Question

A sample of N2O effuses from a container in 42 seconds. How long would it take the same amount of gaseous I2 to effuse from the same container under identical conditions?

Answer 1

Effusion is process in which the gaseous particles passes through a small hole into the vacuum.

According to Graham’s law of effusion,

Therefore, according to Graham’s law, the rate of effusion is inversely proportional to the root mean square velocity of the gaseous molecules i.e., the rate of effusion is higher for lighter molecule and vice versa.

The rate is always inversely proportional to the time. Hence, the above equation may be modified as,

Here,

It is given in the question for the same container,

The time taken for effusion of = 42 sec

The time taken for effusion of =?

The molar mass of is 44 g/mole.

The molar mass of is 253.8 g/mole/

Therefore, calculate the time taken for the effusion of as follows:

Thus, the gaseous takes to effuse from the container.