Barometer Help: Finding Water Column Height with Mercury Column at 32 inches

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To determine the height of the water column when a mercury column is 32 inches tall, one must consider the density differences between mercury and water. Mercury has a significantly higher density than water, which means that the water column will need to be taller to exert the same pressure. The relationship between height, density, and pressure in barometers is crucial for solving this problem. Understanding the equation that connects these variables will aid in calculating the height of the water column. Ultimately, the water column will be much taller than 32 inches due to its lower density compared to mercury.
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Homework Statement



Two barometers are made with water and mercury. If the mercury column is 32 in. tall, how tall is the water column?

Homework Equations



Not sure where to begin with this question. Someone please help!

The Attempt at a Solution


Need help really bad.
 
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Well, do mercury and water have the same density? Which column do you expect would be taller?
 
astru025 said:

Homework Statement



Two barometers are made with water and mercury. If the mercury column is 32 in. tall, how tall is the water column?

Homework Equations



Not sure where to begin with this question. Someone please help!

The Attempt at a Solution


Need help really bad.
Ask yourself these questions, it will give you ideas about this question:
What are barometers used for?...what do mercury and water have in different in relevance to this question?
 
Mercury has a higher density so the water column will be higher. This doesn't really help me much though
 
Usually barometers are used to measure the atm. so if you know it,then you can use the equation to calculate the height of water if you know the density of water. Not so difficult. :)

EDIT:Do you know the equation relating height density and all that.If you have studied barometers you should know it.
 
astru025 said:
Mercury has a higher density so the water column will be higher. This doesn't really help me much though
Are you sure about that? What is the density of mercury relative to the density of water?
If a constant pressure P supports a mercury column 32 in. tall, don't you think that the height of the mercury column is somehow related to how dense mercury is?
 
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