6 NaOH + 2 Al --> 2 Na3AlO3 + 3 H2 If you start with 258 g of Al, how many moles of Na3AlO3 can you make?

Answers

Answer 1

Solution :

Assuming all Al will be consumed in the reaction.

From the given equation, 2 mole of Al produce 2 mole of \(Na_3AlO_3\).

So, 1 mole of Al produce 1 mole of  \(Na_3AlO_3\).     .....statement 1)

Number of moles of Al in 258 gram of Al.

\(n = \dfrac{mass}{molar\ mass}\\\\n = \dfrac{258}{27}\ moles\\\\n = 9.556 \ moles\)

Therefore, from statement 1) number of moles of \(Na_3AlO_3\) produced is also 9.556 moles.


Related Questions

.115km=_______cm

Please I need help!
Explanation need

Answers

Answer:

online it says .115km equals 11500cm

Please Help me with this question, No.4

Please Help me with this question, No.4

Answers

17.0 g of Al₂O₃ forms from 16 g of O₂ and excess Al ,and when the molar mass of  Al₂O₃ is 102 g/mol.

What is molar mass?

Molar mass is the mass of one mole of a substance. It is usually expressed in units of grams per mole (g/mol). For example, the molar mass of carbon is 12.01 g/mol, which means that one mole of carbon has a mass of 12.01 grams. Molar mass is useful in chemistry because it allows us to convert between mass and moles of a substance, which is important for many chemical calculations.

The molar mass of  Al₂O₃ is 102 g/mol, which means that for every 102 g of  Al₂O₃ produced, 3 × 32 g (or 96 g) of O₂ is consumed.

We can use this ratio to find the mass of  Al₂O₃ formed from 16 g of O₂:

96 g of O₂ produces 102 g of  Al₂O₃

1 g of O₂ produces (102 g / 96 g) of Al₂O₃

16 g of O₂ produces (102 g / 96 g) × 16 g = 17.0 g of  Al₂O₃

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A tow truck does 10,000 J of work in 5 seconds. Calculate the power.

Answers

Answer:

power is work/time so 10,000j/5s=2000J/s

a certain culture of the bacterium streptococcus a initially has 8 bacteria and is observed to double every 1.6 hours. (a) estimate the number of bacteria after 26 hours. (round your answer to the nearest whole number.) bacteria (b) after how many hours will the bacteria count reach 10,000? (round your answer to one decimal place.) t

Answers

(a) here no is the initial amount and no = 8 we are told that the culture doubles every 1.5 hours. we can use the model given to us in part a to find the variable a.

16-8.2 1.5/a

16 2

8 21 1.5/a = 2

1 = 1.5

a = 1.5

so our exponential model is now (n(t) = 8.2 ±/1.5

(b) Number of bacteria after 26 hours:

n(t) = 8.2/1.5

put t = 26

26/1.5

n(t) = 8.2

n(t) = 8(165140-37) n(t) ≈ 1321123.

Calculate the number of bacteria per milliliter or gram of sample by multiplying the number of colonies by the dilution factor times the amount of sample added to the liquefied agar. The easiest way to measure bacterial growth is to place the sample on a clear glass plate under a microscope and count the number of bacterial cells.

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The change in mass during a nuclear reaction is given
by which equation?
Select one:

A

B

C

D

The change in mass during a nuclear reaction is givenby which equation?Select one:ABCD

Answers

Answer:c

Explanation:

c

How are the atoms of carbon alike and different?

Answers

Atoms of both isotopes of carbon contain 6 protons. Atoms of carbon-12 have 6 neutrons, while atoms of carbon-14 contain 8 neutrons

PLZ GO TO MY PAGE ND ANSWER MY QUESTIONS BOUT CHEMISTRY DUE TMMR HELP ASAP

Answers

Answer:

Sorry mujhe nahi aata...

Hey can somebody please give me the answer to this.

Hey can somebody please give me the answer to this.

