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.

The molar ratio of the two gases remaining in the bulb after a period of \(\displaystyle 74\) min can be expressed as \(a:b.\) Find \(a+b.\)

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