I don't know how to do this question, I understand we have to use ICE but I keep getting the wrong answer when I solve for x, it's just not working for me.
Consider the following reaction:
A(g) -> 2B (g)
Find the equilibrium partial pressures of A and B for each of the following different values of Kp. Assume that the initial partial pressure of B in each case is 1.0 atm and that the initial partial pressure of A is 0.0 atm . Make any appropriate simplifying assumptions.
1. Kp = 1.6
2. Kp = 1.4*10^-4
3. Kp = 1.6*10^5
Why don't you show me what you've done for #1 and I can see what the problem is.
I think I realized what my mistake was, I assumed the reaction would go to the right, doesn't it go to the left?
Yes, it must go to left when you have started with zero A and have only B present.
Got it! Thank you :)
To solve this question, you need to use the ICE (Initial, Change, Equilibrium) method and the equilibrium expression to find the equilibrium partial pressures of A and B for each value of Kp.
Here are the steps you can follow:
1. Write the balanced equation for the reaction:
A(g) -> 2B(g)
2. Write the equilibrium expression using the partial pressures of A and B:
Kp = (P_B)^2 / P_A
3. Set up a table to organize the information:
Initial | Change | Equilibrium
------------------------------
A | |
B | |
4. Fill in the initial values. In this case, the initial partial pressure of B is 1.0 atm, and the initial partial pressure of A is 0.0 atm.
5. Determine the change in partial pressure for each species. Since the stoichiometric coefficient of A is 1, while B is 2, the change in partial pressure for A will be -x, and for B, it will be +2x.
6. Express the equilibrium partial pressures in terms of x. The equilibrium partial pressure of A will be x, and the equilibrium partial pressure of B will be 1.0 + 2x.
7. Substitute the equilibrium values into the equilibrium expression and solve for x.
Let's calculate the equilibrium partial pressures of A and B for each value of Kp:
1. For Kp = 1.6:
Using the equilibrium expression: 1.6 = (1.0 + 2x)^2 / x^2
Solve this equation to find the value of x, then calculate the equilibrium partial pressures of A and B using the derived value of x.
2. For Kp = 1.4 * 10^-4:
Using the equilibrium expression: 1.4 * 10^-4 = (1.0 + 2x)^2 / x^2
Solve this equation to find the value of x, then calculate the equilibrium partial pressures of A and B using the derived value of x.
3. For Kp = 1.6 * 10^5:
Using the equilibrium expression: 1.6 * 10^5 = (1.0 + 2x)^2 / x^2
Solve this equation to find the value of x, then calculate the equilibrium partial pressures of A and B using the derived value of x.
By following these steps and solving the equilibrium expression equation for each value of Kp, you should be able to find the equilibrium partial pressures of A and B. Make sure to double-check your calculations to avoid any errors.