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JEE Main & Advanced Physics Thermodynamical Processes Question Bank Self Evaluation Test - Thermodynamics

  • question_answer
    Two cylinders A and B fitted with pistons contain equal amounts of an ideal diatomic gas at 300 K. The piston of A is free to move while that of B is held fixed. The same amount of heat is given to the gas in each cylinder. If the rise in temperature of the gas in A is 30 K, then the rise in temperature of the gas in B is       

    A) 30 K     

    B)                    18 K

    C) 50 K       

    D)                    42 K

    Correct Answer: D

    Solution :

    [d]\[Q={{\text{ }}_{n}}{{C}_{p}}\times 30=n\times \frac{7R}{2}\times 30\] \[\text{and }Q=n\times \frac{5R}{2}\times \Delta T\] \[\therefore n\times \frac{7R}{2}\times 30=n\times \frac{5R}{2}\times \Delta T\text{ or }\Delta T=42K.\]


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