An ideal gas is found to obey an additional laq `P^(2) V =` constant. The gas is initially at temperature volume `V`. When it expands to a volume `2V`, the temperature becomes-

Options

A. T
B. `sqrt(2 )T`
C. 2T
D. `2sqrt(2)T`

Answer

B

Explanation

`P^2V = constant`
`V_1=V,T_1=T`
`V_2 = 2V,T_2 =?`
`PV = nRT`
`P =((T)/(V))^(nR)`
`(T^2)/(T^2) V = constant`
`rArr T_(1)^2/T_(2)^2 = V_(1)/V_(2)`
`T_(1)/T_(2) =sqrt(V_1/V_2)`