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A real engine cycle is assumed to comprise the following events: poly tropic compression with n = 1.3 over a volume ratio of 9.5 to 1 from an initial state of 100 kPa, and 300 K to a state 2; constant volume adiabatic combustion of C_{8}H_{18} at an-air/fuel ratio of 16 to 1 by mass giving a state 3; polytropic expansion with n = 1.6 to the original volume at state 4. A constant volume pressure drop is assumed to complete the cycle. For C_{8}H_{18} , [ AH]0 is - 5 116 180 kJ/kmol, with octane in the vapour state. Calculate the pressure and temperature at states 2, 3 and 4, and find the net indicated work from the poly tropic work of compression and expansion. Hence find the IMEP and the indicated thermal efficiency. For your closed system, take one mole of fuel and 16 times the mass of air. Use the following values of cv: Reactants, C_{8}H_{18} = 2.330, 0_{2} = 0.696, N_{2} = 0.752; Products, C0_{2} = 1.128, H_{2}0 = 2.090, 0_{2} = 0.874, N_{2} = 0.835, all in kJ/kg K units.

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