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Chemistry

The ratio between the volumes occupied by 22 grams of carbon dioxide and 10 grams of hydrogen gas is:

  1. 2.2:1
  2. 1:2.2
  3. 1:10
  4. 10:1

Stoichiometry

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Answer

1:10

Reason — Molar mass of CO2 = 12 + 2 x 16 = 44 g/mole

∴ Moles of 22g CO2 = 2244\dfrac{22}{44} = 0.5

Molar mass of H2 = 2 x 1 = 2 g/mole

∴ Moles of 10g H2 = 102\dfrac{10}{2} = 5

Under the same conditions of temperature and pressure, the volume of a gas is directly proportional to the number of moles. Therefore, the volume ratio will be the same as the mole ratio.

Volume ratio = Vol. of CO2Vol. of H2\dfrac{\text{Vol. of CO}2}{\text{Vol. of H}2} = 0.55\dfrac{0.5}{5} = 1 : 10

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