Consider one mole of a perfect gas in a cylinder of unit cross-section with a piston attached. A spring is attached to the piston and to the bottom of the cylinder. Initially the spring is unstretched and the gas is in equilibrium. A certain amount of heat Q is supplied to the gas causing an increase of volume from V0 to V1.
Consider one mole of a perfect gas in a cylinder of unit cross-section with a piston attached. A spring is attached to the piston and to the bottom of the cylinder. Initially the spring is unstretched and the gas is in equilibrium. A certain amount of heat Q is supplied to the gas causing an increase of volume from V0 to V1.

Exemplar Solutions Class 11 Physics Chapter 12 - 13

c) using the first law of thermodynamics, write down the relation between Q, Pa, V, V0, and k.

Answer:

c) The relation between Q, Pa, V, V0, and k is as follows:

dQ = dU + dW

where, dU = Cv (T – T0)

Where,

T represents the final temperature of the gas and T0 denotes the initial temperature of the gas

n = 1

Exemplar Solutions Physics Class 11 Chapter 12 Img 43

Work done by the gas is given as follows:

Exemplar Solutions Physics Class 11 Chapter 12 Img 44

dQ = dU + dW

Making use of the above equation, we get the following required relation:

Exemplar Solutions Physics Class 11 Chapter 12 Img 45