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Question: One of an ideal gas undergoes a cyclic process ABCDA as shown in the P-V diagram, the net work done ...

One of an ideal gas undergoes a cyclic process ABCDA as shown in the P-V diagram, the net work done in the process is work done in the process is (1 atm = 106 dyne cm–2)

A

500 J

B

700 J

C

800 J

D

900 J

Answer

800 J

Explanation

Solution

: As the loop is traced in clockwise direction the work done is positive, Work done in the process =area of rectangle ABCD

Here, AB=42=2\mathrm { AB } = 4 - 2 = 2 litre =2×103 cm3= 2 \times 10 ^ { 3 } \mathrm {~cm} ^ { 3 }

Work done, W=AB×AD\mathrm { W } = \mathrm { AB } \times \mathrm { AD } =2×103×4×106=8×109erg=800 J= 2 \times 10 ^ { 3 } \times 4 \times 10 ^ { 6 } = 8 \times 10 ^ { 9 } \mathrm { erg } = 800 \mathrm {~J}