Significance of the relationship of mass and volume?
What is there relationship anyway?
And the significance?
I have this Chemistry lab homework report which I couldn't start on... about displacement thing, where we put solids into liquids (in a cylinder), etc..
Answer:
Mass is only proportional to volume of the same substance under the same conditions.
Given a cube of lead and a cube of pine wood of the same size (say 1cm cubed) the lead would have the mass of about 11g, and the wood would have the mass of about 0.5g.
So, if you had examined the reading of the volume of water in a grad cylinder before (11mL) and submerged each you would see (12mL) after. However you would notice that the lead sunk to the bottom and the wood floated. This is due to the density of the objects. The displacement is 1mL for each, yeah the lead has more mass per volume so it is heavier than water and sinks. The wood has only half the mass as water with the same displacement, so it floats.
The significance is, if you want to make a boat of lead, you'd need to have it be hollow and leave a lot space so it would displace a greater volume of water.
mass/volume = density
Items less dense will float on items that are more dense for solid items.
Mass is a measure of the quantity of matter present in an object. Volume is a measure of how much space it occupies.
Mass can be measured on an instrument called a "balance" -- that is, the object whose mass is sought is placed on one side of a see-saw like device and smaller reference masses (objects) are placed on the other side until the balance swings freely at equilibrium.The volume of an object can sometimes be determined by measurement if its various dimensions followed by a calculation of its volume based on a suitable formula. For example, a box has a volume that is the product of its length, width, and height, V = L x W x H. It would be incorrect to assume that any small object is of low mass -- and just as incorrect to assume that any object of large volume is of necessity an object of high mass.
Density, d, is a comparison of an object's mass, m, to its volume ,V,
Thus, d = m / V It is in this relationship that mass and volume work together to give on a sense of "how big" something actually is. As you can see by examining the little formula, objects of high density will have a lot of mass occupying a relatively small volume. As mentioned above, it is incorrect to assume that an object of large volume is necessarily an object of large mass. Put another way, just because an object takes up a lot of space doesn't mean it will have a great mass. And vice versa: An object of small volume can have relatively great mass.
Consider a Ping-Pong ball and a golf ball. Both are of approximately the same volume. However, the golf ball has the greater mass and therefore the greater density.
Consider the box mentioned above: When empty, the box has a small mass compared to its mass when the box is filled with sand -- even though the volume is unchanged.
In simplest terms: Mass is a measure of the quantity of matter present in an object. Volume is a measure of how much space it occupies. As you can see, these terms do not mean the same thing.
The relationship between mass and volume is determined by the density of an object.
Density (kg/m3) = mass (kg) / volume (m3)
If two objects are of the same volume, the object with the higher density has the higher mass.
You can use displacement to calculate the density of an object as follows:
Weigh the object - this gives you the mass.
Drop the object into a measuring cylinder containing water. Make sure that the whole object is submerged. The volume of the object displaces the same volume of water.
e.g. Object is weighed at 250g = 0.25kg
The original water level showed 100ml.
With the object submerged, the new water level shows 300ml.
The object therefore has a volume of 200ml.
1ml = 1cm3 = 0.000001m3 = 10(-6)m3
The density is therefore 0.25 / (200 x 10(-6))
= 0.25 / 0.0002
= 1250 kg/m3
density = mass / volume
this is the relationship>>>>>>>>>>>>>>>>
mass is basically the content of any matter.what it is made of.
if the mass of the body is more that is more the volume increases. that is it is directly propotional
further -----------density=mass/volume
It was Archimedes who came up with the relationship while taking a bath. He found that .."When a body (Mass) is Totally or Partially Submerged in water, The Apparent Loss in 'Mass' (used to be 'weight' in the original statement), is Equal to the Mass of Water Displaced"...Having found this, he ran through the streets shouting.."Eureka !, Eureka !" ..(I've found it ! I've found it!).
The relationship of mass and volume is the Density of a substance i.e Mass per Unit Volume at a Specific Temperature and Pressure.
Using our old favourite of Water. It has been established as the Standard against which the mass and volume (Density) of all liquids and solids are compared.
The Density of Pure water at 4°C (its greatest density), is established as 1g/cc, 1.0kg/L, and 1,000kg/m³.
From this, the Specific Gravity (S.G.) of water is found to be 1.0 (no units) and, from this, if the S.G. of a solid or liquid is known, its Density and therefore its Mass can be calculated.
(For gases, Density is compared to that of clean, dry air at
0°C and normal atmospheric pressure at which, air has a Density of 1.29 kg/m³ and its S.G is set at 1.0 against which all other gases are compared).
