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QUESTION

# A sample of steel with a density of 7.81 g/ml is added to a 100-mL graduated cylinder with 45.0mL of water. If the resulting water level is 55.5 mL, what is the mass of the sample of steel?

Just over "82 g" ("82.005 g", if you assume a water of "1.00 g/ml").

The water level rose from "45 ml" to "55.5 ml", so that is a volume increase of "10.5 ml".

Assuming that the density of the water is "1.00 g/ml", then we know that the volume of the steel sample was "10.5 ml", and we know it has a density of "7.81 g/ml".

So now we can work out the mass. We know that

"density" = "mass"/"volume"

therefore

"mass" = "volume" xx "density"

Therefore the mass is

10.5 xx 7.81 = "82.005 g"