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Ideal gas undergoes an adiabatic change ...

Ideal gas undergoes an adiabatic change in its state from `(P_1 V_1 , T_1)` to` (,P_2 ,V_2 T_2 )`. The work done (W) in the process is (n = number of moles, `C_p ` and `C_v` are molar specific heats of gas)

A

`W = n(T_1-T_2)C_P`

B

`W = n(T_2-T_2)C_V`

C

`W=n(T_1+T_2)C_P`

D

`W=n(T_1+T_2)C_V`

Text Solution

Verified by Experts

The correct Answer is:
B
Work done `(W)= (nR (T_2-T_1))/(gamma-1)`
Since, `C_V= (R)/(gamma-1)" ":. W=n C_V (T_2-T_1)`.
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