One mole of an ideal gas is kept enclosed under a light piston (area = 1 0 − 2 m 2 ) connected by a compressed spring (spring constant 100 N/m). The volume of gas is 0.83 m 3 and its temperature is 10

Question

One mole of an ideal gas is kept enclosed under a light piston (area = 1 0 − 2 m 2 ) connected by a compressed spring (spring constant 100 N/m). The volume of gas is 0.83 m 3 and its temperature is 100 K. The gas is heated so that it compresses the spring further by 0.1 m. The work done by the gas in the process is (Take R = 8.3 J/mole and suppose there is no atmosphere):

TestHub · Accepted Answer

Initial pressure P = V n RT ​ = 0.83 8.3 × 100 ​ = 1 0 3 N / m 2 ; spring force P A = 10 N , so initial compression x 1 ​ = 100 10 ​ = 0.1 m . Further compression by 0.1 m: W = 2 1 ​ k ( x 2 2 ​ − x 1 2 ​ ) = 2 1 ​ × 100 × ( 0. 2 2 − 0. 1 2 ) = 1.5 J .

Physics - Heat & Thermo Question with Solution | TestHub

Options:

Doubts & Discussion