If you were given 1 mole of 5cent coins would you be a millionaire? Calculate how many dollars you would have.

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If you were given 1 mole of 5cent coins would you be a millionaire? Calculate how many dollars you would have.

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Answer 1 · 2017-11-05T12:12:31

Yes

Explanation:

A mole is 602,000,000,000,000,000,000,000 units, usually written as $6.02 \cdot 10^{23}$ $6.02*10^23$ .

If you had this number of nickels, you would have $30,100,000,000,000,000,000,000.00. Definitely a millionaire

Answer 2 · 2017-11-05T12:21:23

My word...you might even have an earth-mass of shrapnel....

Explanation:

We take the product....

$6.022 \times 10^{23} \times $ 0.05 = $ 3.01 \times 10^{22}$ $6.022xx10^23xx$0.05=$3.01xx10^22$

Last year the world's gross domestic product (whatever that is, I am a chemist not an economist dammit...) was $75, 278, 049 \times 10^{6} \cdot U S D$ $75,278,049xx10^6*USD$

I happen to know that the Australian 5 cent coin has a mass of $2.83 \cdot g$ $2.83*g$ .

And thus we would have a mass of $6.022 \times 10^{23} \times 2.83 \cdot g \times 10^{- 3} \cdot k g \cdot g^{- 1} = 1.70 \times 10^{23} \cdot k g$ $6.022xx10^23xx2.83*gxx10^-3*kg*g^-1=1.70xx10^23*kg$ ...

For comparison the mass of the sun is $1.989 \times 10^{30} \cdot k g$ $1.989xx10^30*kg$ ....

....the mass of the Earth is $5.97 \times 10^{24} \cdot k g$ $5.97xx10^24*kg$ ....

....the mass of our moon is $7.35 \times 10^{22} \cdot k g$ $7.35xx 10^22 *kg$ ....

And so we got more than a lunar mass of shrapnel....

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If you were given 1 mole of 5cent coins would you be a millionaire? Calculate how many dollars you would have.

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