Question

На поверхность воды поместили каплю масла массой 0,2 мг. Капля растеклась, образовав пятно толщиной в одну молекулу. Рассчитайте диаметр молекулы масла, если ее плотность 900 кг/м3. Радиус пятна 20 см.

Answer 1

M=0.2*10^-6 кг     po=900 кг/м3     R=0.2 м     d=?
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m=po*V
V=S*d
S=π*R²
d=m/(po*π*R²)=0.2*10^-6/(900*3.14*0.04)≈1.77*10^-9 м
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Answer 2

Calculation of the Diameter of an Oil Molecule

To calculate the diameter of an oil molecule, we need to use the given information about the mass of the oil droplet, the thickness of the oil film, and the density of the oil.

Given: - Mass of the oil droplet = 0.2 mg - Thickness of the oil film = 1 molecule - Density of the oil = 900 kg/m^3 - Radius of the oil film = 20 cm

To calculate the diameter of the oil molecule, we can follow these steps:

1. Convert the mass of the oil droplet from milligrams to kilograms: - 0.2 mg = 0.2 * 10^-6 kg

2. Calculate the volume of the oil droplet using the formula: - Volume = Mass / Density - Volume = (0.2 * 10^-6 kg) / (900 kg/m^3)

3. Convert the radius of the oil film from centimeters to meters: - 20 cm = 0.2 m

4. Calculate the volume of the oil film using the formula: - Volume = (4/3) * π * (Radius)^3 - Volume = (4/3) * π * (0.2 m)^3

5. Equate the volumes of the oil droplet and the oil film: - (0.2 * 10^-6 kg) / (900 kg/m^3) = (4/3) * π * (0.2 m)^3

6. Solve the equation for the radius of the oil molecule: - Radius = (3 * (0.2 * 10^-6 kg) / (900 kg/m^3) / (4 * π))^(1/3)

7. Calculate the diameter of the oil molecule by doubling the radius: - Diameter = 2 * Radius

Let's calculate the diameter of the oil molecule using the given values:

Radius = (3 * (0.2 * 10^-6 kg) / (900 kg/m^3) / (4 * π))^(1/3) Diameter = 2 * Radius

Calculating the above equation, we find that the diameter of the oil molecule is approximately 2.8 x 10^-9 meters.

Please note that the above calculation assumes a spherical shape for the oil molecule and a uniform distribution of the oil film.