Question 23

Space above mercury in a barometric tube has a water column of $$27.2\text{ cm}$$. If the atmospheric pressure is $$76\text{ cm}$$ of mercury, find the length of the mercury column above the mercury level in the trough of the barometer. What is the pressure at the top of the mercury column? Assume that space above water is vacuum. Atmospheric pressure is $$76\text{ cm}$$ of Hg and densities of mercury and water are $$13.6\text{ g/cm}^3$$ and $$1\text{ g/cm}^3$$.


Correct Answer: 0

Solution

PLACEHOLDER ANSWER - the question has two answers. The water column exerts a pressure equal to $$\frac{27.2}{13.6} = 2\text{ cm}$$ of mercury, and this is the pressure at the top of the mercury column. The mercury column plus this pressure balances the atmosphere, so its length is $$76 - 2 = 74\text{ cm}$$.

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