# Have manometer given density and mass

• p.mcnamara
In summary, adding a given mass of water with a density of 1000 kgm-3 to one arm of a U-shaped manometer with Karo syrup (density 1200 kgm-3) in both arms would result in a difference in the heights of the two arms due to the difference in density. This can be calculated using the equation F=mg=v*p*g, where F is the force exerted by the liquid, m is the mass of the liquid, g is the acceleration due to gravity, v is the volume of the liquid, and p is the density of the liquid. The difference in heights can then be used to determine the pressure difference between the two arms of the manometer.
p.mcnamara

## Homework Statement

Assume you have a U-shaped, hollow tube (we call it a manometer) with Karo syrup (density 1200 kgm-3) in it such that both arms are half filled. What would happen if you added a given mass of water (1000 kgm-3) into one of the arms of the manometer? (the mass has less volume than half the arm of the manometer)

## The Attempt at a Solution

F=mg=v*p*g F=(1000kgm-3)(9.8m/s2)=9800N

p.mcnamara said:

## Homework Statement

Assume you have a U-shaped, hollow tube (we call it a manometer) with Karo syrup (density 1200 kgm-3) in it such that both arms are half filled. What would happen if you added a given mass of water (1000 kgm-3) into one of the arms of the manometer? (the mass has less volume than half the arm of the manometer)

## The Attempt at a Solution

F=mg=v*p*g F=(1000kgm-3)(9.8m/s2)=9800N

Welcome to the PF.

Your work doesn't really go towards the question, IMO. You need to draw a sketch (or post the one in your textbook) of the manometer in equilibrium before and then after adding the water to one side. Your answer should reflect the difference in the heights of the two tops of liquid in the two sides of the manometer.

Please post a sketch of the before/after situations, and then work out the difference between the two heights in the after state.

## 1. What is a manometer?

A manometer is a scientific instrument used for measuring pressure, typically in gases and liquids.

## 2. How does a manometer work?

A manometer works by measuring the difference in height between two columns of liquid, which is directly proportional to the pressure being measured.

## 3. Can a manometer be used to measure density and mass?

Yes, a manometer can be used to indirectly measure density and mass by using the pressure measurements and applying the ideal gas law.

## 4. What is the relationship between manometer, density, and mass?

The relationship between manometer, density, and mass is that the pressure measured by the manometer can be used to calculate the density and mass of a gas or liquid sample.

## 5. How accurate is a manometer in measuring density and mass?

The accuracy of a manometer in measuring density and mass depends on several factors such as the precision of the instrument, the conditions of the sample being measured, and the skill of the user. With proper calibration and usage, a manometer can provide accurate measurements.

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