A liquid has a surface tension of 0.03 N/m. What is the pressure difference acro

Practice Questions

Q1
A liquid has a surface tension of 0.03 N/m. What is the pressure difference across a curved surface of radius 0.1 m?
  1. 0.15 Pa
  2. 0.3 Pa
  3. 0.6 Pa
  4. 0.9 Pa

Questions & Step-by-Step Solutions

A liquid has a surface tension of 0.03 N/m. What is the pressure difference across a curved surface of radius 0.1 m?
  • Step 1: Identify the given values. The surface tension (γ) is 0.03 N/m and the radius (r) is 0.1 m.
  • Step 2: Write down the formula for pressure difference (ΔP) across a curved surface: ΔP = 2γ/r.
  • Step 3: Substitute the values into the formula: ΔP = 2 × 0.03 N/m / 0.1 m.
  • Step 4: Calculate the numerator: 2 × 0.03 N/m = 0.06 N/m.
  • Step 5: Divide the result by the radius: 0.06 N/m ÷ 0.1 m = 0.6 Pa.
  • Step 6: Conclude that the pressure difference across the curved surface is 0.6 Pa.
  • Surface Tension – Surface tension is the property of a liquid that causes it to behave as if its surface is covered with a stretched elastic membrane.
  • Pressure Difference – The pressure difference across a curved surface is related to the surface tension and the radius of curvature, as described by the formula ΔP = 2γ/r.
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