., i m , is said to be a repeated subsequence if you can find another sequence of indices j 1, j 2, ..., j m, such that s[i k]

Answers

Answer:

= s[j k] for all 1 <= k <= m.

In other words, a repeated subsequence is a sequence of characters within the original string that appears in the same order at least twice. The indices i1, i2, ..., im refer to the positions of the characters in the original string that make up the repeated subsequence, and the indices j1, j2, ..., jm refer to the positions of the same characters in the second occurrence of the repeated subsequence.

A Diesel cycle has a compression ratio of 10 and cutoff ratio of 3. Assuming the air-standard and constant specific heats evaluated at 450 K, determine the thermal efficiency. Report it as a decimal (0-1) and to three decimal places

Answers

The thermal efficiency of the diesel cycle is 0.551 (approx) as a decimal to three decimal places.

We have given:

Compression ratio = r = 10

Cut off ratio = ρ = 3

Air-standard and constant specific heats = 450 K

Thermal efficiency of the diesel cycle is given by: ηth= 1 - 1/r^γ-1(ρ^(γ-1) - 1/ r^γ-1)

Here, γ is the ratio of specific heats, which is evaluated at 450 K.

The value of γ for air at 450 K can be calculated using the following formula,γ= cp/cv, where, cp = specific heat at constant pressure

cv = specific heat at constant volume

The specific heats of air at constant pressure and constant volume can be taken as, cp = 1005 J/kg.

Kcv = 717 J/kg.K

So,γ = 1005/717 = 1.4

Using the values of r, ρ, and γ in the above formula,ηth= 1 - 1/r^γ-1(ρ^(γ-1) - 1/ r^γ-1)

ηth= 1 - 1/10^(1.4-1)(3^(1.4-1) - 1/10^(1.4-1))

On calculation,ηth= 0.551 (approx)Hence, the thermal efficiency of the diesel cycle is 0.551 (approx) as a decimal to three decimal places.

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For given five processes apply: (a) Equal memory allocation algorithm (b) Proportional memory allocation algorithm. The sizes of these five processes are:S1=1,000 pages S2=2,000pagesS3=7,000pagesS4=10,000pagesS5=20,000pagesm=10,000avaialble number of page frames in main memory. (c) What is the total nuber of PMT entries in the main memory for these five processes (d) What is the total memory size in BYTES for all five PMTs. Upload

Answers

(a) Equal memory allocation :  Available frames  10000. So each process gets 100000/5 = 2000 frames

(b) Proportional memory allocation: Sum of all pages = 50,000. m= 10,000.

(c)  Total 50,000 PMT entries

(d) 1 PMT = 4 bytes

What is memory?

The instructions and data that a computer needs to access quickly are stored electronically in memory. It is where data is kept for quick access. One of a computer's fundamental functions is memory because without it, a computer would not be able to perform as intended. The operating system, hardware, and software of a computer all use memory.

Computer memory comes in two varieties: primary and secondary. Memory is a shorthand for primary memory or an acronym for random access memory, a particular kind of primary memory (RAM). This kind of memory is housed on microchips that are physically close to the microprocessor in a computer.

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What helps improve employees attitudes

Answers

Answer:10 Tips for Changing Employee Attitudes

Increase opportunities for growth. ...

Create a career development program. ...

Improve the physical work environment. ...

Simplify the digital employee experience. ...

Invest in management and leadership training. ...

Help employees find meaning in their work. ...

Lead by example. ...

Hire selectively.

Explanation: ;)

Answer:

Increase opportunities for growth

Create a career development program.

Improve the physical work environment.

Simplify the digital employee experience.

Invest in management and leadership training.

Help employees find meaning in their work.

Lead by example

Hire selectively.

an example of a non-traditional intersection is ___

Answers

Roundabouts, Single point urban interchanges, Quadrant intersections.

What are baselines in geodetic control networks?

Answers

Baselines in geodetic control networks are a critical component of modern surveying and mapping. Baselines are defined as the straight-line distance between two points in a geodetic survey, which is used to create a reference system for all other measurements.

The baseline is then used to calculate distances and angles between other points, which can be used to create maps and survey data. Baselines are typically measured using a variety of methods, including satellite-based Global Positioning Systems (GPS), which provide highly accurate measurements. Geodetic control networks are used for a wide range of applications, including construction, mining, land management, and environmental studies.

By providing accurate, reliable data about the earth's surface, these networks are essential for effective management of natural resources and development projects. In summary, baselines in geodetic control networks are the fundamental building blocks that allow surveyors and mapping professionals to create accurate and reliable data about the earth's surface.

