A single cylinder four stroke Diesel engine having bore 18 cm and stroke 32 cm develops torque 390 Nm and indicated mean effective pressure (imep) 700 kPa at 280 rpm. The following observations were made during experiment; fuel consumption 3 kg/hr, cooling water flow 4 kg/min, increase in cooling water temperature 200C and barometric pressure 1 bar. If the calorific value of the fuel is 42 MJ/kg, find out IHP, indicated thermal efficiency ($\eta _{th}$), mechanical efficiency $\eta _{m}$, volumetric efficiency ($\eta _{vol}$) and heat lost in cooling water.