Synthesis gas (also known as syngas) consists of a mixture of hydrogen, H2, and carbon monoxide,...

Synthesis gas (also known as syngas) consists of a mixture of hydrogen, H2, and carbon monoxide, CO. Calculate the relative rate, as molecules per second, at which the hydrogen and carbon monoxide escape from a leaking cylinder of synthesis gas.

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Expert Solution

Not much information is provided, I believe that we need to invoke Graham’s law of diffusion to answer the problem. Graham’s law of diffusion states

(Rate)₁/(Rate)₂ = √(M₂/M₁) where the rates are the rate of leakage of the gas in molecules/second (we are taking the ratio, so the unit really doesn’t matter a lot); M₁ and M₂ are the molar masses of H₂ and CO; 1 will denote H₂ and 2 will denote CO

Calculate M₁ and M₂; M₁ = 2*1.008 g/mol = 2.016 g/mol.

M₂ = (1*12.01 + 1*15.9994) g/mol = 28.0094 g/mol.

Therefore, (Rate)₁/(Rate)₂ = √(28.0094 g/mol)/(2.016 g/mol) = √(13.89355) = 3.7274 ≈ 3.73

The relative rates of leakage of H₂ and CO are 3.73:1 (ans).

queen_honey_blossom answered 1 year ago

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