Join thousands of students who trust us to help them ace their exams!Watch the first video
Multiple Choice
If NO₂ and NH₃ are allowed to effuse through a porous membrane under identical conditions, the rate of effusion for NH₃ will be how many times that of NO₂?
A
1.5
B
2.0
C
0.8
D
1.6
Verified step by step guidance
1
Begin by understanding Graham's Law of Effusion, which states that the rate of effusion of a gas is inversely proportional to the square root of its molar mass. This can be expressed as: , where r1 and r2 are the rates of effusion and M1 and M2 are the molar masses of the gases.
Identify the molar masses of NO₂ and NH₃. NO₂ has a molar mass of approximately 46 g/mol, and NH₃ has a molar mass of approximately 17 g/mol.
Apply Graham's Law to find the ratio of the effusion rates. Substitute the molar masses into the formula: .
Calculate the square root of the ratio of the molar masses: . This will give you the factor by which the rate of effusion of NH₃ is greater than that of NO₂.
Interpret the result to determine how many times faster NH₃ effuses compared to NO₂ under identical conditions. This will help you choose the correct answer from the given options.