Answers

Answer:

it is d or b hope this help

Answer:

A

Explanation:

3.
Find the correct element based on the information given (on the right side) and then drag
the element over.
Cesium
Magnesium
Bismuth
Bromine
Period 3 & Group 2A
Answer by dragging items here
Period & Group 7A
Answer by dragging items here
Period 6 & Group 1A
Answer by dragging items here
Period 6 & Group SA
Answer by dragging items here

Answers

Period 3 & Group 2A = Magnesium

Period & Group 7A = Bromine

Period 6 & Group 1A = Cesium

Period 6 & Group SA = Bismuth

What is groups and period in periodic table ?

Groups - The horizontal row of the periodic table that represents an element's valence electron count.

Periods - The horizontal columns of the periodic table that represent an element's number of electron shells. Families: Compounds with comparable characteristics and the same number of valence electrons.

Elements in the periodic table can be divided into groups and eras. The periodic table is organised into horizontal rows for periods and vertical columns for groupings. As you proceed over a period or down a group, the atomic number rises.

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How does magma move within the mantle?

Answers

Magma is molten rock that exists beneath the Earth's surface, primarily in the mantle layer. The movement of magma within the mantle is driven by several factors, including heat, pressure, and gravity.

The mantle is a layer of the Earth's interior that extends from the bottom of the crust to the top of the core, and it is composed of solid rock. However, within the mantle, there are regions of the rock that are partially melted, forming magma. This magma is less dense than the surrounding solid rock and tends to rise towards the Earth's surface.

The movement of magma within the mantle is influenced by convection currents, which are caused by the heat generated by the Earth's core. These convection currents cause magma to rise towards the Earth's surface, where it may form volcanoes or other types of volcanic activity.

Additionally, the movement of tectonic plates can also play a role in the movement of magma within the mantle. As plates move apart, magma can rise up to fill the space between them, leading to the formation of new crust.

Overall, the movement of magma within the mantle is a complex process that is influenced by a variety of factors, including heat, pressure, gravity, and the movement of tectonic plates.

For charged particles, how does the strength of the interaction vary in each of the following cases? (Increase or decrease) a. The distance between the charges increases. b. The size of the charge decreases.

Answers

In each of the following situations, the intensity of the interaction differs for charged particles.

a. The distance between the charges increases. (decreases)

b. The size of the charge decreases. (increases)

a. The strength of the interaction between charged particles decreases as the distance between them increases. This is because the force between charged particles follows an inverse square law, which means that the force decreases with the square of the distance between the charges. Therefore, as the distance between the charges increases, the force between them decreases and the strength of the interaction decreases.

b. The strength of the interaction between charged particles increases as the size of the charge decreases. This is because the force between charged particles is directly proportional to the magnitude of the charge. Therefore, as the size of the charge decreases the force between the charged particles decreases and the strength of the interaction decreases.

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consider+the+hydrate+of+m+g+c+o+3+⋅+5+h+2+o+.+what+is+the+mass+%+of+water+in+the+hydrate?

Answers

The mass percent of water in the hydrate MgCₒ₃⋅5H₂O is 55.9%.

To determine the mass percent of water in the hydrate, we need to compare the mass of water to the total mass of the hydrate and express it as a percentage. In the given formula, MgCₙO₃·5H₂O, the coefficient "5" indicates that there are 5 moles of water per mole of the compound MₓCₙO₃.

To calculate the mass percent of water, we consider the molar masses of water (H₂O) and the entire hydrate compound (MₓCₙO₃·5H₂O). Assuming the molar mass of water is 18.015 g/mol and the molar mass of the hydrate compound is M g/mol, the mass percent of water is:

(5 * 18.015 g/mol) / (M g/mol + 5 * 18.015 g/mol) * 100%

Simplifying the expression, we get:

(90.075 g) / (M + 90.075 g) * 100%

Therefore, the mass percent of water in the hydrate is 55.9%.

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the complete question is:

What is the mass % of water in the hydrate MgCₒ₃⋅5H₂O?

Part A
A certain compound is made up of one phosphorus (P) atom, three chlorine (Cl) atoms, and one oxygen (O) atom. What is the chemical formula of this compound?
Note: You will need the periodic table for this question.
Express your answer as a chemical formula.
ΑΣΦ
x xь a b X
11. X
C1, PO
Submit Hinks My Answers Give Up Review Part
Incorrect; Try Again; 3 attempts remaining
Check that you have the proper order for the element symbols in your answer.
Provide Feedback Continue

Answers

A certain compound is made up of one phosphorus (P) atom, three chlorine (Cl) atoms, and one oxygen (O) atom. The chemical formula of this compound is PCl3O.

