IIT JEE Advanced 2006 Paper 1

A monoatomic ideal gas undergoes a process in which the ratio of P to V at any instant is constant and equals 1.

P

V

= constat
PV−1 = constant
PVγ = constant
γ = -1
Monoatomic gas :
CV=

3

2

R
Molar heat capacity = CV+

R

1−γ

=

3

2

R+

R

1−(−1)

=

3

2

R+

R

2

=

4R

2