Why is the turbocharger inlet temperature higher than the cylinder exhaust temperature for a 2-stroke marine diesel engine?

         The conservation of energy formula of PV = nRT is the best way to explain this; the pressure at the turbo charger inlet is greater than the pressure at the exhaust manifold; this increase in pressure is a result of the resistance in spinning the turbo. An increase in pressure means the temperature will increase if the other variables remain constant.