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Direction: An ideal gas with molar heat capacity R (where R = 8.3 14 J/mol. K) is compressed adiabatically from 1 bar and 300 K to pressure P2 in a closed system. The final temperature after compression is 600 K and the mechanical efficiency of compression is 50%.

The work required for compression (in kJ/mol) is

 
3.74
6.24
7.48
12.47

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Shouldn't the answer be 7.48 kJ/mol? It's given that it is a closed system and adiabatically compression is done. If it was open system, the formula for work done is the one given in the solution. I hope what I told is right. If not, please correct me.