# Using Graham's law of effusion, if #"CO"_2# takes 32 sec to effuse, how long will hydrogen take?

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using Graham's law of effusion, if co2 takes 32sec to effuse how long will the hydrogen take?

using Graham's law of effusion, if co2 takes 32sec to effuse how long will the hydrogen take?

According to Graham's Law of Effusion, a gas's rate of effusion is inversely related to the mass of its constituent particles squared.

This can be expressed as

In essence, a gas's effusion rate is determined by the mass of its molecules; the heavier the molecules, the slower the effusion rate.

Similarly, the rate of effusion increases with molecule weight.

Because hydrogen gas molecules are lighter and smaller than carbon dioxide molecules, this prediction is accurate.

Find the two gases' molar masses*.

The two gases' rates of effusion can be expressed as

additionally

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Hydrogen gas will release more quickly than carbon dioxide, as expected.

Two sig figs are used to round the result.

SIDE NOTE: Depending on the values you choose for the molar masses of the two gases, the answer will change slightly.

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Using Graham's law of effusion, if "CO"_2 takes 32 seconds to effuse, hydrogen, which has a lower molar mass than CO2, will take less time to effuse. The ratio of the effusion rates is the square root of the inverse ratio of their molar masses. Since the molar mass of CO2 is about 44 g/mol and the molar mass of hydrogen is about 2 g/mol, the ratio of their molar masses is 22. Therefore, the square root of the inverse ratio is √(1/22). Thus, hydrogen will take approximately 4.7 seconds to effuse.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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