Question

The work done in adiabatic process is given by

• A.
• B. $\frac { \mathrm { nR } \left( \mathrm { T } _ { 1 } - \mathrm { T } _ { 2 } \right) } { \gamma - 1 }$
• C. ng(T1 – T2)R
• D.

Answer 1

Answer: (B)

$\frac { \mathrm { nR } \left( \mathrm { T } _ { 1 } - \mathrm { T } _ { 2 } \right) } { \gamma - 1 }$

Answer 2

: In the adiabatic process $P V ^ { \gamma }$ = constant (K) If an ideal gas is changed from state $\left( P _ { 1 } V _ { 1 } T _ { 1 } \right)$to state $\left( P _ { 2 } V _ { 2 } T _ { 2 } \right)$ adiabatically, then work done.

$W = \frac { 1 } { 1 - \gamma } \left[ \frac { P _ { 2 } V _ { 2 } ^ { \gamma } } { V _ { 2 } ^ { \gamma - 1 } } - \frac { P _ { 1 } V _ { 1 } ^ { \gamma } } { V _ { 1 } ^ { \gamma - 1 } } \right] = \frac { 1 } { 1 - \gamma } \left[ P _ { 2 } V _ { 2 } - P _ { 1 } V _ { 1 } \right]$