Question

Calculate power produced by CO2 gas pressure driven 100% efficient turboexpander. Inlet pressure is 48 megapascals and inlet temperature is 425 kelvin and inlet flow rate is 3886 kilograms per second and inlet enthalpy is 4900 kilojoules per kilogram. Outlet pressure is 10 megapascals and the outlet temperature is 295 kelvin and the outlet flow rate is 3886 kilograms per second and the outlet enthalpy is 15 kilojoules per kilogram.

Answer 1

The power produced by a CO2 gas pressure-driven 100% efficient turboexpander with given inlet and outlet enthalpies and flow rate is 18,979,510 kW.

Step-by-step explanation:

To calculate the power produced by a CO2 gas pressure-driven 100% efficient turboexpander, we use the specific enthalpy change of the gas and the flow rate. The power can be calculated using the formula:

Power = ΔH × flow rate

Where ΔH is the change in specific enthalpy from inlet to outlet, and flow rate is the mass flow rate of the gas passing through the turboexpander.

Given that the inlet enthalpy is 4900 kJ/kg and the outlet enthalpy is 15 kJ/kg, the change in enthalpy (ΔH) is:

ΔH = inlet enthalpy - outlet enthalpy
ΔH = 4900 kJ/kg - 15 kJ/kg
ΔH = 4885 kJ/kg

With the flow rate of 3886 kg/s, we can calculate the power:

Power = ΔH × flow rate
Power = 4885 kJ/kg × 3886 kg/s
Power = 18,979,510 kJ/s
Since 1 kJ/s is equivalent to 1 kW, the power produced is:

Power = 18,979,510 kW