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Question: The compressibility factor for a real gas is expressed by, z = 1 + \(\frac { \mathrm { BP } } { \ma...

The compressibility factor for a real gas is expressed by, z = 1 + BPRT\frac { \mathrm { BP } } { \mathrm { RT } } The value of B at 500 K and 600 bar is 0.0169 L/mol. Therefore the molar volume of the gas at 500 K and 600 bar is–

A

0.1 L

B

9 × 10–5 L

C

8.62 × 10–2 L/mol

D

1.65 L

Answer

8.62 × 10–2 L/mol

Explanation

Solution

Z = 1 + 0.0169×6000.083×500\frac { 0.0169 \times 600 } { 0.083 \times 500 } = 1.244

\ Vm = 1.244×0.083×500600\frac { 1.244 \times 0.083 \times 500 } { 600 }or

Vm = 8.6 × 10–2 L