How many more molecules? Answer in units of molec?

Which contains more molecules of water,
5.58 cm3
of ice (0.917 g/cm3
) at 0◦C or
5.58 cm3
of liquid water at 0◦C?

1 Answer
anor277
Apr 21, 2018

Would not the liquid water contain MORE molecules?

Explanation:

But how does we know? It is a fact that ICE is LESS DENSE than water. And ice-bergs clearly float on the ocean. Captain of the Titanic please take note.

The density of liquid is usually taken as #1.0*g*mL^-1#...and the question conveniently gives you the density of ice. And so we simply take the molar quantity of each substance, and then multiply this by..........

#"Avogadro's number"=N_A=6.022xx10^23*mol^-1#

#"Molecules of water"=(5.58*cm^3xx1.00*g*cm^-3)/(18.01*g*mol^-1)xxN_A#..

#"Molecules of water AS ICE"=(5.58*cm^3xx0.917*g*cm^-3)/(18.01*g*mol^-1)xxN_A#..

And clearly, the prior quantity is NUMERICALLY GREATER than the SECOND QUANTITY. I will leave you to multiply out the numbers. Capisce?

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