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One mole of an ideal gas in initial stat...

One mole of an ideal gas in initial state A undergoes a cyclic process ABCA, as shown in the figure. Its pressure at A is `P_0`. Choose the correct option (s) from the following

A

Internal energies at A and B are the same

B

Work done by the gas in process AB is `P_0 V_0` in 4

C

Pressure at C is `P_0 //4`

D

Temperature at C is `T_0 //4`

Text Solution

Verified by Experts

The correct Answer is:
A, B
Process AB is isothermal. Temperature at A and B is the same, so internal energy at A and B is the same.
`Delta W_("AB" = nRT_0 "In" (V_B //V_A)`
For point `A : P_0 V_0 = nRT_0`
So `Delta W_(AB) = P_0 V_0 "In "= P_0 V_0 "In " (4 V_0 //V_0) = P_0 V_0 "In " (4)`
Nothing can be said about pressure and temperature at C.
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