How to find composition using Specific HEat

In summary, the conversation involves discussing the possibility of solving an inverse problem related to specific heat and composition. The individual mentions the need to assume a model for specific heat and use a model equation to solve for unknown compositions. They also provide an example involving copper and iron with specific heat values and ask for guidance on solving the inverse problem, to which they are told to figure it out on their own.
  • #1
IS it possible?
say if the specific heat is 800
and the composition is made up of 2 materials
one which has specific heat of 850
and the other of 750
 
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  • #2
Its an inverse problem.

You'd need to assume a model for the specific heat as a function of composition and the specific heats of the pure materials, and use the model equation to solve for the unknown compositions.
 
  • #3
hmmm

say if it was made out of copper n iron
copper having 400 specific heat heat capacity
Iron having 890 specific heat
and the mixture had 780 specific heat capacity
^ assume the values are that
can u show me how to do the inverse problem to find the composition?
 
  • #4
no one is going to show you how to do anything.

you need to figure it out on your own.
 
  • #5


Yes, it is possible to find the composition of a material using specific heat. Specific heat is a measure of the amount of heat required to raise the temperature of a substance by a certain amount. In order to find the composition of a material, we can use the following equation:

Specific heat of mixture = (mass of material 1 * specific heat of material 1) + (mass of material 2 * specific heat of material 2)

In this case, if the specific heat of the mixture is 800 and we know that it is made up of two materials with specific heats of 850 and 750, we can rearrange the equation to solve for the mass of each material. This will give us the composition of the material.

800 = (mass of material 1 * 850) + (mass of material 2 * 750)

We can then use algebra to solve for the mass of each material and determine the composition of the mixture. This method can be used for any number of materials in a mixture, as long as their specific heats are known.
 

What is specific heat and how is it related to composition?

Specific heat is a measure of the amount of heat required to raise the temperature of a substance by a certain amount. It is directly related to the composition of a substance, as different substances have different specific heat values. This means that the composition of a substance can affect how much heat it can absorb or release.

How can we use specific heat to find the composition of a substance?

To find the composition of a substance using specific heat, we need to first measure the specific heat of the substance. Then, we can use this value to calculate the molar heat capacity, which is dependent on the composition of the substance. By comparing the molar heat capacity to known values for different substances, we can determine the composition of the substance in question.

What are the limitations of using specific heat to find composition?

While specific heat can be a useful tool in determining the composition of a substance, it does have some limitations. It assumes that the substance is pure and does not take into account any impurities or mixtures. It also requires precise measurements and can be affected by external factors such as pressure and temperature changes.

Can specific heat be used to find the composition of all substances?

No, specific heat can only be used to find the composition of substances that have known values for molar heat capacity. Some substances, such as polymers and mixtures, do not have these values readily available and therefore cannot be accurately determined using specific heat.

Are there any other methods for finding composition besides using specific heat?

Yes, there are other methods for finding composition such as spectroscopy, chromatography, and elemental analysis. These methods can be more accurate and versatile than using specific heat, but they also require specialized equipment and expertise. The method chosen depends on the specific substance and its properties.

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