Calculate the gauge pressure inside a soap bubble 0.0002m in radius using the surface tension for soapy water
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The surface tension of soapy water is 25*10^3 N/m
PG = 4T/r
PG=4*25*10^3N/m/0.0002m
PG= 500Pa
To calculate the gauge pressure inside a soap bubble, we need to consider the surface tension of soapy water. Surface tension is the force acting per unit length on the surface of a liquid that tends to minimize its surface area.
The formula to calculate the gauge pressure inside a soap bubble is given by the Laplace's law:
P = 2T/r,
where:
P is the gauge pressure inside the bubble,
T is the surface tension of the soapy water, and
r is the radius of the bubble.
Given that the radius of the soap bubble is 0.0002 m and the surface tension for soapy water, we can now plug in the values into the formula to find the gauge pressure.
Let's assume that the surface tension for soapy water is 0.03 N/m (this value may vary depending on the specific type of soapy water used).
P = 2(0.03 N/m) / 0.0002 m
P = 0.3 N/m^2
Therefore, the gauge pressure inside the soap bubble is 0.3 N/m^2 or 0.3 Pascal.