Based on the given information, the compound consists of one phosphorus (P) atom, three chlorine (Cl) atoms, and one oxygen (O) atom. To determine the chemical formula, we need to consider the symbols and the number of atoms for each element.

The chemical formula for the compound is determined by using the symbols of the elements and indicating the number of atoms using subscripts.

In this case, the compound contains one phosphorus (P) atom, so the symbol for phosphorus is simply "P." It also contains three chlorine (Cl) atoms, so the symbol for chlorine is "Cl" and the subscript is 3. Lastly, there is one oxygen (O) atom, so the symbol for oxygen is "O."

Putting it all together, the chemical formula for the compound is "PCl3O."

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Which element is more reactive, Almuminum (Al) or Chlorine (Cl)?

Answers

Chlorine- it is looking to gain one valence electron so it can have a full shell

How many moon phases will we view in one week?
1
2
3
4

Answers

Answer:

4

Explanation:

The combustion of 1.00 mol of sucrose, C12H22O11, evolves 5.65 x 103 kJ of heat. A bomb calorimeter with a calorimeter constant of 1.23 kJ/oC contains 0.600 kg of water. How many grams of sucrose should be burned to raise the temperature of the calorimeter and its contents from 23.0oC to 50.0oC? (The calorimeter constant represents the heat capacity of the empty calorimeter.) The specific heat of water is 4.184 J/goC.

Answers

The mass in grams of sucrose that should be burned to raise the temperature of the calorimeter and its contents from 23.0°C to 50.0°C is 3753.5 grams.

What is the total heat absorbed by the calorimeter and its contents?

The total heat absorbed by the calorimeter and its contents is calculated as follows:

Heat absorbed by the water = m*c*Δt

where;

m is mass = 0.600 kg or 600 g

c is the specific heat of water = 4.184 J/g°C

Δt is the temperature change = (50 - 23)°C or 27°C

Heat absorbed by the water  = 600 g * 4.184 * 27

Heat absorbed by the water = 67.78 kJ

Heat absorbed by the calorimeter = c * Δt

where;

c is the heat capacity of the empty calorimeter = 1.23kJ/°C

Δt is the temperature change = (50 - 23)°C or 27°C

Heat absorbed by the calorimeter = 1.23 * 27

Heat absorbed by the calorimeter = 33.21 kJ

Total heat absorbed by the calorimeter and contents = 33.21 kJ +  67.78 kJ

Total heat absorbed by the calorimeter and contents = 100.99 kJ

1 mole of sucrose evolves 5.65 kJ of heat

Moles of sucrose required = 100.99/5.65

Moles of sucrose required = 17.874 moles

Mass of sucrose required = 17.874 moles * 210 g/mol

Mass of sucrose required = 3753.5 grams

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chemicals that change behavior or mood by directly affecting activity of the postsynaptic cell are referred to as t

Answers

Chemicals that change behavior or mood by directly affecting activity of the postsynaptic cell are referred to as neurotransmitter

In a chemical synapse the postsynaptic membrane is the membrane that receives a signal from the presynaptic cell and respond via depolarization or hyperpolarization and neurotransmitter play an important role in neural communication and they are chemical messengers that carry massages between nerve cell and other cell in your body and influencing everything from mood to involuntary movements and monoamine neurotransmitter such as dopamine are the most important neurotransmitter in the pathophysiology of mood disorders

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Consider the following reaction:
2NO2(g) → 2NO(g) + O2(g) rate = k [NO2]^2 where k = 0.25 M-1 s-1
A rigid 1.00 L reaction vessel initially contains only 0.50 moles NO2. How long would it take to form 0.20 moles of O2? Report answer in seconds to 2 significant figures

Answers

To determine the time it takes to form 0.20 moles of O2, we need to first find the initial concentration of NO2 and the final concentration of NO2 after the reaction.
Initial concentration of NO2 = (0.50 moles) / (1.00 L) = 0.50 M

Reporting the answer to 2 significant figures, the time it takes to form 0.20 moles of O2 is 1.6 s.

