77.6 mL of alcohol should be measured out.
To solve this question, we must understand what density is all about.
The density of a substance is simply defined as the mass of the subtance per unit volume of the subtance. Mathematically, the density of a subtance can be expressed as:
[tex]Density = \frac{Mass}{Volume}[/tex]
With the above formula, we can obtain the volume of alcohol that should be measured out. This can be obtained as illustrated below:
Mass of alcohol = 63.5 g
Deity of alcohol = 0.818 g/mL
Volume of alcohol =..?
[tex]Density = \frac{Mass}{Volume}\\\\0.818 = \frac{63.5}{Volume}[/tex]
Cross multiply
[tex]0.818 * Volume = 63.5[/tex]
Divide both side by 0.818
[tex]Volume = \frac{63.5}{0.818}[/tex]
Volume = 77.6 mL
Therefore, 77.6 mL of alcohol should be measured out.
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