A gas turbine power plant operating on a Brayton cycle takes in atmospheric air at 10°C. The temperature of the air rise

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A gas turbine power plant operating on a Brayton cycle takes in
atmospheric air at 10°C. The temperature of the air rises by 200°C
over the compressor, and by a further 722°C over the combustion
chamber. If the heating value of the fuel burned in the turbine is
43 MJ/kg, calculate the rate in kg/s at which fuel must be burned
for each MW of output from the power plant. Give your answer to
three decimal places. Take the specific heat capacity
cp of air to be 1.005 kJ/(kg K), and the ratio of
specific heats k to be 1.4. You may also assume that changes in the
properties of the air due to the addition and combustion of fuel
are negligible.