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A gas is 40 mole per cent methane of molar mass 16 and 60 mole per cent ethane of molar mass 30. What is its average molar mass?

  • A.23.0
  • B.46.0
  • C.18.4
  • D.24.4

Answer: D

Correct answer: 24.4

The average molar mass is the mole-fraction-weighted mean: \[ 0.4\times16 + 0.6\times30 = 6.4 + 18 = 24.4. \] Because the weights are *mole* fractions the answer must lie between 16 and 30 and nearer the ethane, which is what the 60 per cent implies - and the 23.0 offered is the unweighted average of the two, which would be right only for an equimolar mixture.

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