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28 April, 14:22

On a cold day near the ocean it was found that 8g of an unknown gas occupies a volume that is a little less than 6 l. based on this information, what is the most likely identity of the unknown gas

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  1. 28 April, 14:23
    0
    Answer: O₂.

    Explanation:

    1) This question has four answer choices:

    A) CO₂

    B) Ne

    C) O₂

    D) CH₄

    2) You are told that it is a cold day and that the volume is a litle less than 6 liters, then you don't know either the exact temperature or the exact volume, which means that you can only make estimations.

    3) Using the fact that 1 mol of a gas occupies 22.4 liters at standard conditions (273K and 1 atm), you can estimate the number of moles from the proportion:

    1 mol / 22.4 l = x / 6 l ⇒ x = 1 mol x 6 l / 22.4 l = 0.2679 moles

    4) Now you can estimate the molar mass from the formula molar mass = mass in grams / number of moles

    molar mass = 8g / 0.2679 moles = 29.9 g/mol

    5) The molar masses of the 4 gases indicated are:

    CO₂: 44 g/mol

    Ne: 20 g/mol

    O₂: 32 g/mol

    CH₄: 16g/mol

    6) Conclusion: the only choice that is a match is O₂.
  2. 28 April, 14:47
    0
    Know that at 0 degree celsius 1 mol of gas occupies 22.4L

    molar volume is

    Vm = 22.4L / moles

    number of moles:

    6L / (22.4 L / mol) = 0.2679 mol

    The molar mass of this gas:

    molar mass = 8g / 0.2679 mol = 29.9 g/mol

    The value is around 32 mg/mol (which is the molar mass of oxygen)

    Thus,

    The answer is O2
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