How many liters of hydrogen gas is produced from 3.712 g of magnesium with 104.2ml of 1.385 mol/L HCL (aq) at SATP? Please show your work and explain it. I really need help with this question, it's on one of my quizzes.

Answers

Answer 1

Answer:

\(V=1.61L\)

Explanation:

Hello,

In this case, the undergoing chemical reaction is:

\(Mg+2HCl\rightarrow MgCl_2+H_2\)

Next, we compute the reacting moles of each reactants:

\(n_{Mg}=3.712gMg*\frac{1molMg}{24.305 gMg}=0.153molMg\)

\(n_{HCl}=1.385\frac{molHCl}{L}*0.1042L=0.144molHCl\)

Then, as magnesium and hydrohloric acid are in a 1:2 molar ratio 0.153 moles of magnesium will completely react with 0.306 moles of hydrochloric acid yet we only have 0.144 moles, therefore, limiting reactant is hydrochloric acid. Thus, we compute the produced moles of hydrogen:

\(n_{H_2}=0.144molHCl*\frac{1molH_2}{2molHCl} =0.072molH_2\)

Finally, we use the ideal gas equation with T=298K and 1atm (STP conditions) to compute the liters of hydrogen gas:

\(PV=nRT\\\\V=\frac{nRT}{P}=\frac{0.072mol*0.082\frac{atm*L}{mol*K}*273K}{1atm}\\ \\V=1.61L\)

Best regards.


Related Questions

4. The equilibrium constant of the following reaction for the decomposition of
phosgene at 25°C is 4.282 x 10-².
COCI, (g) CO(g) + Cl₂(g)
a. What is the concentration of COCl₂ when the concentrations of both CO and
Cl₂ are 5.90 x 10-³ M?
b. When the equilibrium concentration of COC12 is 0.003 70 M, what are the
concentrations of CO and Cl₂? Assume the concentrations are equal.

Answers

a) the concentration of COCl₂ when the concentrations of both CO and

Cl₂ are 5.90 x 10-³ M is 8.13 x 10^(-3) M

b) When the equilibrium concentration of COC12 is 0.003 70 M,, the concentrations of CO and Cl₂ are approximately 0.0511 M, assuming they are equal.

To solve the given equilibrium problem, we can use the equilibrium constant expression and the stoichiometry of the reaction. The equilibrium constant expression for the decomposition of phosgene reaction is:

Kc = [CO][Cl₂] / [COCl₂]

where [CO], [Cl₂], and [COCl₂] are the concentrations of the respective species at equilibrium.

a. To find the concentration of COCl₂ when [CO] = [Cl₂] = 5.90 x 10^(-3) M, we can substitute the given values into the equilibrium constant expression:

4.282 x 10^(-2) = (5.90 x 10^(-3) M) * (5.90 x 10^(-3) M) / [COCl₂]

Simplifying the equation, we find:

[COCl₂] = (5.90 x 10^(-3) M) * (5.90 x 10^(-3) M) / (4.282 x 10^(-2))

[COCl₂] ≈ 8.13 x 10^(-3) M

b. When the equilibrium concentration of COCl₂ is 0.00370 M, and assuming [CO] = [Cl₂], we can use the equilibrium constant expression to find the concentrations of CO and Cl₂:

4.282 x 10^(-2) = ([CO])^2 / (0.00370 M)

Simplifying the equation, we find:

[CO] ≈ [Cl₂] ≈ √((4.282 x 10^(-2)) * (0.00370 M))

[CO] ≈ [Cl₂] ≈ 0.0511 M

Therefore, when the equilibrium concentration of COCl₂ is 0.00370 M, the concentrations of CO and Cl₂ are approximately 0.0511 M, assuming they are equal.

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If you took a spoonful of tea out of the cup, which would be more painful if it spilled on you? *

Answers

Based on my understanding of this question in my opinion atleast small sharp pain is worse so the cup would be more painful as it would spread that sensation over a large part of the body. (Hope this helps have a great day)

How many grams of CuSO4⋅5H2O are needed to prepare 100 mL of a 0.10 M solution?

