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QUESTION

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

##"510 g"##

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

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 .