For a gas if $\gamma = 1.4$,then atomicity,${C_p}$ and ${C_v}$ of the gas are respectively

  • A
    Monoatomic,$\frac{5}{2}R, \frac{3}{2}R$
  • B
    Monoatomic,$\frac{7}{2}R, \frac{5}{2}R$
  • C
    Diatomic,$\frac{7}{2}R, \frac{5}{2}R$
  • D
    Triatomic,$\frac{7}{2}R, \frac{5}{2}R$

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Select the incorrect relation. (Where symbols have their usual meanings)

The quantity of heat required to raise the temperature of one mole of a monoatomic gas by one degree Kelvin at constant volume is

$Assertion:$ At a given temperature,the specific heat of a gas at constant pressure $(C_p)$ is always greater than its specific heat at constant volume $(C_v)$.
$Reason:$ When a gas is heated at constant volume,some extra heat is needed compared to that at constant pressure for doing work in expansion.

Obtain the equation for $\gamma = \frac{C_P}{C_V}$ in terms of the degree of freedom $f$.

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The specific heat of a gas:

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