A gas made up of atoms escapes through a pinhole 0.392 times as fast as Ne gas. Write the chemical formula of the gas.

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A gas made up of atoms escapes through a pinhole 0.392 times as fast as Ne gas. Write the chemical formula of the gas.

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Sapo 5 months 2021-08-31T10:31:31+00:00 1 Answers 8 views 0

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    2021-08-31T10:32:54+00:00

    Answer:  The chemical formula of the gas is Xenon.

    Explanation:

    From Graham’s law of effusion rates, the rate of effusion of a gas is inversely proportional to the square root of its molar mass.

    \frac{rate_1}{rate_2}=\sqrt{\frac{M_2}{M_1}}

    Given: Rate of unknown gas = 0.392\times R_{Ne}  

    Putting the values in the formula:

    \frac{rate_X}{rate_{Ne}}=\sqrt{\frac{M_{Ne}}{M_X}}

    0.392=\sqrt{\frac{20.17}{M_X}}

    Squaring both sides:

    0.154=\frac{20.17}{M_X}

    M_X=131g/mol

    As Xenon (Xe) has molar mass of 131g/mol, Thus the chemical formula of the gas is Xenon.

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