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Give an example of one technology that is well matched to the needs of the environment, and one technology that is not.

Answers

Answer:

oh god... i have no idea lm.ao

Explanation:

A heat engine that rejects waste heat to a sink at 510 R has a thermal efficiency of 25 percent and a second-law efficiency of 50 percent. Determine the temperature of the source that supplies heat to this engine.

Answers

Answer:

The correct answer is "1020 K".

Explanation:

The given values:

\(n_{th} = 0,25\)

\(n_2=0.50\)

Now,

⇒ \(n_{th}(rev) = \frac{n_{th}}{n_2}\)

By putting the values, we get

                 \(=\frac{0.25}{0.50}\)

                 \(=0.50\)

As we know,

⇒ \(n_{th} (rev)=1-\frac{TL}{TH}\)

or,

⇒ \(TH=\frac{TL}{1-n_{th} (rev)}\)

          \(=\frac{510}{1-0.50}\)

          \(=\frac{510}{0.5}\)

          \(=1020 \ K\)  

What is an emulsion? how does using brine help with an emulsion?

Answers

An emulsion is a mixture of two immiscible liquids, such as oil and water. Using brine helps stabilize the emulsion by preventing the oil and water from separating.



An emulsion is a type of mixture where two immiscible liquids, such as oil and water, are mixed together. Emulsions are typically unstable and tend to separate over time, with the oil floating to the top and the water sinking to the bottom. However, by adding an emulsifying agent, such as brine (a solution of salt in water), the emulsion can be stabilized.

The salt ions in the brine help to create a layer around the oil droplets, preventing them from coalescing and allowing the emulsion to remain stable. Brine is often used in food processing to create stable emulsions in products like salad dressings, mayonnaise, and sauces.

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According to the video Making Stuff: Smaller, silicon transistors can be made smaller because they are:
A. mechanical switches.
B. able to be crafted.
C. materials.
D.metallic.

Answers

According to the video Making Stuff: Smaller, silicon transistors can be made smaller because they are: B. able to be crafted.

What is the silicon transistors?

The size of silicon transistors can be reduced when they are crafted or produced.

The video  showcases the progress in semiconductor technology which has enabled the creation of smaller and more effective transistors. Sophisticated methods like photolithography and other processes of semiconductor fabrication have facilitated the accurate formation of intricate transistor designs on silicon wafers.

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A "wet" combustion test kit measures which two substances?

A. Soot and carbon monoxide

B. Carbon dioxide and oxygen

C. Carbon monoxide and oxygen

D. Carbon monoxide and carbon dioxide

Answers

Carbon monoxide and oxygen-Incomplete combustion occurs in a coal-fired unit's furnace when insufficient oxygen (O2) is available during fuel combustion.

What is incomplete combustion of coal?The quantity of O2 available for combustion is known as "excess air." Compared to other fuels, coal needs a disproportionately large amount of extra air to burn completely, quickly, and in the furnace. Incomplete combustion produces soot or carbon monoxide when some of the carbon is not fully oxidised (CO). Complete combustion utilises fuel inefficiently and produces harmful levels of carbon monoxide.Inadequate air-fuel mixing, inadequate residence time, insufficient temperature, and little total extra air are the main causes of incomplete combustion. Solid carbon soot particles produced in the fuel-rich zones of the cylinder during combustion are not present in the exhaust of CI engines.

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What is a sculpture that can be viewed from all sides?

Answers

A sculpture that can be viewed from all sides is called a "freestanding sculpture."

A freestanding sculpture is a three-dimensional artwork that is not attached to any wall or surface and can be viewed from all angles. It is also known as a sculpture in the round or an in-the-round sculpture. Freestanding sculptures have been around for thousands of years and are one of the oldest forms of artistic expression. They can be made from a variety of materials such as stone, metal, wood, clay, and even ice. They can vary in size from small handheld pieces to large outdoor installations.

One of the most famous freestanding sculptures is Michelangelo's David. The statue is over 17 feet tall and is made of marble. It depicts the biblical hero David before his battle with Goliath. It is considered one of the greatest works of art ever created and is admired for its intricate details and a lifelike appearance. Another famous example of a freestanding sculpture is Rodin's The Thinker. It is a bronze sculpture that depicts a man in deep thought. It is over 6 feet tall and has been replicated numerous times around the world. It is often used as a symbol of intellectualism and philosophy.

