in an oil drop experiment the radius of the oil patch was found to be 10cm and the volume of the oil used was 1.1*10^-5 cm^3. calculate;
1) the diameter of the film
2) the thickness of the patch
3) the size of the molecule
To calculate each of the requested values, we need to apply different formulas based on the given information in the oil drop experiment.
1) To calculate the diameter of the film:
The radius of the oil patch is given as 10 cm. The diameter of a circle is twice the radius. So, the diameter can be calculated by multiplying the radius by 2:
Diameter = 2 * Radius
Diameter = 2 * 10 cm
Diameter = 20 cm
2) To calculate the thickness of the patch:
To find the thickness, we need to know the volume and area of the film. Using the formula for the volume of a sphere, we can find the thickness:
Volume of the film = 1.1 * 10^(-5) cm^3
The formula for the volume of a sphere is:
Volume = (4/3) * π * (Radius)^3
Since we have the volume and want to find the thickness, we can rearrange the formula to solve for the thickness (T):
T = (3 * Volume) / (4 * π * (Radius)^2)
T = (3 * (1.1 * 10^(-5) cm^3)) / (4 * π * (10 cm)^2)
T ≈ 2.2 * 10^(-7) cm
3) To calculate the size of the molecule:
The size of the molecule can be estimated using the following formula:
Size of molecule ≈ (Thickness of patch) / π
Size of molecule ≈ (2.2 * 10^(-7) cm) / π
Size of molecule ≈ 7 * 10^(-8) cm
Note: These calculations assume that the oil patch is a thin film with a uniform thickness.