The temperature of n moles of an ideal gas is increased from T to 4T through a process for which pressure P = aT^(-1) where a is a constant. Then, the work done by the gas is

The temperature of n moles of an ideal gas is increased from T to 4T t

1.	The temperature of n moles of an ideal gas is increased from T to 4T through a process for which pressure P = aT^(-1) where a is a constant. Then, the work done by the gas is
Answer» nRT 4nRT 2nRT 6nRT Solution :According to ideal gas equation, `PV = nRT` or `V = (nRT)/(P) :. P = (a)/(T)` (GIVEN) …(i) `:. V = (nRT^(2))/(a)` or `dV = (2nRT)/(a) DT` …(ii) WORK DONE by the gas, dW = PdW or `W = underset(T)overset(4T)int (a)/(T) (2nRT)/(a) dT = [2nRT]_(T)^(4T) = 6nRT` (Using (i) and (ii))