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A rectangular brick-lined channel (n = 0.016) of 4.0-m width is laid on a bottom slope of 0.0009. It carries a discharge of 15 m3 /s and the fl ow is non-uniform. If the depth at a Section A is 2.6 m, calculate the depth at section B, 500 m downstream of A, by using (a) only one step, and (b) two steps.

Answers

Answer:

To calculate the depth at section B, 500 m downstream of section A, we can use the Chezy formula:

V = C*R^(1/2)

Where V is the velocity, C is the Chezy coefficient, and R is the hydraulic radius.

a) Using only one step:

Since the flow is non-uniform, the velocity at section B can be assumed to be the same as at section A. Therefore, the depth at section B can be calculated using the same Chezy coefficient and hydraulic radius as at section A.

Hydraulic Radius (R) = A/P = (width * depth) / 2

R_A = (4 * 2.6) / 2 = 5.2 m

R_B = R_A = 5.2 m

Chezy coefficient (C) = (V^2 * n) / (2 * g * R^(1/2))

C = (15^2 * 0.016) / (2 * 9.81 * 5.2^(1/2)) = 1.94

Now we can use the Chezy formula to calculate the depth at section B

V = C*R^(1/2)

V = 1.94 * 5.2^(1/2) = 3.23 m/s

b) Using two steps:

First, we can calculate the velocity at section B using the continuity equation:

Q = A1 * V1 = A2 * V2

15 = (4 * 2.6 * 3.23) = (4 * y * V2)

V2 = (15 / 4) / y = 3.75/y m/s

Next, we can use the Chezy formula and the velocity at section B to calculate the depth at section B:

V = C*R^(1/2)

y = V^2 * n / (C^2 * g)

y = (3.75/y)^2 * 0.016 / (1.94^2 * 9.81)

y = 2.34 m

So, the depth at section B is 2.34 m by using two steps.

Note: The above calculations are based on the assumption that the slope is uniform along the channel and the flow is steady. In practice, other factors such as channel roughness and boundary conditions may also have an impact on the depth of flow.

who ever answers this gets 25 NON COSTLY points

Answers

Answer:

"cool"

Explanation:

How much horse power does a Lamborghini have

Answers

The Lamborghini SCV12 has 830 horse power.

Answer:

Countach - 375 Huracan - 610 to 630Aventador -  729 to 759Urus - 641Gallardo - 543 to 562Centenario - 770 SCV12 - 830

Explanation:

It really all depends, it varies from 375 to 830, you can't mark one as " Lamborghinis have this much hp always " seeing it fluctuates so much car to car

The Release Train Engineer is a servant leader who displays which two actions or behaviors?

Answers

Explanation:

The Release Train Engineer (RTE) has the main work of supporting as well as coaching the Agile Release Train (ART). They are capable of steering ART successfully and to navigate the complexity in delivering  the software in large and inter-functional environments.  

They serve the scrum master and coach teams to improve on the results.

The two actions or behaviors of the RTE are :

1. They try to create an environment of the mutual influence.  

2. Listens and also supports the teams in problem identification as well as decision-making.

                   

The behaviors or actions that the release train engineer does include:

Operating within the lean budget.Facilitating demos

The release train engineer refers to a servant leader who is responsible for facilitating program-level processes and executes them.

The release train engineer is also responsible for driving continuous development, managing risks, and escalating impediments. Some of their actions include operating within the lean budget and facilitating demos.

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It is required to design and implement: 1. A counter which counts from 0 to 255 with seven segment display.
2. A logic function y=∑( 0,3,5,10,16,20,30 35).
3. Summing and subtracting circuit of 8 digit numbers.
4. ROM (a,b,c,d) to 60 to 75 in binary.
5. A timing module which counts time in us or ms or seconds.​

Answers

Answer:

A counter which counts from 0 to 255 with seven segment display

Timer Mode Control (TMOD)

Explanation:

8. If you push a 2000 N weight up a ramp with 400 N of force and you raise the weight 1 meter,
how long is the ramp?
A) 3 m
B) 5 m
C) 10 m
D) 20 m

Answers

*5 m* you just divide the weight by how much you pushed with. Giving you how long the ramp is

Applying fatigue failure criteria in 3D, determine the final relation (equation) for the following cases: - Considering only the internal pressure fluctuating from Pmax to Pmin Numerical Application: Pmax=1.0P and Pmin=0.2P σu= 690 MPa σe= 345 MPa Kf=1 ; Define P ? - Considering completely reversed internal pressure (P) and completely reversed bending moment (M) Write just the final equation (no numerical application)

