COMEDK · Physics · 12. Thermal Properties of Matter
If \(\gamma\) is the ratio of specific heats and \(R\) is the universal gas constant, then the molar specific heat at constant volume \(C_{V}\) is given by
- A \(\gamma R\)
- B \(\frac{(\gamma-1) R}{\gamma}\)
- C \(\frac{R}{\gamma-1}\)
- D \(\frac{\gamma R}{\gamma-1}\)
Answer & Solution
Correct Answer
(C) \(\frac{R}{\gamma-1}\)
Step-by-step Solution
Detailed explanation
According to Mayer's formula, \(C_{p}-C_{V}=R\) where, \(C_{p}=\) specific heat at constant pressure, \(C_{V}=\) specific heat at constant volume \(R=\) gas constant . \(\Rightarrow \quad \frac{C_{p}}{C_{V}}-1=\frac{R}{C_{V}}\) \(\Rightarrow \quad \gamma-1=\frac{R}{C_{V}}\)…
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