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19 November, 15:01

Question 20 a raindrop has a mass of 50. mg and the pacific ocean has a mass of * 7.081020kg. use this information to answer the questions below. be sure your answers have the correct number of significant digits.

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  1. 19 November, 18:26
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    The questions you can answer are

    1) what is the mass of one mole of raindrops?, and

    2) How many moles of raindrops are in the pacific ocean

    Solutions:

    1) what is the mass of one mole of raindrops?

    mass = number of rain drops * mass of on rain drop

    The number of rain drops in one mole of rain drops is 6.02 * 10^23

    So, the mass of one mole of rain drops is

    6.02 * 10 ^ 23 rain drops * 50. mg * (1 kg / 1,000,000 mg) = 3.01 * 10^ 19 kg

    The correct number of significant digits is 2, because 50. mg has two signficant digits, so the answer must be shown as 3.0 * 10^ 19 kg.

    2) How many moles of raindrops are in the pacific ocean

    Use the proportion 1 mol / 3.0 * 10^19 kg = x mol / 7.08 * 10^20 kg

    And you solve for x:

    x = (7.08 * 10^20 kg) * 1 mol / (3.0 * 10^19 kg) = 2.36 * 10 = 23.6 moles

    Which rounded to two significant digits is 24 moles of rain drops.
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