Answers

Answer:

Hello your question is incomplete attached below is the complete question

answer :

I) P = t/R * 492.85

II) The final equation : PR / t  + 4M/πR3 =  б e

Explanation:

attached below is a detailed solution to the given problem

i) P = t/R * 492.85

ii) Final equation : PR / t  + 4M/πR3 = б e

Applying fatigue failure criteria in 3D, determine the final relation (equation) for the following cases:
Applying fatigue failure criteria in 3D, determine the final relation (equation) for the following cases:

Today is Cora's 60th birthday and she is retiring today. Her pension manager informs her that she could choose between two options. The first option is to receive a cash amount of P40,000 every month beginning in one month until her 100 th birthday. If she dies before that date, her chosen beneficiary will receive the monthly cash flows. The second option is to receive a lump sum equal to the present value of all the monthly cash flows specified in the first option with a rate of 12% compounded monthly as the discount rate. If Cora goes for the second option, how much will she receive? Did Cora make the right decision? Why? Why not?

Answers

The decision depends on Cora's financial circumstances, preferences, and future plans. we find that Cora would receive approximately P1,586,665.11 as a lump sum if she chooses the second option.

To calculate the lump sum amount Cora would receive if she chooses the second option, we need to find the present value of the monthly cash flows specified in the first option.

The cash flow of P40,000 occurs every month from Cora's 61st birthday until her 100th birthday, which is a total of 100 - 61 + 1 = 40 years or 480 months.

Using the formula for the present value of an ordinary annuity, the lump sum amount (L) can be calculated as:

L = C * [1 - (1 + r)^(-n)] / r

Where:

C = Cash flow per period = P40,000

r = Interest rate per period = 12% compounded monthly = 12%/12 = 1% = 0.01

n = Total number of periods = 480

Plugging in the values:

L = P40,000 * [1 - (1 + 0.01)^(-480)] / 0.01

Calculating this expression, we find that Cora would receive approximately P1,586,665.11 as a lump sum if she chooses the second option.

Now, whether Cora made the right decision depends on her personal financial goals, risk tolerance, and expected lifespan.

If Cora believes that she can invest the lump sum amount and achieve a higher rate of return than the 12% interest rate used for discounting, then taking the lump sum may be advantageous. She can potentially earn more through wise investment choices.

On the other hand, if Cora prefers the stability and security of guaranteed monthly income until her 100th birthday, and if she is uncertain about her ability to invest and manage the data of lump sum effectively, then choosing the first option of receiving monthly cash flows may be more suitable.

Ultimately, the decision depends on Cora's financial circumstances, preferences, and future plans.

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Using leftover paint colors is acceptable in a paint shop and will help cut down on waste.

True or false

Answers

im pretty sure it is true !

Answer:

True

Explanation:

they put it through a process to be able to reuse it

Find the shortest arithmetic code for message abbabbabbb. Obtain probability of the occurrence of each symbol from the message sequence.

Answers

The arithmetic code for the message sequence 'abbabbabbb' is:

0.0000 0.0001 0.0000 0.0000 0.0001 0.0000 0.0001 0.0001 0.0001

The length of the encoded message is 34 bits.

The arithmetic code is an algorithm that encodes data by making use of probabilities of symbols or sequences. It is used for entropy coding in data compression. A shorter arithmetic code is desirable since it compresses the data more efficiently. The message is 'abbabbabbb'.Let's find the probability of each symbol in the message sequence as follows; Probability of a = 3/10Probability of b = 7/10Therefore, the probability of occurrence of each symbol in the message sequence is;

P(a) = 3/10P(b) = 7/10

Let's compute the shortest arithmetic code for the message. The first step is to calculate the cumulative probability of each symbol: Cumulative Probability of a = 3/10Cumulative Probability of b = 10/10The cumulative probability of the last symbol in the sequence must be 1.0.

After computing the cumulative probability of each symbol, the next step is to compute the range of each symbol. The range is calculated by taking the difference between the cumulative probabilities of the symbol and its previous symbol. Let's compute the range for each symbol in the message sequence. The range for a = 3/10 - 0 = 3/10Range for b = 7/10 - 3/10 = 4/10After computing the range for each symbol, the next step is to encode the message sequence using the calculated ranges and cumulative probabilities. The encoded message is obtained by concatenating the binary values obtained for each symbol in the message sequence. For instance, a can be encoded as 0.0000, while b can be encoded as 0.0001.

