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Gas does a given fraction of the heat supplied as work: molar heat capacity in the process

This type of question, asked 2 times: 2021 Paper 26, 14 Jun 2022. All 2 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    2021 Paper 26

    22
    1 mole of rigid diatomic gas performs a work of Q5\frac{Q}{5} when heat QQ is supplied to it. The molar heat capacity of the gas during this transformation is xR8\frac{xR}{8}. The value of xx is
  2. Question 2

    14 Jun 2022

    119
    A monoatomic gas performs a work of Q4\frac{Q}{4} where QQ is the heat supplied to it. The molar heat capacity of the gas will be ____ R\_\_\_\_\ R during this transformation. Where RR is the gas constant.