Two soap bubbles of different diameters are blown on the opposite ends of a glass
tube with a valve on it.
What will be the effect on the diameter of smaller soap bubble if the valve is opened?
Justify.
Answers
Answer:
First see the attached photo to visualize the setup.
As per the question, two soap bubbles are blown and connected by a valve (initially closed).
Now, you need to remember the fact that
Smaller radius soap bubble will have a higher excess pressure.
Smaller radius soap bubble will have a higher excess pressure.Whereas the larger soap bubble will have lower excess pressure.
This can be understood with the equation
∆P = 2T/R,
where ∆P is the excess pressure, T is the surface tension, R is the Radius of the soap bubble.
So higher radius indicates lower pressure.
Now when the valve is opened, air will flow from smaller bubble ( due to higher internal pressure) to larger bubble ( due to lower pressure).
So the smaller bubble will become even smaller , while larger bubble will still become larger .
Explanation:
two soap bubbles are blown and connected by a valve (initially closed). Smaller radius soap bubble will have a higher excess pressure. Smaller radius soap bubble will have a higher excess pressure