Answers

2.497 grams of CuSO4⋅5H2O are needed to prepare 100 mL of a 0.10 M solution.

What is molarity ?

The term molarity is defined as the moles of a solute per liters of a solution. Molarity is also known as the molar concentration of a solution.

We need your target solution to have a molarity of 0.10 M and a volume of 100. mL. Therefore,molarity is defined as moles of solute per liter of solution, you can say that the target solution must contain.

Now, calculate the hydrate's percent composition by using its molar mass and the molar mass of anhydrous copper(II) sulfate.

= 159.61g mol−1(159.61+5×18.015)g mol−1×100

= 63.92% CuSO4

This tells you that for every 100 g of copper(II) sulfate pentahydrate, you get 63.92 g of anhydrous copper(II) sulfate. Use this as a conversion factor to get

= 1.596g CuSO4⋅100 g × CuSO4⋅5H2O / 63.92g CuSO4

= 2.497 g CuSO4⋅5H2O

Thus, 2.497 grams of CuSO4⋅5H2O are needed to prepare 100 mL of a 0.10 M solution.

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certain meteorites have been examined and found to carry samples of which molecules? select all that apply.

Answers

Lipids, nucleotides, amino acids, and monosaccharides are the proper answers as to which molecules are present in some of the meteorites that have been studied.

Define Meteorites.

Rocks or metal fragments from space are referred to as meteorites because they fall to earth. Some scientists, particularly those looking to support or refute the Panspermia idea, which holds that life originated from other planets, have investigated and analyzed these rocks and metals in great detail.

Compounds like lipids, DNA, RNA, and amino acids were discovered in several research.Before 2019, there had been no indication of monosaccharides, but in 2019 a global team found sugars like xylose and arabinose in several meteorites.Although its precursor, amino acids, have been found in meteorites, no polypeptides have been.

Lipids, nucleotides, amino acids, and monosaccharides are thus the proper answers to the compounds discovered in several meteorites.

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Given: 36.7 grams of CaF2 is added to 300 mL water. Find molarity?

Answers

Answer:

2 M

General Formulas and Concepts:

Math

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Chemistry

Unit 0

Reading a Periodic TableUsing Dimensional Analysis

Aqueous Solutions

Molarity = moles of solute / liters of solutionExplanation:

Step 1: Define

36.7 g CaF₂

300 mL H₂O

Step 2: Identify Conversions

Molar Mass of Ca - 40.08 g/mol

Molar Mass of F - 19.00 g/mol

Molar Mass of CaF₂ - 40.08 + 2(19.00) = 78.08 g/mol

1000 mL = 1 L

Step 3: Convert

Solute

Set up:                               \(\displaystyle 36.7 \ g \ CaF_2(\frac{1 \ mol \ CaF_2}{78.08 \ g \ CaF_2})\)Multiply:                             \(\displaystyle 0.470031 \ mol \ CaF_2\)

Solution

Set up:                              \(\displaystyle 300 \ mL \ H_2O(\frac{1 \ L \ H_2O}{1000 \ mL \ H_2O})\)Multiply:                            \(\displaystyle 0.3 \ L \ H_2O\)

Step 4: Find Molarity

Substitute [M]:                    \(\displaystyle x \ M = \frac{0.470031 \ mol \ CaF_2}{.3 \ L \ H_2O}\)Divide:                                \(\displaystyle x = 1.56677 \ M\)

Step 5: Check

Follow sig fig rules and round. We are given 1 sig fig as our lowest.

1.56677 M ≈ 2 M

p32 is a radioactive isotope with a half-life of 14.3 days. if you currently have 74.7 g of p32, how much p32 was present 8.00 days ago?

Answers

p32 is a radioactive isotope with a half-life of 14.3 days. if you currently have 74.7 g of p32, 162g of p32 was present 8.00 days ago.

P32 has a 14.3-day half-life, which implies that every 14.3 days, the amount of P32 will be cut in half.

