Question

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

विकल्प

• 2.2 : 1

• 1 : 2.2

• 1 : 10

• 10 : 1

Answer 1

The ratio between the volumes occupied by 22 grams of carbon dioxide and 10 grams of hydrogen gas is 1 : 10.

Explanation:

Molar mass of CO₂ = 12 + 2 × 16 = 44 g/mol

∴ Moles of 22g CO₂ = `22/44` = 0.5

Molar mass of H₂ = 2 × 1 = 2 g/mol

∴ Moles of 10g H₂ = `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 = `"Volume of CO"_2/"Volume of H"_2`

= `0.5/5`

= 1 : 10