A one mole of an an ideal gas expands adiabatically at constant pressure such that its temperature T prop (1)/(sqrt(V)).

A one mole of an an ideal gas expands adiabatically at constant pressu

1.	A one mole of an an ideal gas expands adiabatically at constant pressure such that its temperature T prop (1)/(sqrt(V)).
Answer» 1.3 1.5 1.4 `2.0` Solution :In a adiabatic EXPANSION, `PV^(GAMMA)` = CONSTANT But `P = (RT)/(V) :. ((RT)/(V))V^(gamma)` = constant `TV^(gamma - 1)` = constant or `T prop V^(1- gamma)` As `T prop (1)/(sqrt(V)) :. 1 - gamma = - (1)/(2)` or `gamma = 1 + (1)/(2) = (3)/(2) = 1.5`