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An ideal gas exists in a state with pressure P₀ volume V ₀ .It is isothermally expanded to 4 times of its initial volume ( V ₀ ) , then isobarically compressed to its original volume. Finally the system is heated isochorically to bring it to its initial state. The amount of heat exchanged in this process is :

Options

  1. AP ₀ ~V ₀(2 2-0.75)
  2. BP ₀ ~V ₀( 2-0.75)
  3. CP ₀ ~V ₀( 2-0.25)
  4. DP₀ V₀(2 2-0.25)

Correct answer

A. P ₀ ~V ₀(2 2-0.75)

Step-by-step solution

aligned & ₁=P₀ v₀ 4 & ₂= P₀ 4 (-3 v₀ )=- 3 P₀ v₀ 4 aligned aligned & ₃=0 & Q _ T = U _ cyclic + aligned Q _ T = ( U _ cyclic =0 ) aligned & Q _ T = P ₀ v ₀ ( 4- 3 4 ) & = P ₀ v ₀(2 2-0.75) aligned

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