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P1-5 The reaction is to be carried out isothermally in a continuous-flow reactor. The entering volumetric flow rate vo is 10 dm/h. (Note: FA-CAv. For a constant volumetric flow rate- then FA-Cvo Also, CA,-FArv,-([ 5 mol/N/[10 dn'/h] ) 0. 5 mol/dm3. ) Calculate both the CSTR and PFR reactor volumes necessary to consume 99% of A (i. E. , CA- 0. 01CAo) when the entering molar flow rate is 5 mol/h, assuming the reaction rate -is (a) -rA- kwith k- 0. 05 mol (b)kCA with k 0. 0001 s1 e C with k - 300 m (d) Repeat (a), (b), and/or (c) to calculate the time necessary to consume 99. 9% of species A in a Ans: VeST 660 dm mol h 1000 dm3 constant-volume batch reactor with C0. 5 mol/dm3

Answers

The CSTR and PFR reactor volumes necessary to consume 99% of A when -rₐ = k with k = 0.05 mol is 99 dm³.

The CSTR and PFR reactor volumes necessary to consume 99% of A when -rₐ = kCₐ with k = 0.0001 s⁻¹ is 660 dm³.

What is a chemical reactor?

An enclosed space called a chemical reactor is where a chemical reaction takes place. One of the primary unit operations in chemical process analysis, it is commonly understood in chemical engineering to be a process vessel used to carry out a chemical reaction. Chemical engineering is used in many different ways in the design of chemical reactors. Reactors are designed by chemical engineers to maximise net present value for a specific reaction.

The highest yield of product is produced while requiring the least amount of money to purchase and run the reaction, according to designers, who make sure that it proceeds with the greatest efficiency towards the desired output product. Energy input, energy removal, raw material costs, labour costs, etc. are all typical operating costs.

\($$It is known that Conversion $\mathrm{X}=1-\frac{C_A}{C_A}$$$=1-\frac{0.01}{1}=0.99$$a) $-r_{\mathrm{A}}=k \quad k=0.05 \mathrm{mal} / \mathrm{hm}^3$For CSTR the gerneral equation is:$$\frac{v}{V_0 C_s}=\frac{x}{r_s}$$Where $V$ is the volume of the reactor.$$V=\frac{092 \times 10 \times 0.5}{0.05}=99 \mathrm{dm}^3$$For PFR the general equation is:$$\)

\($$ \begin{aligned}& \frac{V}{V_0 C_{A a}}=\int_{x 1}^{x_1} \frac{d X}{-r_A} \\& \frac{V}{V_0 C_{20}}=\frac{X}{-r_A} \\& V=\frac{0.90 \times 10 \times 0.5}{005}=99 \mathrm{dm}^3\end{aligned}$$\)

\($$The volume of PFR is the same as the valume far a CSTR since the rate is coristart and independert of concentratian.\\b)$$-r_A=k C_A \text { with } k=0.0001 \mathrm{~s}^{-1}=0.0001 \times 3600 \mathrm{hr}^{-1}=0.36 \mathrm{hr}^{-1}$$Again,For CSTR the general equation is:$$\frac{v}{V_s C_s}=\frac{x}{r_s}$$Where $V$ is the volume of the reasctor.$$\)

\($$\begin{aligned}& V=\frac{a 00 \times 16 \times 05}{kCa^2}-\frac{136}{3 \times (001 \times 0.5)^2} \\& =66000 \mathrm{dm}^3 \\&\end{aligned}\)

\($$For PFR another expression for the reactor.$$\)

\(\mathrm{\dfrac{d C_A V_o}{d V}=r_A=k C_A^2}\\\)

\($$Integgrating$$\)

\(\begin{aligned}& \frac{V_o}{k} \int_{C_A}^{C_A} \frac{\mathrm{d} C_A}{C_A}=-\int_0^V d V \\& \frac{V_o}{k}\left(\frac{1}{C_A}-\frac{1}{C_{A D}}\right)=V \\\end{aligned}\)

\(\begin{aligned}\\& \mathrm{~V}=\frac{10}{3}\left(\frac{1}{{0.001} C_{A 0}}-\frac{1}{C_{A 0}}\right) \\& \text { Volume }=660 \mathrm{dm}^3\end{aligned}\)

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Find E[x] when x is sum of two fair dice?

Answers

Answer:

When two fair dice are rolled, 6×6=36 observations are obtained.

