Specific heat capacity for a monocromatic gas

In summary, there are different ways of considering the specific heat capacity of a material, such as from a microscopic or macroscopic perspective. For a monocromatic gas, the equation is c=(3/2)*n*R*m, where m is the mass of the particle, n is the number of moles, and R is the gas constant. At low temperatures, the heat capacity decreases towards zero due to quantum effects, but at higher temperatures it becomes a constant value. The theories of Einstein and Debye explain this phenomenon. To learn more, you can look up the Einstein/Debye explanation and formulas.
  • #1
gemt
7
0
is there another way of considering the specific heat capaciaty of a material (many gas) other than with respect to the number of degrees of freedom with gives a constant out put for all monocrmatic gases for all temperature and pressure.

For a monocromatic gas c=(3/2)*n*R*m

where m = mass of particle
n = number of moles
R = gas constant

Any pointers in the right direction would be much appreciated.

Thank you.
 
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  • #2
Are you looking for just a microscopic representation or macroscopic? There are several ways of modeling a substance's specific heat that does vary with temperature and state. Unfortunately I don't know the science behind this (Im just an engineer) for the microscopic point of view only the macro.
 
  • #3
gemt said:
(snip)For a monocromatic gas c=(3/2)*n*R/m
where m = mass of particle
n = number of moles
R = gas constant
(snip).

See Einstein and Debye plus heat capacity.
 
  • #4
The heat capacity is only a constant value after and beyond reaching a certain temperature. At low temperatures, the value of the heat capacity rapidly drops off towards zero due to quantum effects. As someone mentioned see the Einstein/Debye explanation for more.
 
  • #5
can anyone recommend the best place to llok the einstein debye explanation & formulas up please?
 

1. What is specific heat capacity for a monocromatic gas?

The specific heat capacity for a monocromatic gas is the amount of energy required to raise the temperature of one mole of the gas by one degree Celsius.

2. How is specific heat capacity for a monocromatic gas measured?

Specific heat capacity for a monocromatic gas is typically measured using a calorimeter, which is a device that can accurately measure the heat flow into or out of a substance.

3. What factors affect the specific heat capacity for a monocromatic gas?

The specific heat capacity for a monocromatic gas can be affected by factors such as the gas's molecular weight, molecular structure, and temperature.

4. Why is specific heat capacity for a monocromatic gas important in scientific research?

Specific heat capacity for a monocromatic gas is important in scientific research because it helps determine the energy requirements for chemical reactions and physical changes in gases, and can also provide insights into the properties of different gases.

5. How can specific heat capacity for a monocromatic gas be used in practical applications?

Specific heat capacity for a monocromatic gas can be used in practical applications such as designing heating and cooling systems, determining the efficiency of engines, and understanding the behavior of gases in various industrial processes.

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