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A liquid whose density is twice the density of mercury is used as a barometric liquid. If 1 atmosphere is 76 cm of Hg, how much is this in the unknown barometric liquid?*1 point3876152380

Question

A liquid whose density is twice the density of mercury is used as a barometric liquid. If 1 atmosphere is 76 cm of Hg, how much is this in the unknown barometric liquid?*1 point3876152380

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Solution

The problem is asking for the height of the barometric liquid that would correspond to 1 atmosphere of pressure, given that the density of this liquid is twice that of mercury.

Here are the steps to solve this problem:

  1. We know that 1 atmosphere is equivalent to 76 cm of mercury.

  2. The height of a column of liquid that produces a certain pressure is inversely proportional to the density of the liquid. This is because pressure is the product of height, density, and gravitational acceleration. Therefore, if the density of the liquid is doubled, the height of the column that produces the same pressure is halved.

  3. Therefore, if the density of the liquid is twice that of mercury, the height of the liquid column that would produce a pressure of 1 atmosphere would be half that of mercury.

  4. So, the height of the unknown barometric liquid that corresponds to 1 atmosphere would be 76 cm / 2 = 38 cm.

This problem has been solved

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