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Question

One mole of a monoatomic ideal gas occupies two chambers of a cylinder partitioned by means of a movable piston. The walls of the cylinder as well as the piston are thermal insulators. Initially equal amounts of gas fill both the chambers at open parentheses P subscript 0 end subscript comma V subscript 0 end subscript comma T subscript 0 end subscript close parentheses. A coil is burnt in the left chamber which absorbs heat and expands, pushing the piston to the right. The gas on the right chamber is compressed until to pressure becomes 32 P subscript stack 0 with _ below end subscript. The final volume of left chamber is

  1. fraction numerator V subscript 0 end subscript over denominator 8 end fraction    
  2. fraction numerator 15 over denominator 8 end fraction V subscript 0 end subscript    
  3. fraction numerator 7 over denominator 8 end fraction V subscript 0 end subscript    
  4. fraction numerator 9 over denominator 8 end fraction V subscript 0 end subscript    

The correct answer is: fraction numerator 15 over denominator 8 end fraction V subscript 0 end subscript

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