One mole of a monatomic ideal gas is taken through a cycle A

One mole of a monatomic ideal gas is taken through a cycle ABCDA as shown in the P-V diagram. Column II gives the characteristics involved in the cycle. Match each of the processes (A, B, C, D) given in Column I with properties (1,2,3,4,5) exhibited during the process in Column II. Note:

Hint: Internal energy of gas depends on T only, PV~T

1) (4 points) One mole of a monatomic ideal gas is taken through a cycle ABCDA as shown in the P-V diagram. Column II gives the characteristics involved in the cycle. Match each of the processes (A, B, C, D) given in Column I with properties (1,2,3,4,5) exhibited during the process in Column II. Note: Each process in column I can exhibit multiple properties from column II. Write down your answers in the space provided below Column 1 a) Process A to B b) Process B to C c) Process C to D d) Process D to A Column II 1. Internal energy decreases 2. Internal energy increases 3. Heat is added to system 4. Heat is subtracted from system 5. Work is done on the gas 1P 0 1V Process a) Process b) Process c) Process d)

Solution

Ans :

Process a) ------- From column II ----- 1 , 4 , 5

this is as volume decreases , tempertaure decreases and hence internal energy . Volume reduced therefore work is done on system.

Process b) ------- From column II ----- 1 , 4

As pressure decreases, temperature will decrease and hence internal energy. Therefore heat is lost.

Process c) ------- From column II ----- 2 , 3

As volume increases, temperature increases and hence internal energy. Therefore heat is added to system.

Process d) ------- From column II ----- 4 , 5

As volume decreases , temperature decrease and hence internal energy also decreases. Also here pressure got increased and hence work is done on system.