Question

As a spherical ammonia vapor bubble rises in liquid ammonia, its diameter changes from 1 cm to 3 cm. Calculate the amount of work produced by this bubble, in kJ, if the surface tension of ammonia is 0.065 N/m.

The amount of work produced by the bubble is _____ x10-8 kJ.

Answer 1

The amount of work produced by the spherical ammonia vapor bubble can be calculated using the formula for work done against surface tension force.

Step-by-step explanation:

To calculate the amount of work produced by the spherical ammonia vapor bubble, we need to use the formula for work done against surface tension force:

Work = Surface Tension x Change in Surface Area

The change in surface area can be calculated using the formula:

Change in Surface Area = 4π[(r₂)² - (r₁)²]

Substituting the given values into the formulas, we can find the amount of work produced by the bubble.

Work = (Surface Tension) x 4π[(r₂)² - (r₁)²]

Work = (0.065 N/m) x 4π[(0.015 m)² - (0.005 m)²]

Simplifying the equation, we get the amount of work produced by the bubble as 3.39 x 10⁻⁶ J