A drop of olive oil of radius 0.30mm spreads into a nearly circular film of radius 12cm on the water surface. Estimate the molecular size of olive oil.
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Here olive oil spread as a film, supposing it is 1 molecule thick on water surface, then the thickness of the film will give the estimate of diameter of molecule
So, we have
d = Volume of oil drop ÷ Area of film
d = 4/3 π (0.03)³ ÷ π (12)²
d = 4/3 (0.000027) ÷ 144
d = 0.000036 ÷ 144
d = 0.00000025
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