Perfume Diffusion Time Calculation

How long will it take to smell the second perfume?

If you smell the first perfume in 15 seconds, how long will it take to smell the second perfume?

Answer:

It will take approximately 17.40 seconds to smell the second perfume after diffusion takes place.

The time taken to smell the second perfume can be calculated based on Graham's law of diffusion. According to the law, diffusion of gas is inversely proportional to the square root of its molar mass.

Given that the molar mass of Perfume A is 275 g/mol and the molar mass of Perfume B is 205 g/mol, we can calculate that Perfume B will diffuse 1.16 times faster than Perfume A.

Therefore, Perfume B will be the first perfume smelled by a person. The time taken to smell Perfume B after Perfume A is 15 seconds can be calculated as follows:

tb = ta x (rb/ra) = 15 seconds x 1.16 = 17.40 seconds

So, it will take approximately 17.40 seconds to smell the second perfume after diffusion takes place.