To solve this problem, we need to use the rate law equation and the given values to calculate the time required to form 0.20 moles of O2. The rate law equation for this reaction is rate = k [NO2]^2.
First, we need to calculate the initial concentration of NO2 in the reaction vessel. Since the vessel contains 1.00 L of gas and 0.50 moles of NO2, the initial concentration of NO2 is 0.50 M.
Next, we can use the rate law equation to calculate the rate of the reaction at the initial concentration of NO2:
rate = k [NO2]^2
rate = 0.25 M-1 s-1 x (0.50 M)^2
rate = 0.0625 M/s
To form 0.20 moles of O2, we need to calculate the time required at this rate:
0.20 moles O2 / 2 moles NO2 = 0.10 moles NO2 used
0.10 moles NO2 / (0.0625 M/s) = 1.6 s
Therefore, it would take 1.6 seconds (reported to 2 significant figures) to form 0.20 moles of O2 in the reaction vessel.
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a man with mass 60kg climbs up staircase having 30 step each of 10cm height in 10seconds.Calculate his power.​

Answers

Answer:

Power = Work done * time

P = (F * d) * t

P = (mg * d) * t

d = 1 step = 10 cm

30 steps = 300 cm

300 cm = 3m

P = (60*9.8 * 3) * 10

P = 17640 Watt

P = 1.764 Kilowatt

Ans: 60 watt

Explanation:

Solution

M=60kg, G=10

Distance=10*10/100

=1m

Time=10sec

Now,

W=M×G×H

=60×10×1

=600

P=w÷t

=600÷10

=60watt

Hence, the power of the man is 60watt

classify the following into physical and chemical changes a) drying of a shirt in the sun b) rising of hot air over a radiator c)rusting of iron d)mixing of sand with sugar e) digestion f) milk turns to curd g) dissolution of salt in water

Answers

Answer:

A. physical change

b. physical change

c. chemical change

d. chemical change

The pH of a solution can be determined using the formula pH=−log[H
+
], where H
+
is the hydrogen ion concentration in the solution. a. The hydrogen ion concentration of a particular brand of fruit juice is 0.0003 mol/L. Determine the pH of the solution, to the nearest tenth. ( 1 mark) b. A tomato has a pH of 3.0. Algebraically determine the hydrogen ion concentration of this solution. (2 marks)

Answers

(a)The pH of the fruit juice solution is approximately 3.5. (b) The hydrogen ion concentration of the tomato solution is 0.001 mol/L.

(b)The hydrogen ion concentration of the tomato solution is 0.001 mol/L.

(a). The hydrogen ion concentration of the fruit juice is 0.0003 mol/L. We can determine the pH of the solution using the formula pH = -log[H⁺].

pH = -log(0.0003)

pH ≈ -log(3 × 10⁻⁴)

Using a calculator, we can calculate the logarithm:

pH ≈ -(-3.5229) (rounded to the nearest tenth)

pH ≈ 3.5

Therefore, the pH of the fruit juice solution is approximately 3.5.

(b). A tomato has a pH of 3.0. We can determine the hydrogen ion concentration of this solution by rearranging the formula pH = -log[H⁺] to solve for [H⁺].

[H⁺] = 10(-pH)

[H⁺] = 10⁻³

[H⁺] = 0.001 mol/L

Therefore, the hydrogen ion concentration of the tomato solution is 0.001 mol/L.

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According to the
graph, what happens
to the concentration
of A over time?
Concentration (M)
Reaction: 2A A₂
Time (sec)
A. It decreases and then levels out.
B. It decreases consistently.
C. It increases and then levels out.
D. It increases consistently.

Answers

The concentration of A decreases and then levels out. Option A

How does concentration of the reactant change?

In many chemical reactions, a reactant is consumed as the reaction progresses, leading to a decrease in its concentration over time. The reactant molecules are transformed into products, and as the reaction proceeds, the concentration of the reactant gradually diminishes.

At equilibrium, the concentrations of both reactants and products remain relatively constant over time, although they can coexist.

