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The sufrace tension and vapour pressure of water at 20°C is 7.28 × 10–2 Nm–1 and 2.33 × 103 Pa, respectively.

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प्रश्न

The sufrace tension and vapour pressure of water at 20°C is 7.28 × 10–2 Nm–1 and 2.33 × 103 Pa, respectively. What is the radius of the smallest spherical water droplet which can form without evaporating at 20°C?

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उत्तर

According to the problem, the surface tension of water, T = 7.28 × 10–2 Nm–1 Vapour pressure P = 2.33 × 103 Pa. Let r = radius of drop, which formed without evaporating.

The excess pressure (2T/r) should be greater than the vapour pressure. Then, the drop will evaporate.

Vapour pressure = Excess pressure in drop

`(2T)/r = P`

⇒ `r = (2T)/P`

⇒ `r = (2 xx 7.28 xx 10^-2)/(2.33 xx 10^3)` = 6.25 × 10–5 m

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पाठ 10: Mechanical Properties of Fluids - Exercises [पृष्ठ ७५]

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एनसीईआरटी एक्झांप्लर Physics Exemplar [English] Class 11
पाठ 10 Mechanical Properties of Fluids
Exercises | Q 10.20 | पृष्ठ ७५

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