Can you help with this one please?

A drop of oil (vol 0.05cm^3) is released on to a calm surface of a pond where it spreads out and covers an area of 40 cm^2. Assume the oil film has uniform thickness equal to the diameter of an oil molecule. Calculate the diameter of an oil molecule and express your answer in scientific notation to an appropriate # of sig. fig.

please see the post I got from bob

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tupe : "drop of oil" into the search box and it will lead you to the message.

To answer this question, I need to find the diameter of an oil molecule based on the given information. The relevant information includes the volume of the oil drop (0.05 cm³) and the area it covers when spread out (40 cm²).

First, let's calculate the thickness of the oil film. Since the oil film has uniform thickness equal to the diameter of an oil molecule, we can find the thickness by dividing the volume by the area:

Thickness = Volume / Area

Thickness = 0.05 cm³ / 40 cm²

Now, to find the diameter of an oil molecule, we can assume the oil molecule is spherical. The volume of a sphere is given by the formula:

Volume = (4/3) * π * (radius³)

Since the thickness calculated earlier is equal to the radius of the molecule, we can rearrange the formula to solve for the diameter:

Diameter = 2 * Radius = 2 * Thickness

Let's plug in the values to calculate the diameter:

Diameter = 2 * 0.05 cm³ / 40 cm²

Diameter = 0.00125 cm

To express the diameter in scientific notation with an appropriate number of significant figures, we can convert it to a power of 10:

Diameter = 1.25 × 10⁻³ cm (in scientific notation)

So, the diameter of an oil molecule, based on the given information, is 1.25 × 10⁻³ cm.