One moles each of four ideal gases are kept as follows. I. 5 L of gas ( A ) at 2 atm pressure II. 2 . 5 L of gas ( B ) at 2 atm pressure III. 1 . 25 L of gas ( C ) at 2 atm pressure IV. 2 . 5 L of gas ( D ) at 2 . 5 atm pressure Which of the above gases is kept at highest temperature.

Step-by-step solution

∵ For ideals gas pV = nRT or T = pV nR ∵   n = 1 = constant R = 0 . 083 = constant ∴   T ∝ PV Thus, The gas that shows highest product of p × V , has highest temperature. for (A) p × V = 2 × 5 = 10   atm   L (B) p × V = 2 × 2 . 5 = 5   atmL (C) p × V = 2 × 1 . 25 = 2 . 5   atmL   (D) p × V = 2 . 5 × 2 . 5 = 6 . 25   atm   L Hence gas ( A ) show highest temperature.