A mixture of one part by volume of vapourised benzene to 50 parts by volume of air is ignited in a cylinder and adiabatic combustion ensues at constant volume. If the initial pressure and temperature of the mixture are 10 bar and \(500 \mathrm{~K}\) respectively, calculate the maximum pressure and temperature after combustion (see Chapter 10, P10.1). [51.67 bar; \(2554 \mathrm{~K}\) ]