1.

The initial pressure and volume of a gas enclosed in a cylinder are respectively 1 × 105 N/m2 and 5 × 10-3 m3 . If the work done in compressing the gas at constant pressure is 100 J. Find the final volume of the gas.

Answer»

Data : P = 1 × 105 N/m2 , V = 5 × 10-3 m3 ,

W= -100 J

W = P(Vf – Vi) ∴ Vf – Vi\(\frac{W}{P}\)

∴ Vf = Vi\(\frac{W}{P}\) = 5 x 10-3\(\frac{(-100)}{(1\times10^5)}\)

= 5 × 10-3 -1 × 10-3 = 4 × 10-3 m3

This is the final volume of the gas.



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