TS EAMCET · Physics · Kinetic Theory of Gases
The specific heat of helium at constant volume is \(12.6 \mathrm{~J} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}\). The specific heat of helium at constant pressure in \(\mathrm{J} \mathrm{mol}^{-1} \mathrm{~K}^{-1}\) is approximately (assume, the universal gas constant, \(R=8.314 \mathrm{~J} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}\) )
- A 12.6
- B 16.8
- C 18.9
- D 20.9
Answer & Solution
Correct Answer
(D) 20.9
Step-by-step Solution
Detailed explanation
Given, \(C_V=12.6 \mathrm{~J} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}\) \(R=8.314 \mathrm{~J} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}\) By Mayer's relation, \(\begin{aligned} C_p & =C_V+R=12.6+8.314 \\ & =20.914 \approx 20.9 \mathrm{~J} \mathrm{~mol}^{-1} \mathrm{~K}^{-1} \end{aligned}\)
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