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The difference in pressure (in N/m2) across an air bubble of diameter 0.001 m immersed in water (surface tension = 0.072 N/m) is _____
Correct answer is '288'. Can you explain this answer?
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The difference in pressure (in N/m2) across an air bubble of diameter ...
Understanding the Problem
Given parameters:
- Diameter of air bubble (d) = 0.001 m
- Surface tension of water (σ) = 0.072 N/m
The pressure difference across the air bubble immersed in water needs to be calculated.
Calculating Pressure Difference
The pressure difference across the air bubble is given by the Laplace's law:
ΔP = 2σ/R
Where:
- ΔP is the pressure difference
- σ is the surface tension
- R is the radius of the air bubble
Since the diameter of the bubble is given, the radius can be calculated as:
R = d/2 = 0.001/2 = 0.0005 m
Now, substituting the values in the formula:
ΔP = 2*0.072/0.0005
ΔP = 144/0.0005
ΔP = 288,000 N/m^2
Therefore, the pressure difference across the air bubble immersed in water is 288,000 N/m^2.
Given parameters:
- Diameter of air bubble (d) = 0.001 m
- Surface tension of water (σ) = 0.072 N/m
The pressure difference across the air bubble immersed in water needs to be calculated.
Calculating Pressure Difference
The pressure difference across the air bubble is given by the Laplace's law:
ΔP = 2σ/R
Where:
- ΔP is the pressure difference
- σ is the surface tension
- R is the radius of the air bubble
Since the diameter of the bubble is given, the radius can be calculated as:
R = d/2 = 0.001/2 = 0.0005 m
Now, substituting the values in the formula:
ΔP = 2*0.072/0.0005
ΔP = 144/0.0005
ΔP = 288,000 N/m^2
Therefore, the pressure difference across the air bubble immersed in water is 288,000 N/m^2.
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Difference in pressure across an air bubble
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The difference in pressure (in N/m2) across an air bubble of diameter 0.001 m immersed in water (surface tension = 0.072 N/m) is _____Correct answer is '288'. Can you explain this answer?
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