[tanner.e]

Ke = (14.00 + x) / (4.00 - 2x)^2 = 1.75

I understand how to get all this information,  but then I have to find x. Which x = 0.57

Im just confused on how to get x.

Thank you.

quadratic formula, cross multiplication? Any explanations would be very helpful.

[Matias Ekstrand]

You can apply many methods to solve a quadratic equation, so you may want to rearrange your equation to this form:

[tanner.e]

A_(g)(g)    2B_(g) +C_(g)

When 1.00 mol of A is placed in a 4.00 L container at temperature t, the concentration of C at equilibrium is 0.050 mol/L. What is the equilibrium constant for the reaction at temperature t?

I've been able to solve questions like this when I've been given K_e or the concentrations. Now I'm stuck because I'm given 1 mol and the amount of the container.  How do I find the initial concentration of A and B.  I've been using the I.C.E method so once from there I can calculate this problem its just getting to that point I'm confused.

I've been looking online also and I've found this info.
 C = 0.050 mol/L x 4.00L = 0.2L /4.00L = 0.05 (+x)     and this I understand its from there finding B and A?
 
Next I would guess to solve B. B being two parts of A does this mean I would just multiple 0.05 by 2. which then I would get 0.10(+2x)
So really I guess I just need help solving for A.

Thank you

[Matias Ekstrand]

A_(g)(g)    2B_(g) +C_(g)

When 1.00 mol of A is placed in a 4.00 L container at temperature t, the concentration of C at equilibrium is 0.050 mol/L. What is the equilibrium constant for the reaction at temperature t?

I've been able to solve questions like this when I've been given K_e or the concentrations. Now I'm stuck because I'm given 1 mol and the amount of the container.  How do I find the initial concentration of A and B.  I've been using the I.C.E method so once from there I can calculate this problem its just getting to that point I'm confused.

You have an amount of substance and a volume. This means you can calculate the initial concentration of A. During the reaction you describe, the concentration of A will drop with x. The concentration of B will increase with 2x and the concentration of C will increase with x.

You may calculate x by comparing the initial concentration of C and the equilibrium concentration of C. Read the question once more and you will see that the initial concentration of B and C is zero. To calculate K-values, you need to know equilibrium concentrations, not initial concentrations.