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A system is taken from state a to state c by two paths a d c and a b c as shown in the figure. The internal energy a is U₂=10 J. Along the path adc the amount of heat heat absorbed Q₁=50 ~J and the work obtained W₁=20 ~J whereas along the path a b c the heat absorbed Q₂=36 ~J . The amount of work along the path a b c is:

Options

  1. A10 ~J
  2. B12 ~J
  3. C38 ~J
  4. D6 ~J

Correct answer

D. 6 ~J

Step-by-step solution

According to 1^ st 1 aw of thermodynamics Q= V+ W Along the path adc U₁= Q₁- W₁=50-20=30 ~J then path abc Since change in Internal energy in path in dependence aligned So, U₁ & = U₂ 30 ~J & =36 ~J - W₂ W₂ & =36 ~J -30 ~J & =6 ~J aligned

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