An ideal gas is expanding such that p T^2= constant. The coefficient of volume expansion of the gas is

Step-by-step solution

p T^2= constant array ll & ( n R T V ) T^2= constant or T^3 V⁻¹= constant array Differentiating the equation, we get 3 T^2 V d T- T^3 V^2 d V=0 or 3 d T= T V d V From the equation, d V=V d T = coefficient of volume expansion of gas = d V V d T From Eq. (i) = d V V d T = 3 T correct answer is (c).