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A vertical capillary of radius r is brought in contact with water of density ρ and surface tension S . If the angle of contact is zero, then the amount of heat liberated while the water rises along the capillary, is

Options

  1. A2 π S ⁡ 2 ρ g ⁡
  2. Bπ S ⁡ 2 ρ g ⁡
  3. CZero
  4. D4 π S ⁡ 2 ρ g ⁡

Correct answer

A. 2 π S ⁡ 2 ρ g ⁡

Step-by-step solution

W ⁡ ST = πr ⁡ 2 h ⁡ ρg ⁡ h ⁡ , W ⁡ g ⁡ = πr ⁡ 2 h ⁡ ρg ⁡ h ⁡ 2 Heat = Q = W ⁡ ST - W ⁡ g ⁡ = πr ⁡ 2 ρg ⁡ h ⁡ 2 2 and h ⁡ = 2 S ⁡ r ⁡ ρg ⁡ ⇒ Q ⁡ = 2 πS ⁡ 2 ρg ⁡

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