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  • For a gas, the difference between the two specific heats is <img alt="4150 \mathrm{~J} \mathrm{~kg}^{-1} \mathrm{~K}^{-1}" src="https://entrancecorner.oncodecogs.com/gif.latex?4150%20%5Cmathrm%7B%7

For a gas, the difference between the two specific heats is 4150 \mathrm{~J} \mathrm{~kg}^{-1} \mathrm{~K}^{-1} and the ratio of the two specific heats is 1.4. What is the specific heat of the gas at constant volume in units of J \mathrm{kg}^{-1} \mathrm{~K}^{-1} \text { ? }

Option: 1

8475


Option: 2

5186


Option: 3

1660


Option: 4

10375


Answers (1)

\mathrm{\text { Given } C_p-C_v=4150 \text { and } C_p / C_v=1.4 \text { or } C_p=1.4 C_v \text {. Therefore, }}

\mathrm{\begin{aligned} & 1.4 C_v-C_v=4150 \\ & \text { Or } C_v=\frac{4150}{0.4}=10375 \mathrm{~J} \mathrm{~kg}^{-1} \mathrm{~K}^{-1} \end{aligned}}

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Ramraj Saini

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