First, let's determine how many half-lives have passed in eight days:

Time elapsed ÷ by half-life (8.00 days) × half-life (14.3 days) results in 0.559 half-lives.

Therefore, 0.559 half-lives have passed after 8.00 days.

Now, we can use the calculation below to determine how much P32 was present 8.00 days ago:

N = N0 × (1/2)^(t/t1/2)

where: N0 = P32's original amount

N is the amount of P32 at time t, where t1/2 is its half-life.

t is the passing of time.

We can plug in the data and solve for N0 because we know that the current concentration of P32 is 74.7 g:

N0 = 74.7 g (1/2) (0.559 14.3 days 14.3 days)

74.7 g = N0 × (1/2)^0.559

(Rounded to three major values) N0 = 163 g

Thus, 163 g of P32 were present eight days prior.

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What is the function of the organelle labeled C in the Diagram

Answers

Answer:

The nucleus is responsible for storage as well as the transfer of genetic materials in the form of DNA or RNA.  It aids in the process of transcription by the synthesis of mRNA molecules and the nucleus controls the activity of all other organelles while facilitating processes like cell growth, cell division and synthesis of proteins.

Explanation:

The nucleus is a double membrane-bound structure responsible for controlling all cellular activities as well as a center for genetic materials, and it’s transferring.

Answer:

It is the nucelus

Explanation:

the nucleus is the control center of the cell

An atomic model shows 19 protons, 20 neutrons, and 19 electrons. What is the mass number of the atom?
A. 39
B. 20
C. 58
D. 19

Answers

Answer:

A. 39

Explanation:

Mass number= #protons + #neutrons

19+20= 39

Taking into account the definition of mass number, the correct option is the option A: the atomic mass of the atom is 39.

First of all, all atoms are made up of subatomic particles: protons and neutrons, which are part of their nucleus, and electrons, which revolve around them. Protons are positively charged, neutrons are neutrally charged, and electrons are negatively charged (electrons).

On the other hand, the mass number tells us the total number of particles in the nucleus. That is, the mass number is the sum of the number of protons and the number of neutrons in the atomic nucleus:

Mass number = (number of protons) + (number of neutrons)

It is represented by the letter A.

In this case:

number of protons= 19number of neutrons= 20

So:

Mass number = 19 + 20

Solving:

Mass number= 39

In summary, the correct option is the option A: the atomic mass of the atom is 39.

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1-bromo-2-methylpropane t-buo- k in t-buoh ?

Answers

The reaction between 1-bromo-2-methylpropane and potassium t-butoxide in t-butanol results in the formation of t-butyl 2-methylpropan-2-ol, which is a larger, more polar compound. The resulting compound is soluble in polar solvents such as t-butanol and can be separated from the reaction mixture by extraction. Water or ethanol can be used as polar solvents for the extraction process.

Organic compounds are molecules made up of carbon atoms bonded to other atoms such as hydrogen, oxygen, nitrogen, and others. These compounds have a wide range of properties and applications in fields such as medicine, agriculture, and industry.

Let's consider the reaction of 1-bromo-2-methylpropane with potassium t-butoxide in t-butanol. The starting material, 1-bromo-2-methylpropane, has the chemical formula C4H9Br and contains a methyl group and a bromine atom attached to a carbon chain.

When this compound is mixed with potassium t-butoxide (K+ - O - C(CH3)3), a substitution reaction occurs in which the bromine atom is replaced by the t-butoxide group. The resulting compound is t-butyl 2-methylpropan-2-ol, which has the chemical formula C8H18O.

The reaction can be represented as follows:

C4H9Br + K+ - O - C(CH3)3 → C8H18O + KBr

In this reaction, the potassium t-butoxide acts as a nucleophile and attacks the carbon atom attached to the bromine atom in the 1-bromo-2-methylpropane molecule. This displaces the bromine atom and creates a new bond between the carbon atom and the t-butoxide group. The resulting compound, t-butyl 2-methylpropan-2-ol, is a larger molecule than the starting material and is more polar due to the presence of the hydroxyl group.

