JEE Main & Advanced Sample Paper JEE Main Sample Paper-42

  • question_answer
    N moles of an ideal diatomic gas are in a cylinder at temperature T. If we supply some heat to; it, then N/3 moles of gas dissociates into atoms while temperature remains constant. Heat supplied to the gas is

    A)  NRT/6                        

    B)  5NRT/2

    C)  5.6 NRT                     

    D)  8NRT/3

    Correct Answer: A

    Solution :

    Heat supplied = change in internal energy \[=\Delta U={{U}_{f}}-{{U}_{i}}\] \[{{U}_{f}}=\left( N-\frac{N}{3} \right)\times \frac{5RT}{2}+\frac{N}{3}\times 2\times \frac{3RT}{2}\] \[=\frac{5NRT}{3}+NRT\] \[=\frac{8}{3}NRT\] \[{{U}_{i}}=5\times \frac{NRT}{2}\] \[\Delta Q=\frac{8}{3}NRT-\frac{5NRT}{2}=\frac{NRT}{6}\]


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