Q80 / 90 · JEE Main 2022 (27 Jun Shift 1) · Physics

A mixture of hydrogen and oxygen has volume 2000 cm3, temperature 300 K, pressure 100kPa and mass 0.76 g. The ratio of number of moles of hydrogen to number of moles of oxygen in the mixture will be

[Take gas constant R=8.3 J K-1 mol-1]

  • A
    13
  • Correct answer
    B
    31
  • C
    116
  • D
    161

Solution

From the ideal gas equation, total number of moles in the mixture are,

n=PVRT=2×10-3×100×103×325×300⇒n=225=0.08

If number of moles of oxygen are n1 and of hydrogen are n2

n1+n2=n=0.08…1

And total mass of the mixture

n132+n22=0.76…2

Solving the above equations,

n1=0.02 and n2=0.06

n2n1=3

Hence, the correct answer is option: 'B'.

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