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A polytropic process for an ideal gas is represented by equation PVn = constant. If g is ratio of specific heats open parentheses C subscript p over C subscript v close parentheses, then value of n for which molar heat capacity of the process is negative, is given as :

  1. gamma greater than n
  2. gamma greater than n greater than 1
  3. n greater than gamma
  4. none , as it is not possible

The correct answer is: gamma greater than n greater than 1


    C equals fraction numerator R over denominator gamma minus 1 end fraction minus fraction numerator R over denominator n minus 1 end fraction equals fraction numerator R left parenthesis n minus gamma right parenthesis over denominator left parenthesis n minus 1 right parenthesis left parenthesis gamma minus 1 right parenthesis end fraction
C text  is negative if  end text gamma greater than n greater than 1 text  .  end text

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