Question

One mole of an ideal monatomic gas undergoes a process described by the equation PV \(^{3}=\) constant. The heat capacity of the gas during this process is
(a) \(3 / 2 \mathrm{R}\)
(b) \(5 / 2 \mathrm{R}\)
(c) \(2 \mathrm{R}\)
(d) \(R\)

Answer 1

Correct option (d) R
Explanation
Process described by the equation,
\(\mathrm{PV}^{3}=\) constant.
For a polytropic process, \(\mathrm{PV}^{\alpha}=\) constant
$$
C=C_{V}+\frac{R}{1-\alpha}=\frac{3}{2} R+\frac{R}{1-3}=R
$$

Answer 2

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Answer 3

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