Calculate mass percent and mole percent of h2 and o2 if average molecular mass of the mixture is 14
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Let in one mole of H2 and O2 mixture , x mol of H2 and (1 - x) mol of O2 are present.
so, average molar mass of mixture = mole of H2 × molar mass of H2 + mole of O2 × molar mass of O2
or, 14 = x × 2 + (1 - x) × 32
[ as we know, molar mass of H2 = 2g/mol and molar mass of O2 = 32g/mol]
or, 14 = 2x + 32 - 32x
or, -18 = -30x
or, x = 0.6 and (1 - x) = 0.4
so, number of mole of H2 = 0.6 mol
and number of mole of O2 = 0.4 mol
so, mole percent of H2 = 0.6/(0.6 + 0.4) × 100 = 60%
and mole percent of O2 = 100-60= 40%
again, mass of H2 in mixture = 0.6 × 2 = 1.2g
mass of O2 in mixture = 0.4 × 32 = 12.8g
mass percent of H2 = 1.2/(1.2 + 12.8) × 100 = 120/14 = 60/7 %
and mass percent of O2 = 100 - 60/7 = 640/7 %
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Both B and C are correct.
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