Three samples of the same gas 'x','y' and 'z', for which the ratio of specific heats in `gamma=3//2`, have initially the same volume. The volumes of each sample is doubled, by adiabatic process in the case of 'x' by isobaric process in the case of 'y' and by isothermal process in the case of 'z'. If the initial pressures of the samples 'x','y' and 'z' are in the ratio `2sqrt(2):1:2`, then the ratio of theri final pressures is

Options

A. `2:1:1`
B. `1:1:1`
C. `1:2:1`
D. `1:1:2`

Answer

B

Explanation

`T_(1)V_(1)^(gamma-1)=T_(2)V_(2)^(gamma-1)`