(Solved): A sample of \( \mathrm{SO}_{3} \) decomposes according to the following equation: \[ 2 \mathrm{SO}_ ...

A sample of \( \mathrm{SO}_{3} \) decomposes according to the following equation: \[ 2 \mathrm{SO}_{3}(g) \rightleftharpoons 2 \mathrm{SO}_{2}(g)+1 \mathrm{O}_{2}(g) \] An equilibrium mixture in a \( \mathrm{S}-\mathrm{L} \) vessel at \( 532^{\circ} \mathrm{C} \), contains \( 0.0513 \mathrm{~g} \) of \( \mathrm{SO}_{3}, 0.0163 \mathrm{~g} \) of \( \mathrm{SO}_{2} \), and \( 0.0216 \mathrm{~g} \) of \( \mathrm{O}_{2} \). (a) Calculate \( \mathrm{K}_{\mathrm{p}} \) for this reaction at this temperature. \[ K_{p}= \] (b) What is the total pressure exerted by the equilibrium mixture of gases? \[ P_{\text {total }}=\quad \text { atm. } \]