A conducting container containing an ideal gas (He) is kept in ice-water mixture for long time. Now the piston is suddenly moved up so that its volume becomes eight times. Final temperature of gas will be:

Options

A. 273 K
B. `(273)/(2)K`
C. `(273)/(4)K`
D. `(273)/(32)K`

Answer

C

Explanation

The process is closest to adiabatic process
`T_(1)V_(1)^(gamma-1)=T_(2)V_(2)^(gamma-1)`
`=(T_(2))/(T_(1))=((V_(1))/(V_(2)))^(gamma-1)=(1/8)^(5/3-1)rArr T_(2)=273/4 K`