We have the reaction A$($g$)<-->$B$($g$)$ with an equilibrium constant of $9\mathrm{.}966.$ The feed consists of a mixture of A$($g$)$ with $47\%$ inerts. The feed enters a constant volume BATCH reactor operating at $2$ atm and $311$ 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: $0\mathrm{.}999$