GATE Mechanical Engineering (ME) 2015 Shift 1 Solved Paper

A well insulated rigid container of volume 1 m³ contains 1.0 kg of an ideal gas [C_p = 1000 J/(kg.K) and C_v = 800 J/(kg.K)] at a pressure of ${10}^5$Pa. A stirrer is rotated at constant rps in the container for 1000 rotations and the applied torque is 100 N-m. The final temperature of the gas (in K) is _________.