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In a given period of time, 0.0250moles of NH3 effuses. How many moles of CO2 would effuse in to the same period of time?

Question

In a given period of time, 0.0250moles of NH3 effuses. How many moles of CO2 would effuse in to the same period of time?

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Solution

To answer this question, we need to use Graham's law of effusion. This law states that the rate of effusion of a gas is inversely proportional to the square root of its molar mass.

The formula for Graham's law of effusion is: (Rate of effusion of gas 1) / (Rate of effusion of gas 2) = sqrt(Molar mass of gas 2 / Molar mass of gas 1)

First, we need to find the molar masses of NH3 and CO2. The molar mass of NH3 (Nitrogen (14.01 g/mol) + Hydrogen (1.01 g/mol) * 3) is approximately 17.03 g/mol. The molar mass of CO2 (Carbon (12.01 g/mol) + Oxygen (16.00 g/mol) * 2) is approximately 44.01 g/mol.

Now we can plug these values into the formula:

Rate of NH3 / Rate of CO2 = sqrt(44.01 g/mol / 17.03 g/mol)

Solving for the Rate of CO2 (which is what we're trying to find), we get:

Rate of CO2 = Rate of NH3 / sqrt(44.01 g/mol / 17.03 g/mol)

Given that the rate of NH3 is 0.0250 moles, we can substitute this value into the equation:

Rate of CO2 = 0.0250 moles / sqrt(44.01 g/mol / 17.03 g/mol)

Solving this equation will give us the number of moles of CO2 that would effuse in the same period of time.

This problem has been solved

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