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Long Life Floors is expected to pay an annual dividend of $4 a share and plans on increasing future dividends by 3 percent annually. The discount rate is 14 percent. What will the value of this stock be 5 years from today (in $ dollars)

Answers

The value of Long Life Floors stock 5 years from today will be approximately $27.67 per share.

To calculate the value of the stock, we can use the dividend discount model (DDM). The DDM takes into account the present value of expected future dividends. In this case, the expected future dividends can be calculated by increasing the current dividend of $4 by 3 percent annually for five years. So, the expected dividends in five years would be $4 * (1 + 0.03)^5 = $4.62 per share.

Using a discount rate of 14 percent, we can calculate the present value of the expected future dividends. The formula for calculating the present value is: Present Value = Future Value / (1 + Discount Rate)^n, where n is the number of periods (in this case, 5 years).

Using the formula, the present value of the expected future dividends is: $4.62 / (1 + 0.14)^5 = $2.376 per share.

Therefore, the value of Long Life Floors stock 5 years from today is approximately $2.376 per share.

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The Sierra Nevada, a mountain range in California, is made largely of intrusive rock that was formed underground.Which process explains why rock that formed underground is now aboveground in the Sierra Nevada?
A.It was pushed upward by natural geologic processes.
B.It was left above the surface as the land around it sank.
C.It was weathered by the pressure from surrounding rock.
D.It was moved to the surface by volcanic eruptions

Answers

Answer: To me i think it’s “A” because one of the geological processes is

hydrothermal process which I think is also cooling down

The density of lead is 11.3 g/cm. What is the mass of a cube of lead with 10.0 cm on each edge? Show work please.​

Answers

Mass of the lead cube :

\(  \boxed{ \boxed{11.3 \: \: kg}}\)

The density of lead is 11.3 g/cm. What is the mass of a cube of lead with 10.0 cm on each edge? Show

Determine the mass in grams of a gold sample which occupies a volume of 16.39 mL? Gold has a
density of 19.3 g/mL.
a. 0.118 g
b. 0.316 g
c. 0.849 g
d. 1.18 g
e. 316 g

Answers

Answer: 316 g

Explanation:

Gold is given as a volume but the answer is asked for as a mass. Use the density of gold to find the mass of gold in 16.39 mL.

16.39 mL x (19.3 g/mL) = 316.327 g = 316 g

Note that the mL cancel and you are left with grams.

1. Determine the percentage composition of each of the following compounds:

a. NaClO b. Al 2 (SO 3 ) 3 c. C 2 H 5 COOH d. BeCl 2

2. Determine the percentage by mass of water in the hydrate CuSO 4 5H 2 O

Answers

The percentage by mass of water in the hydrate \(CuSO^{4}.5H^{2}O\) is 47.6%.

The percentage composition of each of the following compounds are

1.a. NaClO:

The molar mass of NaClO =

22.99 g/mol + 35.45 g/mol + 15.99 g/mol = 74.43 g/mol

Percentage composition of Na =

(22.99 g/mol / 74.43 g/mol) *  100 \ percent \ = 30.9percent

Percentage composition of Cl =

(35.45 g/mol / 74.43 g/mol) *  100percent \ =  47.6percent

Percentage composition of O =

(15.99 g/mol / 74.43 g/mol) * 100percent \ =  21.5percent

Therefore, the percentage composition of NaClO is approximately:

30.9% Na, 47.6% Cl, and 21.5% O.

1.b. \(Al^{2}(SO^{3})^{3}\):

The molar mass of \(Al^{2}(SO^{3})^{3}\) = \(2 * (26.98 g/mol) + 3 * (32.06 g/mol + 3 * 16.00 g/mol) = 342.14 g/mol\)

Percentage composition of Al =

\((2 * 26.98 g/mol / 342.14 g/mol) * 100 \ = 3.99\)%

Percentage composition of S =

\((3 * 32.06 g/mol / 342.14 g/mol) * 100 \ = 8.99\)%

Percentage composition of O =

\((9 * 16.00 g/mol / 342.14 g/mol) * 100 \ = 10.47\)%

Therefore, the percentage composition of \(Al^{2}(SO^{3})^{3}\) is approximately:

3.99% Al, 8.99% S, and 10.47% O.