The compound t-butyl 2-methylpropan-2-ol is soluble in polar solvents such as t-butanol due to the polar nature of the hydroxyl group. The compound can be separated from the reaction mixture by extraction with a polar solvent such as water or ethanol. The compound is less dense than water and can be separated by decantation or centrifugation.

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a student puts a certain solid into a container. he comes nack the next dau and looks at the container. which of the following would most likely be a sign that a new substance has formed in the container

Answer choices
A: the solid has become a different size
B: the solid has become a different color
C: the solid has become completely liquid
D: the solid has become a different shape

Answers

Of the given choices, the most likely sign that a new substance has formed in the container would be if the solid has become completely liquid. Option C.

This is because a change in state from solid to liquid generally indicates that the substance has undergone a physical change rather than a chemical change.

If the solid has become a different size or shape, it may simply be due to physical processes like erosion or dissolution. If the solid has become a different color, it may also be due to physical processes like absorption or reflection of light rather than a chemical change.

However, if the solid has completely melted into a liquid, it may be an indication that a chemical change has occurred. This is because the melting point of a substance is a physical property that is determined by the chemical structure and intermolecular forces of the substance.

If the substance has undergone a chemical change, it may have a different melting point than the original solid, which could result in it melting at a different temperature. Additionally, the formation of a liquid may indicate that the substance has reacted with another substance in the container to form a new compound.

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Make a diagram showing how communication satellites could be used to relay
information from a broadcasting station in new york to a receiving station in
london.

Answers

Answer:

Explanation:

Satellite acts as a relay station for earth sources. A transmission station sends the information to the satellite, which in turn retransmits to the receiving stations. The original signal being transmitted from the earth station to the satellite is called uplink of 6 GHz The retransmitted signal from the satellite to the receiving station is called downlink of 4 GH frequency. The transponder is the transmitter-receiver combination in a transponder.

Make a diagram showing how communication satellites could be used to relayinformation from a broadcasting

An empty beaker weighs 20g and when filled with
Kensene weighs 60g. If the Volume of the kerosene is 15cm2 calculate
the density of the kerosene

Answers

Answer: The density of kerosene is \(2.7g/cm^3\)

Explanation:

Density is defined as the mass contained per unit volume.

\(Density=\frac{mass}{Volume}\)

Given : Mass of kerosene = mass of beaker with kerosene - mass of empty beaker = 60 g - 20 g = 40 g

Volume of kersone = \(15cm^3\)

Putting in the values we get:

\(Density=\frac{40g}{15cm^3}\)

\(Density=2.7g/cm^3\)  

Thus the density of kerosene is \(2.7g/cm^3\)

18 points ! Kinetic Molecular Theory has to do with
A. the identity of gas particles.
B. the pressure of gas particles.
C. the motion of gas particles.
D. the volume of gas particles.

Answers

Answer:

C. the motion of gas particles.

Explanation:

The kinetic molecular theory is a simple but very effective model that effectively explains ideal gas behavior. The theory assumes that gases consist of widely separated molecules of negligible volume that are in constant motion, colliding elastically with one another and the walls of their container with average velocities determined by their absolute temperatures.

How would the electron configuration of nitrogen change to make a stable configuration?
(1 point)

Answers

Answer:

it would gain three electrons

Explanation:

have a nice day

Answer: It would gain THREE electrons

Explanation:

took the assessment got 100% hope you get the same

Challenge What mass of methane (CH4) must be burned in order to liberate 12,880 kJ
of heat? Refer to Table 3.
HW

Answers

The mass of methane (CH₄) which must be burned in order to liberate 12,880 kJ of heat is 231.9 g

A combustion reaction is a reaction in which a substance reacts with the oxygen and releases the energy in the form of light and heat.

