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Question

Unknown gas diffuses with CO2 .The rate of diffusion of an unknown gas is double than that of CO2. The molecular weight of the unknown gas is ?


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Solution

Step 1: Graham's law:

  • “According to Graham's law, the rate of diffusion is inversely proportional to the square root of its molecular weight.”
  • It is expressed as:
  • r1r2=m2m1

Step 2: Given Information:

  • Let m1 be the mass of unknown gas.
  • m2 be the mass of carbon dioxide i.e. 44g
  • r1 is the rate of diffusion of the unknown gas.
  • r2 is the rate of diffusion of carbon dioxide gas.
  • r1r2=2

Step 3: Substituting the values:

r1r2=m2m1r1r2=2(Given)2=44m14=44m1m1=11g

Thus, the molecular weight of unknown gas is 11g


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