An ideal gas undergoes cyclic process ABCDA as shown in given P-V diagram. The amount of work done by the gas is

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asked Mar 4, 2018 in Class XI Physics by vijay Premium (527 points)

An ideal gas undergoes cyclic process ABCDA as shown in given P-V diagram. The amount of work done by the gas is
(a) 6PgV0
(b) -2P0V0
(c) +2 P0Vo
(d) +4PoV0

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2 Answers

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answered Mar 4, 2018 by nikita74 (-1,043 points)

Key concept: Work (∆W): Work can be defined as the energy that is transferred from one body to the other owing to a force that acts between them.
If P be the pressure of the gas in the cylinder, then force exerted by the gas on the piston of the cylinder
F=  PA.
In a small displacement of piston through dx, work done by the gas
dW = F.dx = PA dx = PdV.

Important point: In a cyclic process work done is
1. positive if the cycle is clockwise.
2. negative if the cycle is anticlockwise.

0 votes
answered Jan 16 by Sunn Pradhan Basic (24 points)
We Know that,
Wa–b = (1ATM)×(3-1)lit.
           = 1 × 10^6 × 2 × 10^3
           = 2 × 10^9
Wb–c = 0
              (because it is constant process of B to C)
Similarly,
Wc–d = (2 × 10^6) × (2-3)
           =  -2 × 10^9
Wd–a = 0
Here,
      Total Work is done = 2 × 10^9 × 2 × 10^9
                                           = +4

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