$70 \, cal$ of heat are required to raise the temperature of $2 \, moles$ of an ideal gas at constant pressure from $30^{\circ}C$ to $35^{\circ}C$. The amount of heat required to raise the temperature of the same gas through the same range ($30^{\circ}C$ to $35^{\circ}C$) at constant volume is ..... $cal$ $(R = 2 \, cal/mol \cdot K)$.

  • A
    $30$
  • B
    $50$
  • C
    $70$
  • D
    $90$

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Similar Questions

Let $\gamma_1$ be the ratio of molar specific heat at constant pressure and molar specific heat at constant volume of a monoatomic gas and $\gamma_2$ be the similar ratio of a diatomic gas. Considering the diatomic gas molecule as a rigid rotator,the ratio $\frac{\gamma_1}{\gamma_2}$ is

$C_v$ and $C_p$ denote the molar specific heat capacities of a gas at constant volume and constant pressure,respectively. Then

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Which of the following statements is correct regarding the molar specific heat of $1$ mole of an ideal gas at constant pressure $(C_P)$ and constant volume $(C_V)$?

Match the List-$I$ with List-$II$:
List-$I$List-$II$
$A$. Triatomic rigid gas$I$. $\frac{C_P}{C_V} = \frac{5}{3}$
$B$. Diatomic non-rigid gas$II$. $\frac{C_P}{C_V} = \frac{7}{5}$
$C$. Monoatomic gas$III$. $\frac{C_P}{C_V} = \frac{4}{3}$
$D$. Diatomic rigid gas$IV$. $\frac{C_P}{C_V} = \frac{9}{7}$

Choose the correct answer from the options given below:

$A$ diatomic gas is heated at constant pressure. What fraction of the heat energy is used to increase the internal energy?

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