Question #0f077

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Question #0f077

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Answer 1 · 2016-05-30T13:07:20

$540 mL$ $"540 mL"$

Explanation:

A substance's density tells you the mass of one unit of volume of that substance.

In your case, the density of corn oil is said to be equal to ${0.92 g mL}^{- 1}$ $"0.92 g mL"^(-1)$ . The volume is expressed in milliliters, $mL$ $"mL"$ , which means that one unit of volume will be equal to $1 mL$ $"1 mL"$ .

This means that for every $1 mL$ $"1 mL"$ of corn oil that you have, you also have a mass of $0.92 g$ $"0.92 g"$ .

You can thus use the density of corn oil as a conversion factor to help you determine how many milliliters are equivalent to $500 g$ $"500 g"$ .

$500 g \cdot the density of corn oil      \frac{1 mL}{0.92 g} = 543.8 mL$ $500 color(red)(cancel(color(black)("g"))) * overbrace("1 mL"/(0.92color(red)(cancel(color(black)("g")))))^(color(blue)("the density of corn oil")) = "543.8 mL"$

You should round this off to one sig fig, the number of sig figs you have for the mass of corn oil, but I'll leave it rounded to two sig figs

$volume = ∣ ∣ ∣ ∣ ¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ \frac{a}{a} 540 mL \frac{a}{a} ∣ ∣ - --------- -$ $"volume" = color(green)(|bar(ul(color(white)(a/a)color(black)("540 mL")color(white)(a/a)|)))$

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Question #0f077

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