SO3]= 0.05 [SO2]= 0.125 [O2]= 0.02 Kc= 7.5x10^-2 WhatI was given initial concentrations for the following reaction:
$$\ce{2SO2 + O2 <=> 2SO3}\ \ \ K_c =7.5\times 10^{-2}\\ [\ce{SO3}]= 0.05\ \mathrm{M}\\ [\ce{SO2}]= 0.125\ \mathrm{M}\\ [\ce{O2}]= 0.02\ \mathrm{M}$$
What are the final concentrations?
First I calculated Q$Q$, and Q>Kcfound that $Q>K_c$ so the reverse reaction is favoured. I
I created an ICE table and wrote the expression for Kc$K_c$ to solve for X$x$, but the calculator says there is no solution.
Here is the ice table:
2SO2 + O2 -> 2SO3
I 0.125 0.02 0.05
C +2x +x -2x
E 0.125+2x 0.02 +x 0.05-2x
$$\begin{array}{|c|c|c|c|} \hline \ & [\ce{SO2}] & [\ce{O2}] & [\ce{SO3}]\\ \hline I & 0.125 & 0.02 & 0.05 \\ C & +2x & +x & -2x \\ E & 0.125+2x & 0.02+x & 0.05-2x\\ \hline \end{array}\\\\$$
7.5 x 10^-2 = ((0.05-2x)^2) / ((0.02+x)(0.125+2x)^2)$$7.5 \times 10^{-2} = \dfrac{(0.05-2x)^2}{(0.02+x)(0.125+2x)^2}$$