Chemistry

Problem

The gas-phase decomposition of phosphorus pentachloride is represented by

\mathrm{PCl_5(g)} \rightleftharpoons \mathrm{PCl_3(g)} + \mathrm{Cl_2(g)}

A 3.00\,L reaction vessel at 425\,K initially contains 1.50\,mol of

\mathrm{PCl_5}

and no products. When equilibrium is reached, 1.10\,mol of

\mathrm{PCl_5}

remain. Determine the numerical value of

K_c

at 425\,K.