December 27, 2024, 12:54:57 AM
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Topic: Need help showing that 1 atm is equal to 14.7 psi using the density of Hg  (Read 6206 times)

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Offline rmhughes

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I need help showing that 1 atm is equal to 14.7 psi using the density of Hg. (13.6 g/cm3)

Offline MrTeo

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Think that the pressure of an atmosphere is equal to that of a mercury column 760mm high. What's the pressure of a column of fluid of given density $$ \delta /$$?
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Offline rmhughes

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Could you give me a little bit more guidance?

Offline MrTeo

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Ok. 1atm is 760mmHg which means that the pressure of a column of Hg (independently from the base surface, remember Stevin's law) 760mm high is equal to 1atm. Now, assuming a generic surface S try to express pressure in the form of:



Youl'll get the result in SI units, as you have mercury's density in g/cm3, but you only need to convert after that.
The way of the superior man may be compared to what takes place in traveling, when to go to a distance we must first traverse the space that is near, and in ascending a height, when we must begin from the lower ground. (Confucius)

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