# Chemistry and Calculus

Calculus Level 5

The pressure in a bulb dropped from $$\displaystyle2000$$ to $$\displaystyle1500$$ mm of mercury in $$\displaystyle47$$ min when the contained oxygen leaked through a small hole. The bulb was then evacuated. A mixture of oxygen and another gas of molecular weight $$\displaystyle79$$ in the molar ratio of $$\displaystyle 1:1$$ at a total pressure of $$\displaystyle 4000$$ mm of mercury was introduced.

What is the molar ratio of the two gases remaining in the bulb after a period of $$\displaystyle 74$$ min?

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