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Physics · PYQ NEET UG 2016(2)

हिन्दी

A given sample of an ideal gas occupies a volume V at a pressure P and absolute temperature T. The mass of each molecule of the gas is m. Which of the following gives the density of the gas?

  1. \( mkT \)
  2. \( P/(kT) \)
  3. \( Pm/(kT) \)
  4. \( P/(kTV) \)

Correct answer · Option 3

\( Pm/(kT) \)

Explanation

Ideal gas equation: \( P = nkT = \frac{\rho}{m} kT \), where \( \rho = mn \). Therefore, density \( \rho = \frac{Pm}{kT} \).
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