P(X=2)=P(1,1)=

36

1

P(X=3)=P(1,2)+P(2,1)=

36

2

=

18

1

P(X=4)=P(1,3)+P(2,2)+P(3,1)=

36

3

=

12

1

P(X=5)=P(1,4)+P(2,3)+P(3,2)+P(4,1)=

36

4

=

9

1

P(X=6)=P(1,5)+P(2,4)+P(3,3)+P(4,2)+P(5,1)=

36

5

P(X=7)=P(1,6)+P(2,5)+P(3,4)+P(4,3)+P(5,2)+P(6,1)=

36

6

=

6

1

P(X=8)=P(2,6)+P(3,5)+P(4,4)+P(5,3)+P(6,2)=

36

5

P(X=9)=P(3,6)+P(4,5)+P(5,4)+P(6,3)=

36

4

=

9

1

P(X=10)=P(4,6)+P(5,5)+P(6,4)=

36

3

=

12

1

P(X=11)=P(5,6)+P(6,5)=

36

2

=

18

1

P(X=12)=P(6,6)=

36

1

Therefore, the required probability distribution is as follows.

Then, E(X)=∑X

i

⋅P(X

i

)

=2×

36

1

+3×

18

1

+4×

12

1

+5×

9

1

+6×

36

5

+7×

6

1

+8×

36

5

+9×

9

1

+10×

12

1

+11×

18

1

+12×

36

1

=

18

1

+

6

1

+

3

1

+

9

5

+

6

5

+

6

7

+

9

10

+1+

6

5

+

18

11

+

3

1

=7

E(X

2

)=∑X

i

2

⋅P(X

i

)

=4×

36

1

+9×

18

1

+16×

12

1

+25×

9

1

+36×

36

5

+49×

6

1

+64×

36

5

+81×

9

1

+100×

12

1

+121×

18

1

+144×

36

1

=

9

1

+

2

1

+

3

4

+

9

25

+5+

6

49

+

9

80

+9+

3

25

+

18

121

+4

=

18

987

=

6

329

=54.833

Then, Var(X)=E(X

2

)−[E(X)]

2

=54.833−(7)

2

=54.833−49

=5.833

∴ Standard deviation =

Var(X)

=

5.833

=2.415

Explain what the ancient Romans did to solve the problem in the following scenario.

Situation: In ancient Italy, farmers were experiencing a drought. Rather than move to where the water was, Roman inventors decided to bring the water to the farmers.

Answers

Answer:

They moved fresh water around their vast empire with aqueducts and canals.

Explanation:


What are the limitations of portable computers?​

Answers

You can read about it here https://www.cornellcollege.edu/information-technology/policies/technology-policies/limitations-of-laptops.shtml

A viscosity sensing instrument cost $46,000 and has a $5,500 salvage value with a 7-years recovery period. The anntal operating cost is $3,700 per year and annual income of $10,000 per month Use straight line depreciation to calculate the cumulative depreciation at year 6 . QUESTION 10 Aviscosity sensing instrument cost $46,000 and has a $5,500 salvage value with a 7 -years recovery period. The annual operating cost is $3,700 por year and annual income of $10,000 per month. Use straight line depreciation to calculate the book value at the end of year 6

Answers

Given that,The cost of a viscosity sensing instrument = $46,000

Salvage value = $5,500Recovery period = 7 years

Annual operating cost = $3,700

Annual income = $10,000 per month Straight line depreciation method is given by;

Depreciation = (Cost - Salvage Value) / Recovery period

Now, Depreciation = ($46,000 - $5,500)

/ 7 years = $6,500 per year

Total cumulative depreciation at the end of 6 years

= Depreciation x 6= $6,500 x 6= $39,000

Book value at the end of 6 years will be the difference between the cost and the total cumulative depreciation.

Book value = Cost - Total cumulative depreciation

= $46,000 - $39,000

= $7,000

The book value at the end of year 6 is $7,000.

To know more about viscosity visit :

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A scale on a blue print drawing of a house shows that 666 centimeters represents 333 meters.
What number of centimeters on the blue print represents an actual distance of 272727 meters?

Answers

Answer:

545454cm

Explanation:

The blue print drawing of the house shows 666 centimeters, but the real picture of the house is 333 meters. So let the number of cm on the blueprint that represent the distance of 272727 meters be x. Firstly convert the meters to centimeters 666cm = 333m, x=272727m ; then cross multiply, 666cm=33300cm x=27272700cm ; x =(666cm×272727cm)/33300cm =545454cm.

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