We have the reaction A$($g$)<-->$B$($g$)$ with an equilibrium constant of $3\mathrm{.}582.$ The feed consists of a mixture of A$($g$)$ with $10\%$ inerts. The feed enters a VARIABLE volume BATCH reactor operating at $3$ atm and $321$ oK$.$ It is known that pressure and temperature changes are negligible. Calculate the equilibrium conversion value.

Write the balance conversion value to three decimal places using decimal POINT. Example: $0\mathrm{.}999$