For an ideal gas the instantaneous change in pressure 'p' with volume 'v' is given by the equation \(\frac{dp}{dv}=-ap.\) If p = p0 at v = 0 is the given boundary condition, then the maximum temperature one mole of gas can attain is :
(Here R is the gas constant)
(1) \(\frac{P_0}{aeR}\)
(2) \(\frac{aP_0}{eR}\)
(3) infinity
(4) 0ºC