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At the same temperature and pressure two identical balloons were separately filled with oxygen and hydrogen. If O2 escaped at the rate of 100ml per second the hydrogen will escape at rate of _____?

At the same temperature and pressure two identical balloons were separately filled with oxygen and hydrogen. If O2 escaped at the rate of 100ml per second the hydrogen will escape at rate of _____?

Explanation
  • The rate of effusion follows Graham’s law: Rate ∝ 1/√Molar mass.
  • Since H₂ (2 g/mol) is lighter than O₂ (32 g/mol), it escapes √(32/2) = 4 times faster, meaning 100 × 4 = 400 ml/sec.