A heavy duty diesel use turbocharger to improve its power density. The compressor pressurises the intake air by a factor of 4 (consider the ambient air pressure as 1 bar, temperature as 300K) which is then cooled by an intercooler to 50C at constant pressure. The isentropic efficiency of the compressor is 80%. The turbine is driven by the exhaust gas at 500C. The turbine has an isentropic efficiency of 0.75. The turbocharger has a mechanical efficiency of 0.8. The engine is working at the A/F of 17.5. Draw a schematic diagram of the engine layout including the turbocharger, and calculate the exhaust gas pressure at the inlet of turbine. (heat capacity ratio for intake is 1.4, for exhaust is 1.3. cpi=1003J/kgK, cpe=1090J/kgK)