Question

350cc of oxygen and 275cc of gas X diffused in the same time .Calculate the molar of gas X​

Answer 1

11th/Chemistry

States of Matter

Answer :

350cm³ of O₂ and 275cm³ of gas X diffused in the same time.

We have to find the molar mass of gas X$.$

⧪ Graham's law of diffusion : Under similar conditions of temperature and pressure, rates of diffusion of different gases are inversely proportional to the square root of their molar masses.

• $\bf{\dfrac{V}{t}\propto \dfrac{1}{\sqrt{M}}}$

Molar mass of O₂ = 32g/mol

V denotes volume

t denotes time

M denotes molar mass of gas

ATQ, time is same for both gases therefore we can say that

• V ∝ 1/√M

➙ V₁/V₂ = √M₂/√M₁

➙ 350/275 = √M₂/√32

➙ (14/11)² = M₂/32

➙ M₂ = 196×32/121

➙ M₂ = 51.8 g/mol

Cheers!