Products of combustion enter a gas turbine with a stagnation pressure of 1.0 MPa and a stagnation temperature of 820 °C, and they expand to a stagnation pressure of 100 kPa. Taking k=1.33 and R=0.287 kJ/kgK for the products of combustion, and assuming the gas is ideal gas and the expansion process to be isentropic, determine the power output of the turbine per unit mass flow. In this problem, stagnation properties are not conserved because of the work output but the total energy is conserved