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At room temperature, the density of wate...

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?

Text Solution

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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
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