During an experiment an ideal gas is found to obey an additional law VP^(2)= constant. The gas is initially at temperature T and Volume V. Find the resulting temperature when it expands to volume 2V.

During an experiment an ideal gas is found to obey an additional law V

1.	During an experiment an ideal gas is found to obey an additional law VP^(2)= constant. The gas is initially at temperature T and Volume V. Find the resulting temperature when it expands to volume 2V.
Answer» Solution :`PV=RTrArr P=(RT)/(V)` `VP^(2)="constant"` `therefore""V((RT)/(V))^(2)="constant (or)"(R^(2)T^(2))/(V)="constant"` `(T^(2))/(V)="constant"` `therefore""(T.^(2))/(2V)=(T^(2))/(V) rArr T. = sqrt2T`