Rate of diffusion of gas ‘X’ is 4 times less than that of gas helium. Then molecular weight of gas ‘X’ is
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Given - Rate of diffusion of X in comparison to helium
Find - Molecular weight of gas X.
Solution - According to Graham's Law of diffusion, rate of diffusion of gas is inversely proportional to square root of molecular weight of the gas. Mathematically it will be represented as -
R1/R2 =√(M2/M1)
Molecular weight of Helium is 4 g/mol.
Keeping the values in equation-
X/4X = √(4/M1)
(1/4)² = 4/M1
M1 = 4*16
M1 = 64 g/mol.
Hence, molecular weight of gas X is 64 g/mol.
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