Question

Air enters the compressor of an ideal Brayton refrigeration cycle at 100 kPa, 300 K. The compressor pressure ratio is 3.75, and the temperature at the turbine inlet is 350 K. Determine the net work input, per unit mass of air flow, in kJ/kg.

Answer 1

To determine the net work input in the Brayton refrigeration cycle, use the equation for net work input and substitute the given values.

Step-by-step explanation:

The net work input, per unit mass of air flow, in the ideal Brayton refrigeration cycle can be determined using the following equation:

Net Work Input = Specific Heat Capacity at Constant Pressure * Mass Flow Rate * (Turbine Inlet Temperature - Compressor Inlet Temperature) / (1 - (Compression Ratio) ^ (Specific Heat Capacity Ratio))

Given the values: Compressor Inlet Pressure = 100 kPa, Compressor Inlet Temperature = 300 K, Turbine Inlet Temperature = 350 K, Compression Ratio = 3.75

By substituting these values into the equation, the net work input per unit mass of air flow can be calculated.