Question 2.25: The water level in a graduated cylinder stands at 20.0 mL be...

The water level in a graduated cylinder stands at 20.0 mL before and at 26.2 mL after a 16.74-g metal bolt is submerged in the water. (a) What is the volume of the bolt? (b) What is the density of the bolt?

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(a)  The bolt will displace a volume of water equal to the volume of the bolt. Thus, the increase in volume is the volume of the bolt:

26.2 mL   = volume of water plus bolt
\underline{-20.0\text{ mL}} = volume of water
6.2 mL     = volume of bolt

(b)  d=\frac{\text{mass of bolt}}{\text{volume of bolt}}=\frac{16.74 g}{6.2 mL}=2.7 g/mL

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