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Which statement about the effusion rates of nitrogen and oxygen is true?


Oxygen effuses 1.07 times faster than nitrogen.


Nitrogen effuses 1.07 times faster than oxygen.


Oxygen effuses 0.9 times faster than nitrogen.


Nitrogen effuses 0.9 times faster than oxygen.

Verified Answer :

idajames49

the correct answer is b: nitrogen effuses 1.07 times faster than oxygen.

Answer: Nitrogen effuses 1.07 times faster than oxygen.

Explanation:

To calculate the rate of effusion of gas, we use Graham's Law.

This law states that the rate of effusion or diffusion of gas is inversely proportional to the square root of the molar mass of the gas. The equation given by this law follows:

\(\text{Rate of effusion}\propto \frac{1}{\sqrt{\text{Molar mass of the gas}}}\)

\(\frac{Rate_{N_2}}{Rate_{O_2}}=\sqrt{\frac{M_{O_2}}{M_{N_2}}}\)

\(\frac{Rate_{N_2}}{Rate_{O_2}}=\sqrt{\frac{32}{28}\)

On solving we get:

\(\frac{Rate_{N_2}}{Rate_{O_2}}=1.07\)

\({Rate_{N_2}}=1.07\times {Rate_{O_2}}\)

Hence, Nitrogen effuses 1.07 times faster than oxygen.

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