AP EAMCET2007PhysicsThermodynamics
Two cylinders A and B fitted with pistons, contain equal number of moles of an ideal monoatomic gas at 400 ~K . The piston of A is free to move while that of B is held fixed. Same amount of heat energy is given to the gas in each cylinder. If the rise in temperature of the gas in A is 42 ~K , the rise in temperature of the gas in B is ( =5 / 3)
Options
- A25.2 ~K
- B35 ~K
- C42 ~K
- D70 ~K
Correct answer
A. 25.2 ~K
Step-by-step solution
Given, T=400 ~K , V= constant, T=42 ~K Heat supplied Q= U+ W or Q=n 3 R 2 42+0 In second process, when piston is free to move aligned Q & =n C_p T^ n 3 R 2 42 & =n 5 R 2 T^ T^ & = 126 5 =25.2 ~K aligned