A 25.0-cm long cylindrical glass tube, sealed at one end, is filled with ethanol. The mass of ethanol needed to fill the tube is

Question

3 years ago

12

found to be 45.23 g. The density of ethanol is 0.789 g/mL. Calculate the inner diameter of the tube in centimeters.

1 answer:

Inessa05 [86] · Answer 1 · 2022-05-16T07:04:10+03:00

Answer:

Therefore, internal diameter of the glass tube = 1.708 cm

Explanation:

Volume of ethanol = volume of glass tube

volume of ethanol = mass of ethanol/ density of ethanol

volume of ethanol = 45.23 g/ 0.789g/ml

volume of ethanol = 57.326 ml

Therefore volume of glass tube = 57.326 ml

1 ml = 1 cm³

Volume of glass tube in cm³ = 57.326 cm³

Volume of a cylinder = πd²h/4

where h = height of cylinder; d = internal diameter of cylinder

d = √(volume * 4/πh)

d = √(4 * 57.326 cm³ / 3.142 * 25)

d = 1.708 cm

Therefore, internal diameter of the glass tube = 1.708 cm