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1 L each of gases A and B diffused through a membrane in 15 and 30 minutes, respectively, under identical conditions. What is the ratio of molecular weight of A and B?
ChemistryStates of MatterTS EAMCETTS EAMCET 2021 (05 Aug Shift 2)
Options:
  • A 1 : 2
  • B 2 : 1
  • C 4 : 1
  • D 1 : 4
Solution:
2431 Upvotes Verified Answer
The correct answer is: 1 : 4

According to Graham’s Law, at constant pressure and temperature, molecules or atoms with lower molecular mass will effuse faster than the higher molecular mass molecules or atoms. Thomas even found out the rate at which they escape through diffusion. In other words, it states that rate of effusion of gas is inversely proportional to the square root of its molecular mass. This formula is generally used while comparing the rates of two different gases at equal pressures and temperatures. Formula can be written as

Rate1Rate2=M2M1

M1 is the molar mass of gas 1

M2 is the molar mass of gas 2

Rate1 is the rate of effusion of the first gas

Rate2 is the rate of effusion for the second gas

It states that rate of diffusion or effusion is inversely proportional to its molecular mass.

 

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