Question

3.2
Find out the ratio of the volumes occupied by
32g O, and 44g CO2 gases at 27°C temperature
and 700 mmHg pressure. (C=12, O=16)​

Answer 1

we have to find the ratio of the volumes occupied by 32g O2, and 44g CO2 gases at 27° temperature and 700 mmHg pressure.

solution : at constant temperature and pressure, volume of gas in the container is directly proportional to number of molecules present in the container.

i.e., V ∝ n

⇒V₁/V₂ = n₁/n₂

where V is volume of gas and n is no of moles.

given mass of O2 gas = 32 g

molecular mass of O2 gas = 32 g/mol

so no of moles of O2 gas, ₁ = 32/32 = 1 mol

similarly, given mass of CO2 gas = 44g

molecular mass of CO2 gas = 44 g/mol

so no moles of CO2 gas, n₂ = 44/44 = 1

now, V₁/V₂ = 1/1 = 1

Therefore the ratio of volumes occupied by 32g O2 and 44 g CO2 at 27° temperature and 700 mm Hg pressure is 1 : 1.