# Calculating the diameter of a bubble when it reaches the surface

• qspartan570
In summary, the question asks about the change in diameter of an air bubble released by a scuba diver at a depth of 15 m below the surface of a lake. The temperature of the bubble is assumed to remain constant. The solution involves finding the pressure as a function of depth, which can be done by researching it or using the given equations. This is an isothermal process.
qspartan570

## Homework Statement

A scuba diver releases an air bubble of diameter 1.0 cm at a depth of 15 m below the surface of a lake. What will be the diameter of this bubble when it reaches the surface? Assume that the temperature of this bubble remains constant.

p=F/A
pV=nRT
pV=NkT
R=8.31 J/mole K

## The Attempt at a Solution

I'm not sure on how to find the unknowns (F or p) for the formula p=F/A

You realize this is an isothermal process?
You just need to know the pressure as a function of depth - google for it :) if it's not in your notes.

Simon Bridge said:
You realize this is an isothermal process?
You just need to know the pressure as a function of depth - google for it :) if it's not in your notes.

Ok I got the right answer now. Thank you.

## 1. How do you calculate the diameter of a bubble when it reaches the surface?

The diameter of a bubble can be calculated using the following formula: d = 4 * (3V/4π)^(1/3), where d is the diameter and V is the volume of the bubble.

## 2. What factors affect the diameter of a bubble when it reaches the surface?

The diameter of a bubble can be affected by several factors such as the surface tension of the liquid, the air pressure, the temperature, and the concentration of dissolved gases in the liquid.

## 3. How does the diameter of a bubble change as it rises to the surface?

The diameter of a bubble decreases as it rises to the surface due to the decrease in pressure and an increase in the rate of evaporation. This causes the volume of the bubble to decrease, resulting in a smaller diameter.

## 4. Can the diameter of a bubble be accurately measured?

Yes, the diameter of a bubble can be accurately measured using specialized tools such as a microscope or a ruler with precise markings. However, due to the constantly changing shape of the bubble, multiple measurements may be needed to get an accurate average diameter.

## 5. How is the diameter of a bubble important in scientific research?

The diameter of a bubble can provide valuable information in various scientific fields such as fluid dynamics, material science, and environmental studies. It can also be used as an indicator of the properties of the liquid and the conditions under which the bubble was formed.

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