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A gaseous compound has a volume of 30 cm 3 at room temperature and pressure. If 0.035 g of the compound is collected, what is its molar mass?

Chemistry

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Answer

C: 28g\text{C: 28g}

Step-by-step solution

2 steps

here's the solution for question 18:

  1. Determine the number of moles of the gaseous compound.

    At room temperature and pressure (r.t.p.), 1 mole of any gas occupies 24000 cm324000 \text{ cm}^3.
    Given volume = 30 cm330 \text{ cm}^3.

    Moles=Given VolumeMolar Volume at r.t.p.\text{Moles} = \frac{\text{Given Volume}}{\text{Molar Volume at r.t.p.}} Moles=30 cm324000 cm3/mol\text{Moles} = \frac{30 \text{ cm}^3}{24000 \text{ cm}^3/\text{mol}} Moles=0.00125 mol\text{Moles} = 0.00125 \text{ mol}
  2. Calculate the molar mass of the compound.

    Given mass = 0.035 g0.035 \text{ g}.

    Molar Mass=MassMoles\text{Molar Mass} = \frac{\text{Mass}}{\text{Moles}} Molar Mass=0.035 g0.00125 mol\text{Molar Mass} = \frac{0.035 \text{ g}}{0.00125 \text{ mol}} Molar Mass=28 g/mol\text{Molar Mass} = 28 \text{ g/mol}

    Comparing this to the given options:
    A: 14g
    B: 32g
    C: 28g
    D: 56g

    The calculated molar mass matches option C.

    The final answer is C: 28g\text{C: 28g}.

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