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AP EAMCET · PHYSICS · Kinetic Theory of Gases

The specific heat capacities of an ideal gas at the constant pressure and at constant volume are \(620 \mathrm{Jkg}^{-1} \mathrm{~K}^{-1}\) and \(420 \mathrm{Jkg}^{-1} \mathrm{~K}^{-1}\) respectively. The density of the gas at STP is approximately,

  1. A \(2.88 \mathrm{kgm}^{-3}\)
  2. B \(4.86 \mathrm{kgm}^{-3}\)
  3. C \(3.88 \mathrm{kgm}^{-3}\)
  4. D \(1.86 \mathrm{kgm}^{-3}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(1.86 \mathrm{kgm}^{-3}\)

Step-by-step Solution

Detailed explanation

Given, specific heat capacity of a gas at constant pressure, \(C_p=620 \mathrm{~J} \mathrm{~kg}^{-1} \mathrm{~K}^{-1}\) and specific heat capacity of gas at constant volume, \(C_V=420 \mathrm{~J} \mathrm{~kg}^{-1} \mathrm{~K}^{-1}\) \(\because\) Molar specific heat of gas at…