Question:

The average molar mass of chlorine is 35.5 g mol\(^{-1}\). The ratio of \(^{35}\mathrm{Cl}\) to \(^{37}\mathrm{Cl}\) in naturally occuring chlorine is close to :

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Use the weighted average (alligation) of the isotopic masses 35 and 37 to reach 35.5.
Updated On: Nov 5, 2026
  • 1 : 1
  • 2 : 1
  • 3 : 1
  • 4 : 1
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The Correct Option is C

Solution and Explanation

Let the fraction of \(^{35}\mathrm{Cl}\) be \(x\) and of \(^{37}\mathrm{Cl}\) be \((1-x)\).
Average mass \(= 35x + 37(1-x) = 37 - 2x = 35.5\).
\(2x = 1.5 \Rightarrow x = 0.75\); so \(^{35}\mathrm{Cl}\) : \(^{37}\mathrm{Cl}\) = 0.75 : 0.25 = 3 : 1.
Answer: (3) 3 : 1
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