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Physics · KINETIC THEORY

हिन्दी

A vessel of volume \( V \) contains a mixture of 1 mole of Neon (atomic mass \( 20\text{ u} \)) and 2 moles of Oxygen (molecular mass \( 32\text{ u} \)) at temperature \( T \). Assuming ideal gas behaviour, what is the ratio of the partial pressure of Neon to the total pressure of the mixture?

  1. A
    \( 1 : 2 \)
  2. B
    \( 2 : 3 \)
  3. C
    \( 5 : 8 \)
  4. D
    \( 1 : 3 \)
View Answer & Solution

Correct answer · Option D

\( 1 : 3 \)

Explanation

By Dalton's law of partial pressures, \( P_{\text{Ne}} = \frac{\mu_1 RT}{V} \) and \( P_{\text{total}} = \frac{(\mu_1 + \mu_2) RT}{V} \). Thus, \( \frac{P_{\text{Ne}}}{P_{\text{total}}} = \frac{\mu_1}{\mu_1 + \mu_2} = \frac{1}{1 + 2} = \frac{1}{3} \).
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