A gas has a volume 1000 c m 3 at 80 cm of mercury pressure. It is expanded adiabatically to 1190 c m 3 . The pressure falls to 60 cm of Hg. Calculate the work done by the gas.

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TestHub · Accepted Answer

γ = ln ( 1000 1190 ​ ) ln ( 60 80 ​ ) ​ = 1.654 . W = γ − 1 P 1 ​ V 1 ​ − P 2 ​ V 2 ​ ​ . P 1 ​ V 1 ​ = 80 × 1333 × 1 0 − 3 = 106.6 J and P 2 ​ V 2 ​ = 60 × 1333 × 1.19 × 1 0 − 3 = 95.2 J with 1 cm Hg = 1333 Pa. W = 0.654 106.6 − 95.2 ​ = 17.5 J.

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