At room temperature, the density of water is 1.0 g/mL and the density of ethanol is 0.789 g/mL. What volume of ethanol contains the same number of molecules as are present in 175 mL of water?

Explanation

Let the volume of ethanol containing the same number of molecules as are present in 175 mL of `H_2O` be v mL. As given,
Now, `("wt. of "C_(2)H_(5)OH)/("mol. Wt of" C_(2)H_(5)OH) = ("wt of" H_(2)O)/("mol. Wt of" H_(2)O)`
or `(0.789 xx v)/46 = (1.0 xx 175)/18`
`therefore v= 566.82` mL