Asample of n2 effuses in 220 s. how long will the same size sample of cl2 take to effuse? a sample of n2 effuses in 220 s. how long will the same size sample of cl2 take to effuse? 86.8 s 388 s 350 s 558 s 138 s

Answer : The sample of effuses in, 350 seconds.

Solution : Given,

Effusion time of = 220 s

Molar mass of = 28 g/mole

Molar mass of = 71 g/mole

Rate of effusion : It is defined as the volume of gas effused in a given time 't'.

Formula used :

Or,

Rate of effusion : It is defined as the rate of effusion is directly proportional to the square root of the mass of the gas.

From the two expressions, we conclude that the relation between the time and the mass of gas is,

or,     .........(1)

where,

= molar mass of gas

= molar mass of gas

= time of effusion of gas

= time of effusion of gas

Now put all the given values in equation (1), we get

By rearranging the terms, we get

Therefore, the sample of effuses in, 350 seconds.

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