Multiple choice

$32\ g$ of oxygen and $3\ g$ of hydrogen are mixed and kept in a vessel at $760\ mm$ pressure and $0^{\circ}C$. The total volume occupied by the mixture will be nearly:

  1. $22.4\ litre$
  2. $11.2\ litre$
  3. $44.8\ litre$
  4. $56\ litre$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Moles of O2 = 32/32 = 1 mol. Moles of H2 = 3/2 = 1.5 mol. Total moles = 2.5 mol. At STP (760 mm, 0C), 1 mole occupies 22.4 liters. 2.5 moles occupy 2.5 * 22.4 = 56 liters.

AI explanation

The number of moles of oxygen is 32 g / 32 g/mol = 1 mole, and the number of moles of hydrogen is 3 g / 2 g/mol = 1.5 moles. The total number of moles in the mixture is 1 + 1.5 = 2.5 moles. At STP, one mole of any ideal gas occupies 22.4 litres, so the total volume occupied by the mixture is 2.5 moles * 22.4 litres/mole = 56 litres. The total volume occupied by the mixture will be nearly 56 litre.