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Equal amount of an ideal monoatomic gas at 400K is filled in two cylinders A and B. The piston 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 45 K. Then the rise in temperature of gas in B is (In Kelvin)

Option: 1

75


Option: 2

100


Option: 3

55


Option: 4

45


Answers (1)

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The gas filled in monoatomic piston A is free to move i.e it is an isobaric process. Piston B is fixed i.e it is an isochoric process. If the same amount of heat is given,

                       (\Delta Q)_{isobaric}= \left ( \Delta Q \right )_{isochoric}

                         \mu C_p(\Delta T)_A=\mu C_v(\Delta T)_B

                                  \left (\Delta T \right )_{B}= \left (\frac{C_P}{C_v} \right )\left ( \Delta T \right )_{A}

                                                 =\gamma \times \left ( \Delta T \right )_{A}

                                                 =\frac{5}{3} \times 45=75K

Posted by

Deependra Verma

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