Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ Water (density = 1.0 g/cm³) rises in a glass capillary tube to a height of 8.4 cm at 25°C. What is the diameter of the capillary tube? The surface tension of water is 0.07199 kg/s².

To find the diameter of the capillary tube, we can use the relationship between the height of the liquid column in a capillary tube and the surface tension.

The formula for the height of the liquid column in a capillary tube is given by:

h = (2 × T) / (ρ × g × r)

where:

h is the height of the liquid column,

T is the surface tension of the liquid,

ρ is the density of the liquid,

g is the acceleration due to gravity, and

r is the radius of the capillary tube.

In this case, we are given:

h = 8.4 cm = 0.084 m (converted to meters),

T = 0.07199 kg/s²,

ρ = 1.0 g/cm³ = 1000 kg/m³ (converted to kg/m³), and

g = 9.8 m/s².

We can rearrange the formula to solve for the radius of the capillary tube:

r = (2 × T) / (ρ × g × h)

Substituting the given values:

r = (2 × 0.07199 kg/s²) / (1000 kg/m³ × 9.8 m/s² × 0.084 m)

Calculating this expression gives us:

r ≈ 4.06 x 10⁻⁶ m

Finally, we can find the diameter of the capillary tube by doubling the radius:

diameter = 2 × r = 2 × 4.06 x 10⁻⁶ m = 8.12 x 10⁻⁶ m

Therefore, the diameter of the capillary tube is approximately 8.12 micrometers.

Learn more about capillary tube from the link given below.

https://brainly.com/question/30097496

#SPJ4