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1 March, 13:36

Consider the following gas samples: 10. g of hydrogen gas, 10. g of helium gas, 2.5 moles of nitrogen gas, 110. g of carbon dioxide gas, and 365 g of sulfur hexafluoride gas. Arrange the gas samples in order of increasing number of total atoms present.

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  1. 1 March, 17:25
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    As we know,

    One mole of a gas contains 6.023 * 10 ²³ number of atoms.

    Moles is denoted by given mass divided by the molecular mass,

    Hence,

    n = w / m

    n = moles,

    w = given mass,

    m = molecular mass.

    (a) From the question,

    w = 10 g,

    As we know molecular mass of Hydrogen = 2 g/mol

    Using the above formula, and putting the respective values,

    Moles = n,

    n = w / m = 10 / 2 = 5 mol

    The number of atoms in one molecule of Hydrogen = 2

    Hence,

    The number of atoms = 5 * 2 * 6.023 * 10 ²³ = 60.23 * 10 ²³ atoms.

    (b) From the question,

    w = 10 g

    As we know molecular mass of helium gas = 4 g/mol

    Using the above formula, and putting the respective values,

    Moles = n,

    n = w / m = 10 / 4 = 2.5 mol

    The number of atoms in one molecule of Helium = 1

    Hence,

    The number of atoms = 5 * 1 * 6.023 * 10 ²³ = 30.115 * 10 ²³ atoms.

    (c) From the question,

    moles of nitrogen gas = 2.5 mol

    The number of atoms in one molecule of nitrogen gas = 2

    Hence,

    The number of atoms = 2.5 * 2 * 6.023 * 10 ²³ = 30.115 * 10 ²³ atoms.

    (d) From the question,

    w = 110 g

    As we know molecular mass of carbon dioxide gas = 44 g/mol

    Using the above formula, and putting the respective values,

    Moles = n,

    n = w / m = 110 / 44 = 2.5 mol

    The number of atoms in one molecule of carbon dioxide = 3

    Hence,

    The number of atoms = 2.5 * 3 * 6.023 * 10 ²³ = 45.17 * 10 ²³ atoms.

    (e)

    From the question,

    w = 365 g

    As we know molecular mass of sulfur hexafluoride gas = 146 g/mol

    Using the above formula, and putting the respective values,

    Moles = n,

    n = w / m = 365 / 146 = 2.5 mol.

    The number of atoms in one molecule of sulfur hexafluoride gas = 7

    Hence,

    The number of atoms = 2.5 * 7 * 6.023 * 10 ²³ = 105.40 * 10 ²³ atoms.

    Hence,

    The order is -

    sulfur hexafluoride > Hydrogen > carbon dioxide > nitrogen gas = helium gas
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