The internal energy of the air, in a room of volume V , at temperature T and with outside pressure P increasing linearly with time, varies as

Step-by-step solution

As per first law of Thermodynamics, d Q = d U + d W   here, d W = 0   sin c e   V = constant , ∴       d Q = d U = n C v d T ⇒ d U   α   d T     . . . 1 Now p V = R T ⇒ d T = V R d P ⇒ d T   α   d P           . . . 2 from 1   &   2 , d U   α   d P