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11.Thermodynamics
medium
An ideal gas is taken from point $A$ to the point $B,$ as shown in the $P-V$ diagram, keeping the temperature constant. The work done in the process is

A
$({P_A} - {P_B})({V_B} - {V_A})$
B
$\frac{1}{2}({P_B} - {P_A})({V_B} + {V_A})$
C
$\frac{1}{2}({P_B} - {P_A})({V_B} - {V_A})$
D
$\frac{1}{2}({P_B} + {P_A})({V_B} - {V_A})$
Solution
(d) $W =$ Area bonded by the indicator diagram with $V-$ axis
$ = \frac{1}{2}({P_A} + {P_B})\,({V_B} – {V_A})$
Standard 11
Physics