First slide

Work done by gas

Question

Figure below shows two paths that may be taken by a gas to go from a state A to a state C.
In process AB, 400 J of heat is added to the system and in process BC, 100 J of heat is added to the system. The heat absorbed by the system in the process AC will be

Moderate

A

380 J
B

500 J
C

460 J
D

300 J

Solution

In cyclic process $Q_{cyclic} = W_{cyclic}$
$Q_{AB} + Q_{BC} + Q_{CA} = area enclosed$
400 + l00 + $Q_{CA}$ = $\frac{1}{2} \times (4 \times 10^{4} \times 2 \times 10^{- 3})$
$Q_{AC} = 500 - 40 J = 460 J$

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