What Is the Correct Calculation for Kp at 900K in the Water Gas Shift Reaction?

In summary, to calculate the Kp at 900K for the water gas shift reaction, you need to use the equation Kp = Kc(RT)^Δn, where Kc is the equilibrium constant at standard conditions, R is the gas constant, T is the temperature in Kelvin, and Δn is the change in moles of gas in the balanced chemical equation. The correct answer is approximately 0.0054.
  • #1
Hockeystar
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Homework Statement


The water gas shift reaction used commercially to produce H2

deltaG std condtions = -28.6 KJ\mol

Calculate the Kp at 900K


Homework Equations



G0=-RTln(k)



The Attempt at a Solution



-28.6x1000/(-8.314x900)= ln(k)
k=e3.822
k= 45.7

However this is not the correct answer. COuld someone please help me out.
 
Last edited:
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  • #2


Hello,

To calculate the Kp at 900K, you need to use the following equation:

Kp = Kc(RT)^Δn

Where Kc is the equilibrium constant at standard conditions, R is the gas constant (8.314 J/mol*K), T is the temperature in Kelvin (900K in this case), and Δn is the change in moles of gas in the balanced chemical equation (in this case, -1).

So, the calculation would be:

Kp = 45.7(8.314*900)^(-1) = 0.0054

The correct answer is approximately 0.0054. I hope this helps! Let me know if you have any questions.
 

1. What is free energy and how is it related to equilibrium?

Free energy is a measure of the energy available to do work in a system. It is directly related to equilibrium, as a system at equilibrium has zero free energy because there is no potential for change or work to be done.

2. How is free energy different from entropy?

Free energy and entropy are both measures of a system's energy, but they represent different aspects. Free energy takes into account both the system's internal energy and the energy required to do work, while entropy is a measure of the system's disorder.

3. How can free energy be calculated?

Free energy can be calculated using the equation ΔG = ΔH - TΔS, where ΔG is the change in free energy, ΔH is the change in enthalpy, T is the temperature in Kelvin, and ΔS is the change in entropy.

4. What is the relationship between free energy and spontaneity?

A negative value for free energy (ΔG < 0) indicates that a reaction is spontaneous, meaning it will occur without the addition of external energy. A positive value for free energy (ΔG > 0) indicates that a reaction is non-spontaneous and will only occur with the input of external energy.

5. Can free energy be used to predict the direction of a reaction?

Yes, the sign of free energy (positive or negative) can be used to predict the direction of a reaction. A negative value for free energy indicates that the reaction will proceed in the forward direction, while a positive value indicates that the reaction will proceed in the reverse direction.

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