Given data :

Heat energy liberated = 12,800 kJ

Δ Combustion = 891 kJ/mol

To calculate the mass of methane (CH₄) -

Number of moles of methane burned = Heat energy used

                                                                 Δ Combustion

Number of moles of methane burned = 12880

                                                                    891

Number of moles of methane burned = 14.455 mol

Since, Molar mass of methane is 16.043 g/mol

So, Mass of methane = Number of moles of x Molar mass of methane

                                          methane burned  

Mass of methane = 14.455 mol x 16.043 g/mol

Mass of methane = 231.9 g

Therefore, the mass of methane which must be burned is 231.9 g.

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how many electrons in the n=2 shell of a ground state atom can have the quantum numbers

Answers

In the n=2 shell of a ground state atom, there can be a total of 8 electrons. The quantum numbers that define these electrons are the principal quantum number (n), the azimuthal quantum number (l), the magnetic quantum number (m_l), and the spin quantum number (m_s).

For the n=2 shell, the possible values of l are 0 (s-subshell) and 1 (p-subshell). For l=0, there is only one possible value of m_l (0), and for l=1, there are three possible values of m_l (-1, 0, and 1). Thus, there are four possible combinations of n, l, and m_l for the n=2 shell.

Considering the spin quantum number m_s, there are two possible values: +1/2 and -1/2. This means that each combination of n, l, and m_l can have two possible spin states.

Hence, in the n=2 shell of a ground state atom, there can be 8 electrons with unique sets of quantum numbers (4 combinations of n, l, and m_l, each with 2 possible spin states).

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Calculate the volume occupied by 2.00 moles of H2 at 300.0 Kand 1.25
atm

Answers

Answer:

39.4 Liters

Explanation:

Using the general gas law equation as follows:

PV = nRT

Where;

P = pressure (atm)

V = volume (L)

n = number of moles (mol)

R = gas law constant (0.0821 Latm/molK)

T = temperature (K)

According to the information provided in this question;

P = 1.25atm

V = ?

T = 300K

n = 2.00mol

Using PV = nRT

V = nRT/P

V = (2 × 0.0821 × 300) ÷ 1.25

V = 49.26 ÷ 1.25

V = 39.41

V = 39.4 Liters

What is the best description of radiation

Answers

Radiation is the emission and propagation of energy in the form of waves, rays, or particles. There are three main types of radiation Non-ionizing radiation , Ionizing radiation, and Neutrons.

Non-ionizing radiation is the release of energy from the lower-energy region of the electromagnetic spectrum. Ionizing radiation is radiation with sufficient energy to remove an electron from an atomic orbital, forming an ion. Neutrons are particles found in the atomic nucleus.

Radiation includes the emanation of any portion of the electromagnetic spectrum, plus it includes the release of particles. An example is a burning candle that emits radiation in the form of heat and light. Radiation is the release of energy, whether it takes the form of waves or particles. Radioactivity refers to the decay or splitting of an atomic nucleus. A radioactive material releases radiation when it decays.

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19) While watching the news one night, you see a commercial for a new vehicle that will be powered
by water. This will be accomplished by passing electricity through water, producing pure oxygen
and pure hydrogen. These two gases will then be mixed together and ignited. This process of
passing electricity through a substance to separate molecules is called
A) electrochemistry
C) electrolysis
B) electrorefining
D) electroplating

Answers

The process of passing electricity through a substance to separate molecules is called electrolysis. Option C is correct.

Electrolysis is a process in which an electric current is passed through a conducting medium (such as a liquid or a molten electrolyte) in order to bring about a chemical change. It involves the use of electrical energy to drive a non-spontaneous redox reaction, causing the decomposition or transformation of substances at the electrodes.

Electrolysis has a wide range of applications in various industries. For example, it is used in the extraction of metals from their ores, such as the production of aluminum from bauxite, or the extraction of copper from copper ores.

Electrolysis plays a crucial role in many technological advancements and industrial processes, making it an important area of study in the field of electrochemistry. It has widespread applications in fields such as metallurgy, chemical industry, energy production, and environmental remediation.

Hence, C. is the correct option.

