The average area of the circle on the surface of the water was calculated to be...

The average area of the circle on the surface of the water was calculated to be 521 cm^2 for the ethyl alcohol and 881 cm^2 for the ethyl alcohol solution of naphthalene. What is the area occupied by one molecule of naphthalene?

Expert Solution

Given that the average area of the circle on the surface of the water was calculated to be 521 cm² for the ethyl alcohol. From this information we can calculate the average radius of the above mentioned circle.

i.e., Surface Area = 4πr₁² = 521 cm² , where r₁ is the radius of the circle.

r₁= [521/(4π) ]^1/2= 6.438 cm

So radius of the circle on the surface of the water for ethyl alocohol is calculated to be 6.438 cm

Now we have to calculate the radius (r₂) of the cicle on the surface of water for ethyl alcohol solution of naphthalene.

Given Surface Area = 4πr₂² = 881 cm²

r₂ = [881/(4π) ]^1/2= 8.372 cm

By calculating the difference we can get the radius of naphthalene molecule.

i.e., Radius = 8.372 cm - 6.438 cm = 1.934 cm

So average surface area of naphthalene = 4πr² = 4π*(1.934 cm)² = 47.00 cm²

queen_honey_blossom answered 2 years ago

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