Mr. Avogadro spends Avogadro number of dollars

Chemistry Level 1

Mr. Avogadro, a mega-super-duper-hyper-millionaire wants to spend Avogadro number of dollars. He spends $100 per second. Assuming Mr. Avogadro to be immortal, approximately how long will he take in years to accomplish his mission?

10000000000

2 \times 10^{14}

6.022 \times 10^{21}

6.022 \times 10^{23}

1 solution

Tom Engelsman
Aug 10, 2017

We require:

$\frac{\$100}{1 sec} \cdot \frac{3600 sec}{1 hr} \cdot \frac {24 hr}{1 day} \cdot \frac{365 days}{1 year} \cdot (N years) = \$6.02 \times 10^{23}$ .

Solving for N gives:

$N = \frac{6.02 \times 10^{23}}{(100)(3600)(24)(365)} = 1.91 \times 10^{14} \approx \boxed{2 \times 10^{14}}$ years.

Mr. Avogadro spends Avogadro number of dollars

1 solution

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