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Which kind of energy is stored in the chemical bonds of molecules found in
wood?
A. Mechanical energy
B. Potential energy
C. Gravitational energy
D. Kinetic energy

Answers

Answer:

B. Potential energy

Explanation:

It's not mechanical energy, because it is not doing work

It's not kinetic energy because it;s not moving

It's not gravitational energy because it is not above the ground

It is potential energy because it is stored energy

B. Potential Energy

How do the funtions of organelles help keep a cell functioning and could it do its function just as wellif an organell was missing or damage ?

Answers

The functions of organelles help to keep a cell functioning because they generate different products such as proteins in mitochondria required to maintain cell homeostasis.

What are the functions of cell organelles?

Cell organelles function as specialized structures within our cells that have specific functions. They are like tiny organs that work together to keep our cells functioning properly such as the nucleus, mitochondria, endoplasmic reticulum, Golgi apparatus, and peroxisomes.

Therefore, with this data, we can see that organelles aid in the upkeep of a cell by creating various substances, like the proteins made in mitochondria, that are vital for cell equilibrium.

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If you are given a piece of rock sugar about 2.5 cm in diameter, describe three steps you can take to dissolve it in a beaker of water in the shortest time.​

Answers

Answer:

1. Crush the sugar into powder.

2. Heat the water.

3. Dissolve it by stirring continuously

Explanation:

1. Crushing the sugar into powder increases surface area. So it increases the changes of dissolving

2. Heating the water increases the capacity of water to dissolve sugar.

3. Stirring continuously increases randomness of particles so eases mixing up thus increasing dissolving tendency.

If 25.0 g of iron(III) phosphate reacts with excess sodium sulfate, how many molecules of sodium phosphate can be made?

If 25.0 g of iron(III) phosphate reacts with excess sodium sulfate, how many molecules of sodium phosphate

Answers

Answer:

so mucjsuat least amount of soduim is will be 25percent

what are characteristics of applied force ?

Answers

Answer:

An applied force is an interaction of one object on another that causes the second object to change its velocity. A resistive force passively resists motion and works in a direction opposite to that motion. An inertial force resists a change in velocity.

Explanation:

What type of functional groups or atoms would need to be present in the r groups for hydrogen?

Answers

Alcohols (O-H), acids (COOH), or amines (NH2)-polar groups are need to be present in the R group for hydrogen.

This type of functional group contains only hydrogen and carbon as constituent elements. They are commonly represented with ‘R’. They are also called hydrocarbyl groups. The bonding between the carbon atoms can be single, double, or triple.

When we define a functional group, we imply a group of atoms of the same or different elements forming a chemically-active section of a compound and creating a class of new compounds. In organic chemistry, there are many such functional groups. For example, an alcohol group (-OH) defines a particular set of characteristics of the compounds that have it as a constituent. These characteristics will vary from one functional group to the other.

Therefore,

Three function groups  Alcohols (O-H), acids (COOH), or amines (NH2) needs to be present in the R group for hydrogen.

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What type of functional groups or atoms would need to be present in the r groups for hydrogen?

draw the complete mechanism of aldol condensation reaction.

Answers

The aldol condensation reaction involves the formation of a \(\beta\)-hydroxy aldehyde or ketone through the reaction of an enolate ion with a carbonyl compound.

The aldol condensation reaction is a key synthetic transformation in organic chemistry. It involves the reaction of an enolate ion, derived from a carbonyl compound, with another carbonyl compound. The enolate acts as a nucleophile, attacking the electrophilic carbonyl carbon of the second carbonyl compound.

This results in the formation of a carbon-carbon bond, as well as the formation of a new hydroxy group. The intermediate formed is a\(\beta\)-hydroxy aldehyde or ketone, which can undergo further dehydration to form an \(\alpha ,\beta\)-unsaturated aldehyde or ketone.

The reaction proceeds through two main steps: nucleophilic addition and subsequent elimination. In the first step, the enolate attacks the carbonyl carbon, leading to the formation of a tetrahedral intermediate.

In the second step, a proton is abstracted from the hydroxy group of the intermediate, followed by the elimination of water. This results in the formation of the \(\beta -hydroxy aldehyde\) or ketone.

