Question

Капля масла объёмом 0,001 см.куб образовала на поверхности воды плёнку площадью 1000 см.квадратных. Сколько молекулярных слоёв в этой плёнке?Диаметр молекулы масла принять равным 10 минус 9 степени метра.

Answer 1

То же и каплей масла: нужно посчитать объем одного слоя. Для этого нужно площадь основания умножить на диаметр молекулы: 1000 квадратных сантиметров равны 0,1 квадратному метру.
Объем одного слоя равен 10^(-9)*10^(-1) = 10^(-10) куб см.
И теперь общий объем масла 10^(-3) нужно разделить на объем одного слоя. В результате этого деления получите количество молекулярных слоев.

Answer 2

Calculation of Molecular Layers in the Oil Film

To calculate the number of molecular layers in the oil film formed on the surface of water, we need to consider the volume of the oil droplet and the area of the film.

Given: - Volume of the oil droplet: 0.001 cm³ - Area of the film: 1000 cm²

To find the number of molecular layers, we need to determine the volume occupied by a single oil molecule and then divide the volume of the droplet by the volume of a single molecule.

To calculate the volume of a single oil molecule, we can use the diameter of the molecule provided in the question. The diameter of the oil molecule is given as 10^(-9) meters.

The volume of a sphere can be calculated using the formula: V = (4/3) * π * r³

Since we have the diameter, we can divide it by 2 to get the radius (r) of the oil molecule.

Let's calculate the volume of a single oil molecule:

Radius (r) = Diameter / 2 = 10^(-9) meters / 2 = 5 * 10^(-10) meters

Volume of a single oil molecule (V_molecule) = (4/3) * π * r³

Now, let's calculate the number of molecular layers in the oil film:

Number of molecular layers = Volume of the oil droplet / Volume of a single oil molecule

Note: We need to convert the units to be consistent. Since the volume of the droplet is given in cm³, we need to convert the volume of the molecule to cm³ as well.

Let's perform the calculations:

Calculation:

Radius (r) = 5 * 10^(-10) meters

Volume of a single oil molecule (V_molecule) = (4/3) * π * r³

Volume of a single oil molecule (V_molecule) = (4/3) * 3.14159 * (5 * 10^(-10))^3 cubic meters

Volume of a single oil molecule (V_molecule) = 5.236 * 10^(-29) cubic meters

Converting the volume of a single oil molecule to cm³:

1 cubic meter = 10^6 cm³

Volume of a single oil molecule (V_molecule) = 5.236 * 10^(-29) cubic meters * 10^6 cm³/cubic meter

Volume of a single oil molecule (V_molecule) = 5.236 * 10^(-23) cm³

Number of molecular layers = Volume of the oil droplet / Volume of a single oil molecule

Number of molecular layers = 0.001 cm³ / 5.236 * 10^(-23) cm³

Number of molecular layers ≈ 1.91 * 10^19

Therefore, there are approximately 1.91 * 10^19 molecular layers in the oil film.

Please note that the above calculation assumes a uniform distribution of oil molecules in the film and does not take into account any other factors that may affect the actual number of molecular layers.