Question

In a certain thermodynamical process, the pressure of a gas depends on its volume as kV³. The work done when the temperature changes from 100°C to 300°C will be ______ nR, where n denotes number of moles of a gas.

Options

• 20

• 40

• 50

• 10

Answer 1

In a certain thermodynamical process, the pressure of a gas depends on its volume as kV³. The work done when the temperature changes from 100°C to 300°C will be 50 nR, where n denotes number of moles of a gas.

Explanation:

Given: P =  KV³

⇒ PV^-3 = Constant(K)

∴ ϒ = -3.

Work done, W = `(nR(T_1 - T_2))/(ϒ - 1) = (nR(100 - 300))/(-3 - 1)`

or, W = `(200nR)/4` = 50 nR