When 1 mol of `CO_(2)(g)` occupying volume `1^(@)C` AT `27^(@)C` is expanded under adiabatic condition, temperature falls to 150 K, Hence, final volume is

Options

A. 20L
B. 52
C. 80L
D. 40L

Answer

C

Explanation

In adiabatic expansion
`(T_(2))/(T_(2))=((V_(1))/(V_(2)))^(lambda-1)=(lambda=1.33` for a triatomic gas)
`(150)/(300)=((10)/(V_(2)))^(0.33)` or `((1)/(2))=((10)/(V_(2)))^(1//3)`
or `(10)/(V_(2))=(1)/(8):. V_(2)=80L`