Difference between mass and volume

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SUMMARY

The discussion clarifies the difference between mass and volume using a practical example involving water in a beaker. The volume of water in the beaker is definitively 250 ml, which corresponds to the space occupied by the water. To determine the mass of the water, one must know its density, which is calculated using the formula density = mass/volume. Given that the density of water is approximately 1 g/ml, the mass of the 250 ml of water is 250 grams.

PREREQUISITES
  • Understanding of basic physics concepts such as mass and volume
  • Knowledge of density and its calculation
  • Familiarity with metric units, specifically milliliters and grams
  • Ability to use online tools for unit conversions, such as Wolfram Alpha
NEXT STEPS
  • Research the concept of density and its significance in physics
  • Learn how to convert between different units of volume and mass
  • Explore the relationship between mass, volume, and density in various substances
  • Investigate practical applications of mass and volume in scientific experiments
USEFUL FOR

Students studying physics, educators teaching basic science concepts, and anyone interested in understanding the fundamental differences between mass and volume.

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Homework Statement



I have a beaker of capacity 500 ml and i fill it with 250 ml. Now, what is mass and volume of water?

Homework Equations





The Attempt at a Solution


Volume is the space occupied by matter, so i presume 250 ml is the volume of water. Mass is the quantity of matter, so again 250 ml is the mass of the water. Then what difference does mass and volume have?
 
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The mass of a body is a measure of the difficulty a body meets with if :
a) it is to start moving given it was at rest
or
b) it is to stop given it was moving
or
c) it is to change its velocity.
 
The easiest way to understand you problem is using the units. Using this site http://www.wolframalpha.com/input/?i=litre" under the "Physics quantities" tab we see that a Litre is a measure of volume.

A volume is the "space" inside of an object. So the water that is poured into the 500ml (ml=milliLitre or 1ml = 0.0001 * 1 litre ) container occupies 250ml. That is the volume of water.

To find the mass you require to know the density of water. Density is defined as
[itex]density=\frac{mass}{volume}[/itex]
we usually give this in a mass per unit volume form, so you need to find this value. Then check that the units match with those you are using and find the mass.
 
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