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COMEDK · Physics · 11. Mechanical Properties of Fluids

Calculate the vapour pressure that can help the formation of a spherical droplet of water of radius \(6.25 \times 10^{-5}\) m at 22°C. Given: The surface tension of water at the given temperature is \(7.28 \times 10^{-2}\) Nm\(^{-1}\).

  1. A \(8.81 \times 10^3\ Pa\)
  2. B \(2.33 \times 10^3\ Pa\)
  3. C \(1.01 \times 10^5\ Pa\)
  4. D \(6.64 \times 10^4\ Pa\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(2.33 \times 10^3\ Pa\)

Step-by-step Solution

Detailed explanation

The excess pressure inside a spherical droplet that helps in its formation is given by the formula: \(\Delta P = \dfrac{2T}{r}\) where \(T\) is the surface tension and \(r\) is the radius of the droplet. Substituting the given values: \(T = 7.28 \times 10^{-2}\ \text{N m}^{-1}\)…