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7 August, 08:29

A penny has a mass of 2.50g and the Moon has a mass of * 7.351022kg, How many moles of pennies have a mass equal to the mass of the moon?

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  1. 7 August, 11:28
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    Answer: 122 moles

    Procedure:

    1) Convert all the units to the same unit

    2) mass of a penny = 2.50 g

    3) mass of the Moon = 7.35 * 10^22 kg (I had to arrage your numbers because it was wrong).

    => 7.35 * 10^22 kg * 1000 g / kg = 7.35 * 10^ 25 g.

    4) find how many times the mass of a penny is contained in the mass of the Moon.

    You have to divide the mass of the Moon by the mass of a penny

    7.35 * 10^ 25 g / 2.50 g = 2.94 * 10^25 pennies

    That means that 2.94 * 10^ 25 pennies have the mass of the Moon, which you can check by mulitiplying the mass of one penny times the number ob pennies: 2.50 g * 2.94 * 10^25 = 7.35 * 10^25.

    5) Convert the number of pennies into mole unit. That is using Avogadros's number: 6.022 * 10^ 23

    7.35 * 10^ 25 penny * 1 mol / (6.022 * 10^ 23 penny) = 1.22 * 10^ 2 mole = 122 mol.

    Answer: 122 mol
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