During an experiment, an ideal gas is found to obey an additional law `VP^2=constant,` The gas is initially at a temperature T, and volume V. When it expands to a volume `2V,` the temperature becomes…….

Explanation

`PV=RT` (ideal gas equation)
`implies P=(RT)/(V)` (i)
Given that
`VP^(2)=`constant (ii)
From Eqs. (i) and (ii),
`Vxx(R^(2)T^(2))/(V^(2))=`constant
`(T^(2))/(V)` =Constant
`(T_(1)^(2))/(V_(1))=(T_(2)^(2))/(V_(2))`
`implies T_(2)=T_(1)sqrt((V_(2))/(V_(1)))=Tsqrt((2V)/(V))=sqrt(2)T`.