A 147-g piece of metal has density of 7.00 g/mL. A 50-mL graduated cylinder contains 20.0 mL of water. What is the final volume after the metal is added to the graduated cylinder?

1 Answer
Meave60
Nov 26, 2016

The final volume in the cylinder will be #"41.0 mL"#.

Explanation:

Use the density formula to determine the volume of the piece of metal.

#"density"="mass"/"volume"#

Rearrange the equation to isolate volume.

#"volume" ="mass"/"density"#

#"volume"=(147 cancel"g")/(7.00cancel"g"/"mL")="21.0 mL"#

The final volume in the cylinder after adding the piece of metal is

#"20.0 mL"+"21.0 mL"="41.0 mL"#

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