Chemistry - Chemical Equilibrium Question with Solution | TestHub
\begin{gathered}{}\text{Under}\text{ }\text{what}\text{ }\text{pressure}\text{ }\text{must}\text{ }\text{an}\text{ }\text{equimolar}\text{ }\text{mixture}\text{ }\text{of}\text{ }\text{Cl}_{\text{2}}\text{ }\text{and}\text{ }\text{PCl}_{\text{3}}\text{ }\text{be}\text{ }\text{placed}\text{ }\text{at}\text{ }\\{}\text{250}{}^\circ\text{C}\text{ }\text{in}\text{ }\text{order}\text{ }\text{to}\text{ }\text{obtain}\text{ }\text{75%}\text{ }\text{conversion}\text{ }\text{of}\text{ }\text{PCl}_{\text{3}}\text{ }\text{into}\text{ }\text{PCl}_{\text{5}}\text{?}\text{ }\text{Given:}\text{ }\text{PCl}_{\text{3}}\text{(g)}\text{ }\text{+}\text{ }\text{Cl}_{\text{2}}\\{}\text{(g)}\text{ }\rightleftharpoons\text{ }\text{PCl}_{\text{5}}\text{(g);}\text{ }\text{K}_{\text{p}}\text{ }\text{=}\text{ }\text{1.25}\text{ }\text{atm}^{\text{-1}}\end{gathered}
Options:
Answer:
Solution:
\begin{gathered}{}\text{Take}\text{ }\text{1}\text{ }\text{mol}\text{ }\text{each}\text{ }\text{of}\text{ }\text{PCl}_{\text{3}}\text{ }\text{and}\text{ }\text{Cl}_{\text{2}}\text{;}\text{ }\text{75%}\text{ }\text{conversion}\text{ }\text{gives}\text{ }\text{0.75}\text{ }\text{mol}\text{ }\text{PCl}_{\text{5}}\text{ }\text{and}\text{ }\text{0.25}\text{ }\\{}\text{mol}\text{ }\text{of}\text{ }\text{each}\text{ }\text{reactant}\text{ }\text{Total}\text{ }\text{moles}\text{ }\text{=}\text{ }\text{0.25}\text{ }\text{+}\text{ }\text{0.25}\text{ }\text{+}\text{ }\text{0.75}\text{ }\text{=}\text{ }\text{1.25}\\{}\text{Mole}\text{ }\text{fractions:}\text{ }\text{PCl}_{\text{5}}\text{ }\text{=}\text{ }\text{0.6,}\text{ }\text{PCl}_{\text{3}}\text{ }\text{=}\text{ }\text{Cl}_{\text{2}}\text{ }\text{=}\text{ }\text{0.2}\\{}\text{K}_{\text{p}}\text{ }\text{=}\text{ }\text{0.6P/((0.2P)(0.2P))}\text{ }\text{=}\text{ }\text{15/P}\text{ }\text{=}\text{ }\text{1.25}\\{}\text{P}\text{ }\text{=}\text{ }\text{12}\text{ }\text{atm}\\{}\text{This}\text{ }\text{is}\text{ }\text{option}\text{ }\text{(a).}\end{gathered}
