Methane stored in a tank at 8 MPa and 300 K is used as a fuel for a laboratory-scale gas-turbine combustor. The methane is throttled as it passes through a pressure regulator. The regulated pressure is 120 kPa. Determine the temperature of the methane at the exit of the pressure regulator. Assume the process is adiabatic and neglects any kinetic energy changes.

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CH4 8 MPa 300 K P₂ = 120 kPa T₂ = ?