JEE Main & Advanced Physics Kinetic Theory of Gases JEE PYQ-Kinetic Theory Of Gases

  • question_answer
    In a process, temperature and volume of one mole of an ideal monoatomic gas are varied according to the relation VT = K, where K is a constant. In this process, the temperature of the gas is increased by \[\Delta T\]. The amount of heat absorbed by gas is (R is gas constant)-                                      [JEE Main 11-Jan-2019 Evening]

    A) \[\frac{2K}{3}\Delta T\] 

    B)      \[\frac{1}{2}R\Delta T\]

    C) \[\frac{3}{2}R\Delta T\] 

    D)      \[\frac{1}{2}KR\Delta T\]

    Correct Answer: B

    Solution :

    [b] \[VT=K,V\left( \frac{PV}{R} \right)=K\] or\[P{{V}^{2}}=\] constant
    For a poly tropic process
    \[C=\frac{R}{1-x}+{{C}_{V}}=\frac{R}{1-2}+\frac{3R}{2}=\frac{R}{2}\]
    \[\therefore \]\[\Delta Q=nC\Delta T=\frac{1}{2}R\Delta T\]


You need to login to perform this action.
You will be redirected in 3 sec spinner