If Ne has an effusion rate of 9.42 moles/sec. What would the effusion rate for CO be in moles/sec? Round to 2 decimal places.
Question
If Ne has an effusion rate of 9.42 moles/sec. What would the effusion rate for CO be in moles/sec? Round to 2 decimal places.
Solution
To solve this problem, 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)
Where:
- Rate1 and Rate2 are the rates of effusion of the two gases.
- M1 and M2 are the molar masses of the two gases.
Given in the problem:
- The rate of effusion of Ne (Rate1) is 9.42 moles/sec.
- The molar mass of Ne (M1) is approximately 20.18 g/mol.
- The molar mass of CO (M2) is approximately 28.01 g/mol.
We need to find the rate of effusion for CO (Rate2).
Plugging the given values into the formula, we get:
9.42/Rate2 = sqrt(28.01/20.18)
Solving for Rate2, we get:
Rate2 = 9.42 / sqrt(28.01/20.18)
Calculating the above expression gives us the rate of effusion for CO, which is approximately 7.97 moles/sec when rounded to two decimal places.
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