Question

An ideal gas whose adiabatic exponent equals gamma is expanded so that the amount of heat transferred to the gas is equal to the decrease of its internal energy. Find : (a) the molar heat capacity of the gas in the process , The equation of the process in the variables t, V , ( c) the work performed by one mole of the gas when its volume increases eta times if the initial temperature of the gas is T_0.

Answer 1

We know that for an adiabatic process,work-done is give as

PV

γ

=C

now from ideal gas equation we know that PV=MRT----- ( i.e M,R=constant)

so P=

V

T

we know that

C

V

C

P

=γ

so TV

2

γ−1

=C