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draw the complete mechanism of aldol condensation reaction.

The specific heat of lead is 0.129 J/gC. Find the amount of heat released when 2.4 moles of lead are cooled from 37.2C to 22.5C.

Answers

Answer:

-943J or 943J released

Explanation:

m=2.4 mol x 207.g/ mol=497.3g

c=.129 J/gC

T= T f-Ti=(22.5-37.2)=-14.7C

Q=?

Q=(49.3g)(.129 J/g C) (-14.7 C)

= -943 J or 943 J released

Calculate the new volume if 12.78 L of a gas at -50*C is heated to a temperature of 28*C

Answers

Explanation:

V1/T1 = V2/T2      T  must be in Kelvin

12.78 / (-50 + 273.15)  =  V2 / ( 28+ 273.15)

V2 = 17.25 L

Please help me 38 points!

Please help me 38 points!

Answers

Answer:

you can get these 38 point after giving answer of questions.

A household in Abu Dhabi consumes a monthly average electric energy of 3750 kWh. The majority of electricity generation capacity in Abu Dhabi is produced oy natural gas-fuelled power generation plants. If gas turbines consume 0.21 m
3
of equivalent natural gas for every 1kWh of electricity produced. 1. Convert the monthly energy use of the household to m
3
of natural gas equivalent and kg of oil equivalent. [hint: assume the conversion efficiency of natural gas turbine to be 33% ] 2. Assuming the average CO
2

emissions coefficient for gas fired power plants is 400 g/kWh, what is the CO
2

footprint in kilograms of the household in that month?

Answers

The answers to the given problem are monthly energy use of household in m3 of natural gas equivalent = 787.5 m³, Monthly energy use of household in kg of oil equivalent = 0.29484627 ktoe, CO2 footprint of household in kg = 1500 kgCO2 (1.5 metric tonnes of CO2).

1) Calculation of monthly energy use in m3 of natural gas equivalent:For every 1 kWh of electricity produced, the gas turbines consume 0.21 m³ of natural gas equivalent.

The consumption of natural gas equivalent can be calculated by multiplying the monthly average electric energy consumption by the quantity of natural gas equivalent that is consumed by gas turbines for every 1 kWh of electricity produced.

So, the monthly consumption of natural gas equivalent will be,

3750 kWh * 0.21 m³/kWh = 787.5 m³ of natural gas equivalent

Calculation of monthly energy use in kg of oil equivalent:

Assuming that natural gas has a calorific value of 55.5 MJ/m³, and that the conversion efficiency of natural gas turbine is 33%, the equivalent energy that will be produced from 1 m³ of natural gas is 55.5 x 0.33 = 18.315 MJ/m³.

In order to calculate the equivalent energy that will be produced from 787.5 m³ of natural gas, we can use the formula:

Equivalent energy = calorific value of natural gas x volume of natural gas x conversion efficiency

So, the equivalent energy that will be produced from 787.5 m³ of natural gas is,

Equivalent energy = 55.5 x 787.5 x 0.33

= 12337.3125 MJ

= 12.337 GJ

So, the monthly consumption of oil equivalent will be:

12.337 GJ / 41.868 = 0.29484627 ktoe (kilo tonnes of oil equivalent)

2) Calculation of CO2 footprint in kg:

Assuming the average CO2 emissions coefficient for gas fired power plants is 400 g/kWh.

The CO2 footprint in kg can be calculated by multiplying the monthly average electric energy consumption by the CO2 emissions coefficient of gas-fired power plants.

So, the CO2 footprint in kg will be:

3750 kWh x 0.4 kg/kWh = 1500 kgCO2 (i.e., 1.5 metric tonnes of CO2).

Therefore, the answers to the given problem are:

Monthly energy use of household in m3 of natural gas equivalent = 787.5 m³

Monthly energy use of household in kg of oil equivalent = 0.29484627 ktoe

CO2 footprint of household in kg = 1500 kgCO2 (1.5 metric tonnes of CO2).

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