Using the Peng-Robinson equation of state, calculate the work needed in (kJ/mol) for a steady-state flow reversible adiabatic compression of gaseous FREON-12, a refrigerant, from a pressure of 0.75 MPa and temperature of 325 K to a pressure of 2 MPa.

Respuesta :

Answer:

3.059 KJ/mole

Explanation:

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The work needed in KJ/mol for a steady-state flow reversible adiabatic compression is :  2.229KJ

Given data :

Initial pressure ( P1 ) = 0.75 MPa

Final pressure ( P2 ) = 2 MPa  

Temperature = 325 K

For FREON-12 refrigerant  n = 1.4

Determine the work done in KJ/mol

Applying Peng-Robinson equation of state

[tex]W = \frac{RT}{n-1} [(\frac{p2}{p1})^{(\frac{n-1}{n} )} -1 ][/tex]

W = ( 8.314 * 325 ) / 0.4 * [ ( 2/0.75 )^0.29 - 1 ]

   = 6755.125 * 0.33

   = 2229.19 J  ≈ 2.229 KJ

Hence we can conclude that The work needed in KJ/mol for a steady-state flow reversible adiabatic compression is :  2.229KJ

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