Describe Graham’s law. Hydrogen chloride gas (HCl) diffuses 1.8 times faster than an unknown gas. Determine the molar mass of th

Question

Describe Graham’s law.

Hydrogen chloride gas (HCl) diffuses 1.8 times faster than an unknown gas. Determine the molar mass of the unknown gas. Show your work or explain your answer, giving specific values used to determine the answer.

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Euphemia 5 years 2021-07-12T06:10:53+00:00 1 Answers 1086 views 1

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  1. Acacia
    1
    2021-07-12T06:11:57+00:00
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    Answer:

    118.13 g/mol

    Explanation:

    Graham’s Law: Graham’s law of diffusion states that at constant temperature and pressure, the rate of diffusion of a gas is inversely proportional to the square root of its density or molar mass

    mathematically it can be described as

    R ∝ 1/√M

    R = K/√M

    R₁/R₂ = √(M₂/M₁)………………. Equation 1

    Using equation 1 above,

    R₁ = rate of diffusion of hydrogen chloride gas, R₂ = rate of diffusion of the unknown gas, M₁ = molar mass of hydrogen chloride gas, M₂ = molar mass of the unknown gas

    From the question,

    Given: R₁/R₂ = 1.8

    Constant: M₁ = 36.46 g/mol

    Substitute these values into equation 1

    1.8 = √(M₂/36.46)

    1.8² = M₂/36.46

    3.24 = M₂/36.46

    M₂ = (3.24)(36.46)

    M₂ = 118.13 g/mol

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