# Ideal Gas Frenzy

Classical Mechanics Level pending

In a container, an certain number $$\alpha$$ of ideal gases, are put inside the container such that rate of diffusion or effusion of every succeeding gas forms a geometric sequence with a common ratio $$\beta$$.

Moreover, the mass of the preceding gas is directly proportional to the molar mass of every succeeding gas by the cube of the same common ratio $$\beta$$.

If the total pressure inside the container is exactly the same as the gas constant $$R$$, then what is its volume-to-temperature ratio in terms of the variables given?

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