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And the significance?
I have this Chemistry lab homework report which I couldn't start on... about displacement thing, where we put solids into liquids (in a cylinder), etc..
Answer:
Mass is only proportional to volume of the same substance under the same conditions.
Given a cube of lead and a cube of pine wood of the same size (say 1cm cubed) the lead would have the mass of about 11g, and the wood would have the mass of about 0.5g.
So, if you had examined the reading of the volume of water in a grad cylinder before (11mL) and submerged each you would see (12mL) after. However you would notice that the lead sunk to the bottom and the wood floated. This is due to the density of the objects. The displacement is 1mL for each, yeah the lead has more mass per volume so it is heavier than water and sinks. The wood has only half the mass as water with the same displacement, so it floats.
The significance is, if you want to make a boat of lead, you'd need to have it be hollow and leave a lot space so it would displace a greater volume of water.
mass/volume = density
Items less dense will float on items that are more dense for solid items.
Mass is a measure of the quantity of matter present in an object. Volume is a measure of how much space it occupies.
Mass can be measured on an instrument called a "balance" -- that is, the object whose mass is sought is placed on one side of a see-saw like device and smaller reference masses (objects) are placed on the other side until the balance swings freely at equilibrium.The volume of an object can sometimes be determined by measurement if its various dimensions followed by a calculation of its volume based on a suitable formula. For example, a box has a volume that is the product of its length, width, and height, V = L x W x H. It would be incorrect to assume that any small object is of low mass -- and just as incorrect to assume that any object of large volume is of necessity an object of high mass.
Density, d, is a comparison of an object's mass, m, to its volume ,V,
Thus, d = m / V It is in this relationship that mass and volume work together to give on a sense of "how big" something actually is. As you can see by examining the little formula, objects of high density will have a lot of mass occupying a relatively small volume. As mentioned above, it is incorrect to assume that an object of large volume is necessarily an object of large mass. Put another way, just because an object takes up a lot of space doesn't mean it will have a great mass. And vice versa: An object of small volume can have relatively great mass.
Consider a Ping-Pong ball and a golf ball. Both are of approximately the same volume. However, the golf ball has the greater mass and therefore the greater density.
Consider the box mentioned above: When empty, the box has a small mass compared to its mass when the box is filled with sand -- even though the volume is unchanged.
In simplest terms: Mass is a measure of the quantity of matter present in an object. Volume is a measure of how much space it occupies. As you can see, these terms do not mean the same thing.
The relationship between mass and volume is determined by the density of an object.
Density (kg/m3) = mass (kg) / volume (m3)
If two objects are of the same volume, the object with the higher density has the higher mass.
You can use displacement to calculate the density of an object as follows:
Weigh the object - this gives you the mass.
Drop the object into a measuring cylinder containing water. Make sure that the whole object is submerged. The volume of the object displaces the same volume of water.
e.g. Object is weighed at 250g = 0.25kg
The original water level showed 100ml.
With the object submerged, the new water level shows 300ml.
The object therefore has a volume of 200ml.
1ml = 1cm3 = 0.000001m3 = 10(-6)m3
The density is therefore 0.25 / (200 x 10(-6))
= 0.25 / 0.0002
= 1250 kg/m3
density = mass / volume
this is the relationship>>>>>>>>>>>>>>>>
mass is basically the content of any matter.what it is made of.
if the mass of the body is more that is more the volume increases. that is it is directly propotional
further -----------density=mass/volume
It was Archimedes who came up with the relationship while taking a bath. He found that .."When a body (Mass) is Totally or Partially Submerged in water, The Apparent Loss in 'Mass' (used to be 'weight' in the original statement), is Equal to the Mass of Water Displaced"...Having found this, he ran through the streets shouting.."Eureka !, Eureka !" ..(I've found it ! I've found it!).
The relationship of mass and volume is the Density of a substance i.e Mass per Unit Volume at a Specific Temperature and Pressure.
Using our old favourite of Water. It has been established as the Standard against which the mass and volume (Density) of all liquids and solids are compared.
The Density of Pure water at 4°C (its greatest density), is established as 1g/cc, 1.0kg/L, and 1,000kg/m³.
From this, the Specific Gravity (S.G.) of water is found to be 1.0 (no units) and, from this, if the S.G. of a solid or liquid is known, its Density and therefore its Mass can be calculated.
(For gases, Density is compared to that of clean, dry air at
0°C and normal atmospheric pressure at which, air has a Density of 1.29 kg/m³ and its S.G is set at 1.0 against which all other gases are compared).
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