CGPET 2018 Solved Paper

For diatomic gas, f=5
Change in total internal energy of an diatomic ideal gas,
ΔU=

1

2

fRΔT=

5

2

RΔT ........(i)
Change in kinetic energy of box containing gas of molar mass M ,
ΔE=

1

2

Mv2
According to question,
ΔE=ΔU
∴

1

2

Mv2=

5

2

RΔT
Hence, resultant change in temperature, ΔT=

Mv2

5R