1.c. \(C^{2}H^{5}COOH\):

The molar mass of \(C^{2}H^{5}COOH\) = \(2 * (12.01 g/mol) + 6 * (1.01 g/mol) + 12.01 g/mol + 16.00 g/mol = 60.05 g/mol\)

Percentage composition of C =

\((2 * 12.01 g/mol / 60.05 g/mol) * 100 \ = 40.0\)%

Percentage composition of H =

\((6 * 1.01 g/mol / 60.05 g/mol) * 100\ \ = 10.1\)%

Percentage composition of O = \((2 * 16.00 g/mol + 12.01 g/mol / 60.05 g/mol) * 100 \ = 49.9\)%

Therefore, the percentage composition of \(C^{2}H^{5}COOH\) is approximately:

40.0% C, 10.1% H, and 49.9% O.

1.d. \(BeCl^2\):
The molar mass of \(BeCl^2\) = \(9.01 g/mol + 2 * 35.45 g/mol = 79.91 g/mol\)

Percentage composition of Be = \((9.01 g/mol / 79.91 g/mol) * 100 \ = 11.3\)%

Percentage composition of Cl =

\((2 * 35.45 g/mol / 79.91 g/mol)* 100 \ = 88.7\)%

Therefore, the percentage composition of \(BeCl^2\) is approximately:

11.3% Be and 88.7% Cl.

2. \(CuSO^{4}.5H^{2}O\):

Mass of CuSO4.5H2O = 8.40 g

Mass of anhydrous \(CuSO^{4}\) = mass of \(CuSO^{4}.5H^{2}O\) - mass of water

Mass of water = mass of \(CuSO^{4}.5H^{2}O\) - mass of anhydrous CuSO4

\(= 8.40 g - 4.40 g= 4.00 g\)

So, the mass of water in the hydrate is 4.00 g.

To determine the percentage by mass of water in the hydrate, we need to divide the mass of water by the mass of the entire compound (\(CuSO^{4}.5H^{2}O\)) and multiply by 100%:

Percentage by mass of water = (mass of water/mass of \(CuSO^{4}.5H^{2}O\)) x 100%

\(= (4.00 g/8.40 g) * 100= 47.6\)%

Therefore, the percentage by mass of water in the hydrate \(CuSO^{4}.5H^{2}O\) is 47.6%.

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pls watch episode 17 of Eureka Videos
https://youtu.be/aVIT3R9kx5s and answer the question

What does heat energy do to the molecules in a solid lattice-work pattern?

Answers

Answer:

The molecules are held closely together in a regular pattern called a lattice. If the ice is heated, the energy of the molecules increases. ... This is why liquid water is able to flow: the molecules have greater freedom to move than they had in the solid lattice.

Explanation:

I hope this helps and pls mark me brainliest :)

What happens to water at 1 atm pressure as the temperature is decreased from 10°C to –10°C?

Answers

Answer:

The water freezes and becomes solid ice

Answer:

See below

Explanation:

Water freezes at 0 C

  so the water will give up heat to become 0 C  water

     then it will give up more heat to become  0 C   ice

          then it will give up even more heat to become  -10 C ice

Write the common name of the α‑ketoacid resulting from the transamination of each amino acid.

Answers

The α‑ketoacid or the α‑ carboxylic acid are the organic compounds that are the characterize the presence of a keto group at the position of α- in carboxylic acid functional group.

The common name of the α‑ketoacid resulting from the transamination of each amino acid is given as follows :

1) alanine + α‑ketoglutarate --->  pyruvate

2) aspartate + α‑ketoglutarate ----> oxaloacetate

3) glutamate + α‑ketoglutarate  ----->  α‑ketoglutarate

4) phenylalanine  + α‑ketoglutarate ------>   phenylpyruvate

5) tyrosine  + α‑ketoglutarate  ----->  p - hydroxyphenyl pyruvate

The amino acids are the organic compounds which contain both the groups the amino acid and the carboxylic acid groups.

