1. A sample of ethane C2C6 diffuses at a rate of 3.6 x 10^-6 mol/hr. An unknown gas under the same conditions diffuses at a rate of 1.3 x 10^-6 mol/hr. Calculate the molar mass of... 1. A sample of ethane C2C6 diffuses at a rate of 3.6 x 10^-6 mol/hr. An unknown gas under the same conditions diffuses at a rate of 1.3 x 10^-6 mol/hr. Calculate the molar mass of the unknown gas. 2. Which gas in each of the following pairs diffuses more rapidly and what are the relative rates of diffusion? a. Kr and O2 b. N2 and acetylene (C2H2)
Understand the Problem
The first question asks to calculate the molar mass of an unknown gas given the diffusion rate of ethane and the unknown gas. The second question asks to determine which gas diffuses more rapidly and what the relative rates of diffusion are for two pairs of gases: Krypton and Oxygen, and Nitrogen and Acetylene.
Answer
1. Molar mass of unknown gas: 280.5 g/mol. 2. a. O2 diffuses faster, relative rate: 1.58. b. N2 diffuses faster, relative rate: 1.07.
- The molar mass of the unknown gas is 280.5 g/mol.
a. O2 diffuses more rapidly. The relative rate of diffusion is 1.58. b. N2 diffuses more rapidly. The relative rate of diffusion is 1.07.
Answer for screen readers
- The molar mass of the unknown gas is 280.5 g/mol.
a. O2 diffuses more rapidly. The relative rate of diffusion is 1.58. b. N2 diffuses more rapidly. The relative rate of diffusion is 1.07.
More Information
The rate of diffusion is inversely proportional to the square root of the molar mass, according to Graham's Law.
Tips
Make sure to use the correct formula for Graham's Law of Diffusion. Also, remember to square the rates before calculating the molar mass.
Sources
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