Meta 1 9 5 Ml

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The density lead is 11.3 g/mL. What is the mass of 45 mL of the of metal?

1 Answer

Meta 1 9 5 Ml

Explanation:

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For a sample of a substance, the relationship between the mass of the sample and the volume it occupies is given by the density of the substance.

The density of a substance tells you the mass of exactly one unit of volume. In your case, the density of lead is given in #'g mL'^(-1)#, which makes your unit of volume equal to #'1 mL'#.

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A density of #'11.3 g mL'^(-1)# means that every unit of volume, i.e. every milliliter, of lead has a mass of #'11.3 g'#.

You know that your sample occupies #'45 mL'#, which implies that it must have a mass of

#45 color(red)(cancel(color(black)('mL'))) * color(white)(overbrace(color(black)('11.3 g'/(1color(red)(cancel(color(black)('mL'))))))^(color(blue)('the density of lead'))) = color(green)( bar(ul(color(white)(a/a)color(black)('510 g')color(white)(a/a) )))#

The answer is rounded to two sig figs.

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