Two cylinders A and B fitted with pistons con | vedclass

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(D) In both cylinders $A$ and $B,$ the gases are diatomic. For cylinder $A,$ the piston is free to move,which implies an isobaric process. The heat su

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$42$

Vedclass · Answer

(D) In both cylinders $A$ and $B,$ the gases are diatomic. For cylinder $A,$ the piston is free to move,which implies an isobaric process. The heat supplied is given by $\Delta Q = \mu C_p (\Delta T)_A.$ For cylinder $B,$ the piston is fixed,which implies an isochoric process. The heat supplied is given by $\Delta Q = \mu C_v (\Delta T)_B.$ Since the same amount of heat is supplied to both,we have: $\mu C_p (\Delta T)_A = \mu C_v (\Delta T)_B$ $(\Delta T)_B = \frac{C_p}{C_v} (\Delta T)_A$ Since $\frac{C_p}{C_v} = \gamma$ and for a diatomic gas $\gamma = 1.4,$ we get: $(\Delta T)_B = 1.4 	imes 30\ K = 42\ K.$

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