Chapter 12, Problem 65QAP

Isopropyl alcohol is the main ingredient in rubbing alcohol. It can decompose into acetone (the main ingredient in nail polish remover) and hydrogen gas according to the following reaction:

${\text{C}}_{\text{3}}{\text{H}}_{\text{7}}\text{OH}\left(g\right)\rightleftharpoons {\text{C}}_{\text{2}}{\text{H}}_{\text{6}}\text{CO}\left(g\right)+{\text{H}}_{\text{2}}\left(g\right)$At 180°C, the equilibrium constant for the decomposition is 0.45. If 20.0 mL $\left(d=0.785\text{g}/\text{mL}\right)$ of isopropyl alcohol is placed in a 5.00-L vessel and heated to 180°C, what percent- age remains undissociated at equilibrium?