The molar specific heat of an ideal gas at constant pressure and constant volume is $C_p$ and $C_v$ respectively. If $R$ is the universal gas constant and the ratio of $C_p$ to $C_v$ is $\gamma$,then $C_v=$

  • A
    $\frac{1-\gamma}{1+\gamma}$
  • B
    $\frac{1+\gamma}{1-\gamma}$
  • C
    $\frac{r-1}{R}$
  • D
    $\frac{R}{\gamma-1}$

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Similar Questions

The relation between two specific heats of a gas is

Given below are observations on molar specific heats at room temperature of some common gases.
Gas Molar specific heat $(C_v)$ $(cal\, mol^{-1}\, K^{-1})$
Hydrogen $4.87$
Nitrogen $4.97$
Oxygen $5.02$
Nitric oxide $4.99$
Carbon monoxide $5.01$
Chlorine $6.17$

The measured molar specific heats of these gases are markedly different from those for monatomic gases. Typically,molar specific heat of a monatomic gas is $2.92 \; cal/mol\; K$. Explain this difference. What can you infer from the somewhat larger (than the rest) value for chlorine?

If $c_p$ and $c_v$ denote the specific heats (per unit mass) of an ideal gas of molecular weight $M$,then which of the following relations holds true,where $R$ is the molar gas constant?

The following sets of values for ${C_V}$ and ${C_P}$ of a gas have been reported by different students. The units are $cal/gm-mole-K$. Which of these sets is most reliable?

The correct relation between $\gamma = \frac{C_p}{C_v}$ and temperature $T$ is:

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