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20 April, 21:31

What is the volume of 8.7 * 10 ^ 23 molecules of chlorine gas (Cl 2) ?

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  1. 20 April, 21:43
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    32.3 dm³

    Explanation:

    Data given:

    no. of molecules of Cl₂ = 8.7 x 10²³

    Volume of chlorine gas (Cl₂) = ?

    Solution:

    First we have to find number of moles

    For this formula used

    no. of moles = no. of molecules / Avogadros number

    no. of moles = 8.7 x 10²³ / 6.022 x 10²³

    no. of moles = 1.44 moles

    Now we have to find volume of the gas

    for this formula used

    no. of moles = volume of gas / molar volume

    molar volume = 22.4 dm³/mol

    Put values in above equation

    1.44 moles = volume of Cl₂ gas / 22.4 dm³/mol

    rearrange the above equation

    volume of Cl₂ gas = 1.44 moles x 22.4 dm³/mol

    volume of Cl₂ gas = 32.3 dm³
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