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You have a 100.0-mL graduated cylinder containing 50.0 mL of water. You carefully place a 144-g piece of brass (density = 8.56 g/mL) into the water. What is the final volume reading in the graduated cylinder?

Sagot :

Answer:

66.8mL

using dimensional analysis:

[tex]\frac{144 grams}{} *\frac{1 mL}{8.56 grams} = 16.8mL[/tex]

16.8mL+50.0mL=66.8mL final reading

Density is in units mass/volume, you were given the mass and density so from that you can find the volume of the metal and add that to the initial volume of water.

I used dimensional analysis which can be used to solve essentially any problem involving units. Notice how I started with the given number and units on the left and multiplied it by a fraction the units of the given number on the bottom (so it will cancel) and the desired unit on the top.