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What is the rate of diffusion of a gas mixture composed of 70% nitrogen and 30% carbon dioxide at a temperature of 25°C and a pressure of 1 atm? The gases are contained in separate compartments that are separated by a membrane with a thickness of 0.5 mm and a surface area of 0.05 m². The diffusion coefficient of nitrogen is 1.85 x 10⁻⁵ cm²/s and for carbon dioxide it is 1.59 x 10⁻⁵ cm²/s.
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<|begin_of_thought|>

Deep Thought is thinking for 7.5 million years.

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The answer is 42.

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