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How to calculate a common fraction f(x)=x^2. what is g(x)? Boyle's Law: Air trapped in a cylinder fitted with a piston occupies 136.5 mL at 1.05 atm pressure. What is the volume of air when the pressure is increased to 1.42 atm by applying force to the piston? Please help me please A refrigeration plant is rated at 20 ton capacity. How manypounds of air in one hour will it cool 90F to 70F at constantpressure? If a car can accelerate from rest to 45 mph in 6 seconds, what is the car'sacceleration in m/s2?a) 3.51b) 7.5c) 4.84d) 3.34 Discuss between the characteristics of the ECB and the FED What are the key steps that an organisation should undertake toestablish effective risk management strategies? Please list andbriefly explain each step. What's substitution for y=4x-1, 2x+y=5 Evaluate 2(-5)(-1)(-1) She charges an initial fee of $10 for eachrental and an hourly rate of $4. Which ofthe equations below shows the amounty that Rashida charges for a bike rentalthat lasts x hours?A. y=10+4xB. y=10+4xC. y=4+10xD.y=4+10x 1.Answer the question using complete sentences.Chart showing the Columbian Exchange Which THREE items on the list do you think were most beneficial to the Americas (New World)? Explain why. A box of chocolates costs 9.49. Rita bought 4 boxes. How much did she spend? The translation that moves a figure down 4, to the right 2 is1. (x + 4, y - 2)2. (x - 2, y + 4)3. (x + 2, y - 4)4. (x - 4, y + 2) Suppose you did a mark recapture study. In your first round of capturing you marked 52 animals. In your second round, you recaptured 63 animals, of which 32 had marks. What would be your estimate of the population size? (round your answer to the nearest whole number) Entered Answer Preview Result Messages Your answer isn't a formula that returns a vector (it looks like a formula that returns a point) Your answer isn't a vector (it looks like a real number) (2xyz_yZ3 , X2Z_XZ3 , X2y_3mz*) incorrect (z42) 40 40 incorrect Your answer isn't a number 0, 32, -24 0, 32,-24 incorrect (it looks like a list of numbers) At least one of the answers above is NOT correct. (1 point) Suppose thatf(x, y, z) = x2yz-xyz" is a function of three variables 1. Find the gradient of f(x, y, z) Answer: f(x, y, z)-(2xyz-yZA(3),x^22-xZA(3),x^2y-3xy: 2. Evaluate the gradient at the point P(2, -2,-2) Answer: Vf(2,-2,-2) = (0,0 3. Find the rate of change off(x, y, z) at P in the direction of the vector u = 0, Answer: Duf12.-2,--2) = -y 0,32,-24 Which of the following DNA sequences is one strand of a restriction enzyme recognition sequence? 5 GGATCC 3 5 AAACCC 3 5 GGGTTT 3 5 GGGGGG 3 SubmitHintsMy AnswersGive UpReview Part Part B X-Gal is included in the growth medium on which cells transformed with bacterial plasmids are grown. The reason X-Gal is included is to _______. X-Gal is included in the growth medium on which cells transformed with bacterial plasmids are grown. The reason X-Gal is included is to _______. eliminate bacteria that do not contain recombinant plasmid eliminate bacteria that do not contain plasmid DNA minimize the chances that a vector will re-circularize without incorporating a fragment of foreign DNA identify bacteria that contain a recombinant plasmid SubmitHintsMy AnswersGive UpReview Part Part C Within a six-base DNA recognition sequence, an enzyme that cuts between the 3rd and 4th bases from the 5 end will generate blunt ends. Within a six-base DNA recognition sequence, an enzyme that cuts between the 3rd and 4th bases from the 5 end will generate blunt ends. True False SubmitHintsMy AnswersGive UpReview Part the serengeti contains savanna grassland, hilly woodlands, seasonal wetlands, and rock outcroppings. what kind of diversity is this? Beth wants to paint the four walls of her rectangular bedroom. Her room is 10 feet wide, 13 feet long, and 8 feet high. She will not paint herrectangular door, which is 3 feet wide and 7 feet high.What is the total area of the walls that Beth needs to paint?O A. 347 square feetB. 368 square feetC. 578 square feetD. 1019 square feetE. 1040 square feet ____ drives both examples ofwater movement.A) WindB) GravityI can only pick one! Please help