Bunsen-Graham's Law

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Bunsen-Graham's Law is a modification of Graham's law by Robert Bunsen. It says that "The gas diffusion rate is inversely proportional to the square root of its molecular weight"

Most often, this law is presented as a comparison of the diffusion rates of two gases: v 1 v 2 = M 2 M 1 {\displaystyle {\frac {v_{1}}{v_{2}}}={\sqrt {\frac {M_{2}}{M_{1}}}}}

where:

By measuring the diffusion of 2 gases under the same conditions, the ratio of their molecular weights can be determined and the molecular weight for the unknown gas can be determined by comparison with a gas of known molecular weight. justifying

The justification for this right can be achieved using the Maxwell-Boltzmann distribution: The gas diffusion velocity is proportional to the speed of movement of the individual gas molecules. In turn, for perfect gas, all types of average velocities of the perfect gas molecules are inversely proportional to the square root of the mass of the gas molecule, m, or molar mass. v & # x223C; 1 m {\displaystyle v\sim {\frac {1}{\sqrt {m}}}} and v & # x223C; 1 M {\displaystyle v\sim {\frac {1}{\sqrt {M}}}}

Where do we get the above diffusion law? Bunsen-Graham's law can be applied to the components of the gas mixture. In practice it was used for the uranium isotopes needed during World War II to produce the American atomic bomb.

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