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-Dominant- [34]
3 years ago
15

A cylindrical glass tube 12.7 cm in length is filled with mercury (density =13.6 g/mL). The mass of mercury needed to fill the t

ube is 105.5 g. Calculate the inner diameter of the tube (volume of a cylinder of radius r and length h is V=Ïr2h).
Chemistry
1 answer:
Kay [80]3 years ago
7 0

Answer:

The inner diameter of the tube is 0.4410 cm.

Explanation:

Height upto which mercury is filled = 12.7 cm

Mass of mercury = 105.5 g

Density of mercury = 13.6 g/mL =13.6 g/cm^3

Volume of mercury:

\frac{Mass}{Density}=\frac{105.5 g}{13.6 g/cm^3}=7.7573 cm^3

A mercury in cylindrical glass tube is at height of 12.7 cm.

The radius of the inner diameter of the glass tube = r

Volume of cylinder = \pi r^2h

7.7573 cm^3=3.14\times r^2\times 12.7 cm

r = 0.4410 cm.

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