First slide

Heat ;work and internal energy

Question

P – T curve of a cyclic process is shown. If number of moles of the gas are n, the work done by the gas in the given process is

Moderate

A

$n R (T_{1} + T_{3} - T_{4} + T_{2})$
B

$n R (T_{1} - T_{3} - T_{4} + T_{2})$
C

$n R (T_{1} + T_{3} + T_{4} - T_{2})$
D

$n R (T_{1} + T_{3} - T_{4} - T_{2})$

Solution

Work done along AB and CD is zero. Paths BC and DA are isobaric.
Hence $W = W_{B C} + W_{P A}$
$W = n R (T_{1} + T_{3} - T_{4} - T_{2})$

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