# Arrange the following in order of increasing mass? 16 water molecules 2 atoms of lead 0.0000000000000051 moles of helium

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Al E. Share
Feb 8, 2018

A clever unit conversion problem!

Consider,

$16 \text{molecules" * ("mol")/(6.02*10^23"molecules") * (18g)/"mol} \approx 4.8 \cdot {10}^{-} 22 g$

of water,

$2 \text{atoms" * ("mol")/(6.02*10^23"atoms") * (207.2g)/"mol} \approx 6.8 \cdot {10}^{-} 22 g$

of lead, and (this is why we use scientific notation, sheesh!),

$5.1 \cdot {10}^{-} 15 \text{mol" * (2g)/"mol} \approx 1.0 \cdot {10}^{-} 14 g$

of helium.

Hence,

$\text{He" > "Pb} > {H}_{2} O$ in terms of mass.

This proves just how many molecules are in a mole. Thank God, they don't sell eggs in that quantity.

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