Question

If the mass of an apple is 100g on average and the mass of the earth is approximately 6.0 * 10^24kg how many apples would it take to equal the mass of the earth? How many moles of apple does this represent?

Answer 1

an apple is 100g
we convert it to 0.1kg for easier calculation

Let n=number of apples
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We want the mass of all the apples equal to the mass of the earth,
\[n(0.1)=6.0 * 10^{24}\]
\[n=6\times 10^{25}\]
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number of apples is \(6\times 10^{25}\)

Answer 2

So, the mass of \(6\times 10^{25}\) apples is \(( 6\times 10^{25} )\times 100g\)
\(=6 \times 10^{27}g\)
\[6 \times 10^{27}g \times\frac{1~mole}{6.02 \times 10 ^{23}~g}=9966~moles\]

Answer 3

Thx :D