The velocity, V of a gas is related to its mass, M by (k = proportionality constant)

  • A V = \(\frac{k}{M}\)
  • B V = \(\frac{k}{M^{\frac{1}{2}}}\)
  • C V = \(kM^2\)
  • D V = \((\frac{k}{M})^{\frac{1}{2}}\)
jamb 2019chemistry

The correct answer is B. V = \(\frac{k}{M^{\frac{1}{2}}}\)

Recall:

V = \(\sqrt{\frac{3RT}{M}}\)

\(\therefore V \propto \frac{1}{\sqrt{M}}\)

\(V = \frac{k}{\sqrt{M}}\)

V = \(\frac{k}{M^{\frac{1}{2}}}\)

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