If Xe has an effusion rate of 1,087 moles/sec. What would the effusion rate for Ar be in moles/sec? round to the ones place.
Question
If Xe has an effusion rate of 1,087 moles/sec. What would the effusion rate for Ar be in moles/sec? Round to the ones place.
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: (Rate1/Rate2) = sqrt(M2/M1)
Given in the problem, we know:
- The rate of effusion for Xe (Rate1) is 1,087 moles/sec
- The molar mass of Xe (M1) is 131.29 g/mol
- The molar mass of Ar (M2) is 39.95 g/mol
We want to find the rate of effusion for Ar (Rate2).
Plugging the known values into the formula, we get:
1,087/Rate2 = sqrt(39.95/131.29)
Solving for Rate2, we get:
Rate2 = 1,087 / sqrt(39.95/131.29)
Calculating the above expression, we get:
Rate2 = 1,870.6 moles/sec
Rounding to the ones place, the effusion rate for Ar would be approximately 1,871 moles/sec.
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