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AP EAMCET · Chemistry · States of Matter

\(300 \mathrm{~mL}\) of a gas ' \(x\) ' of molar mass \(32 \mathrm{~g} \mathrm{~mol}^{-1}\) is effused in 25 seconds. What volume of methane would effuse in the same time?

  1. A \(624 \mathrm{~mL}\)
  2. B \(524 \mathrm{~mL}\)
  3. C \(32 \mathrm{~mL}\)
  4. D \(424 \mathrm{~mL}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(424 \mathrm{~mL}\)

Step-by-step Solution

Detailed explanation

Let, the volume of methane effused in \(25 \mathrm{~s}\) be \(x \mathrm{~mL}\). Now, from the Graham's law of diffusion, Rate of effusion \(\propto \frac{1}{\sqrt{\text { Molecular mass }}}\)...(i) Also, rate of effusion…