# The superheated water vapor is at 15 MPa and 350°C. The gas constant, the critical pressure, and the critical temperature of water are R = 0.4615 kPa·m3/kg·K, Tcr = 647.1 K, and Pcr = 22.06 MPa. Determine the specific volume of superheated water based on the ideal-gas equation. (You must provide an answer before moving to the next part)

1 answer

###### Question:

The superheated water vapor is at 15 MPa and 350°C. The gas constant, the critical pressure, and the critical temperature of water are R = 0.4615 kPa·m3/kg·K, Tcr = 647.1 K, and Pcr = 22.06 MPa. Determine the specific volume of superheated water based on the ideal-gas equation. (You must provide an answer before moving to the next part)

## Answers

Answer:0.01917 m^3/kg.Explanation:Given:P = 15 MPa= 1.5 × 10^4 kPaT = 350 °C= 350 + 273= 623 KMolar mass of water, m = (2 × 1) + 16 = 18 g/mol= 0.018 kg/molR = 0.4615 kPa·m3/kg·KUsing ideal gas equation, P × V = n × R × TBut n = mass/molar massV = (R × T)/PV/M = (R × T)/P × m= (0.4615 × 623)/1.5 × 10^4 = 0.01917 m^3/kg.

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