a drop of oil vol 0.05 cm3 is released from a medicicne dropper on to a calm surface pond where it spreads out to cover an area of 40 cm 3. Assume oil film is uniform thickness equal to diameter of oil molecule. Calculate the diameter of oil molecule and express in scientific notation
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Sure! I can help you with that.
To calculate the diameter of the oil molecule, we need to first find the volume of the oil film. We know that a drop of oil with a volume of 0.05 cm³ spreads out to cover an area of 40 cm².
To find the volume of the oil film, we can use the formula: Volume = Area x Thickness
Since the oil film is a uniform thickness equal to the diameter of the oil molecule, we can say that the thickness is equal to the diameter of the oil molecule divided by 2.
Let's denote the diameter of the oil molecule as "d". Therefore, the thickness of the oil film is "d/2".
Now, the equation becomes: Volume = Area x (d/2)
Plugging in the given values: 0.05 cm³ = 40 cm² x (d/2)
To find the diameter of the oil molecule, we need to solve for "d". We can rearrange the equation:
d/2 = 0.05 cm³ / 40 cm²
Now, we can multiply both sides of the equation by 2 to isolate "d":
d = (0.05 cm³ / 40 cm²) x 2
d = 0.05 cm³ / 20 cm²
d ≈ 0.0025 cm (diameter of the oil molecule)
To express this in scientific notation, we can write it as:
d ≈ 2.5 x 10^(-3) cm
Therefore, the diameter of the oil molecule is approximately 2.5 x 10^(-3) cm or 0.0025 cm.