College

A liquid X at 25°C is poured to a height of 40 cm in a thin capillary tube of length 70 cm and diameter of 1 cm. Assume that the volume of the capillary tube does not change with temperature.

Find the initial volume of the liquid in cm³.

Answer :

The level within a capillary tube with a radius of 0.45 mm rises to a height of 3 cm above the water's surface when submerged in it.

What is the capillary pressure equation?

When water saturation decreases, Pnw outside the pore throat is larger than Pw within the pore throat, resulting in a positive pressure (Pc=PnwPw), which is the definition of capillary pressure.

A micron is equal to 0.001 mm in diameter, therefore the capillaries are just big enough for red blood cells to travel through in a single line. Endothelial cells, which also make up the smooth channel surface of the bigger vessels, are the single layer of cells that make up their walls.

learn more about Endothelial cells

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Final answer:

The initial volume of liquid X in the capillary tube with a diameter of 1 cm and a height of liquid of 40 cm is approximately 31.42 cm³, calculated using the formula for the volume of a cylinder.

Explanation:

To find the initial volume of liquid X in the capillary tube, we can use the formula for the volume of a cylinder: Volume (V) = πr²h, where r is the radius of the tube and h is the height of the liquid in the tube. Since the diameter of the tube is given as 1 cm, the radius r is 0.5 cm. The height h of liquid X is 40 cm as given. Applying the formula:

V = π(0.5 cm)2(40 cm) = 3.14159 × 0.25 cm2 × 40 cm ≈ 31.42 cm³.

Therefore, the initial volume of the liquid X in the capillary tube is approximately 31.42 cm³.