Answer to Question #145873 in General Chemistry for Erica

Question

Arrange the gasses in order of increasing rates of diffusion (a) F2, Cl2, N2, O2 (b) HCL, NH3, NO, Kr (c) N2O, CO, NE, O3

Answer 1

We know the formula,

r1/r2 = √(M2/M1)

Where, r1 = rate of diffusion of gas with molar mass M1.

r2 = rate of diffusion of gas with molar mass M2.

So, r ∝ 1/√M

i.e. rate of diffusion ∝ 1/√ molar mass

a) Molar mass of F2 = 38 g/mol

Molar mass of Cl2 = 71 g/mol

Molar mass of N2 = 28 g/mol

Molar mass of O2 = 32 g/mol

Decreasing order of Molar mass of the gases are,

Cl2>F2>O2>N2

As,

rate of diffusion ∝ 1/√ molar mass

So, rate of diffusion follow the order,

Cl2<F2<O2<N2

b)Molar mass of HCl = 36.5 g/mol

Molar mass of NH3 = 17 g/mol

Molar mass of NO = 30 g/mol

Molar mass of Kr = 84 g/mol

Decreasing order of Molar mass of the gases are,

Kr>HCl>NO>NH3

As,

rate of diffusion ∝ 1/√ molar mass

So, rate of diffusion follow the order,

NH3<NO<HCl<Kr

C) Molar mass of N2O = 44 g/mol

Molar mass of CO = 28 g/mol

Molar mass of Ne = 10 g/mol

Molar mass of O3 = 48 g/mol

Decreasing order of Molar mass of the gases are,

O3>N2O>CO>Ne

As,

rate of diffusion ∝ 1/√ molar mass

So, rate of diffusion follow the order,

O3<N2O<CO<Ne