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An ideal gas is made to go through a cyc...

An ideal gas is made to go through a cyclic thermodynamical process in four steps. The amount of heat involved are `Q_1 = 600 J, Q_2 =-400J, Q_3 =-300J` and `Q_4 = 200 J` respectively. The corresponding work involved are `W_1 = 300J, W_2 = -200J, W_3 = -150J` and `W_4`. What is the value of `W_4`

A

-50J

B

100J

C

150J

D

50J

Text Solution

Verified by Experts

The correct Answer is:
C
Since, `Delta Q= Delta U + Delta W`
For a cyclic process, `Delta U = 0`
`:. Delta Q = Delta W`
`Delta Q=Q_1+Q_2+Q_3+Q_4`
= 600-400-300 + 200 = 100J`" "`..(i)
`DeltaW=W_1 +W_2+W_3 + W_4`
=300-200-150+ `W_4`
= -50J + `W_4" "`...(ii)
By eq. (i) and (ii)
100 = -50+ `W_4 implies W_4 = 150 J`.
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