The effusion rate of an unknown gas is measured and found to be 31.50 mL/min. Under identical experimental conditions, the effusion rate of O2 is found to be 30.50 mL/min. If the choices are CH4, CO, NO, CO2, and NO2, what is the identity of the unknown gas

Answer : The unknown gas is, NO

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 unknown gas  = 31.50 mL/min

= rate of effusion of gas  = 30.50 mL/min

= molar mass of unknown gas = ?

= molar mass of gas = 32 g/mole

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

From the this we conclude that the unknown gas is, NO that has 30.0 g/mol molar mass.

Hence, the unknown gas is, NO

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