If 0.00531 mol n2o effuses through an orifice in a certain period of time, how many moles of n2o3 would effuse in the same time under the same conditions?

Answer : The number of moles of effused at same condition are 0.00404 moles.

Solution :

According to the Graham's law, the rate of effusion of gas is inversely proportional to the square root of the molar mass of gas.

or,

      ..........(1)

where,

= rate of effusion of gas

= rate of effusion of gas

= molar mass of gas  = 44 g/mole

= molar mass of gas = 76 g/mole

Now put all the given values in the above formula 1, we get:

Thus, the rate of effusion of is 0.76 times of the rate of effusion of

Number of moles of effused = 0.00531 mol

Number of moles of effused at same condition =

Number of moles of effused at same condition =

Therefore, the number of moles of effused at same condition are 0.00404 moles.