Thermodynamics -- mono and diatomic gases

In summary, the problem involves four processes with one mole of either mono- or di-atomic gas and the same amount of heat being absorbed or discharged. The question is which processes belong to which type of gas. The equations to be used are unknown, but considering the degrees of freedom, the molar heat capacity at constant volume is f/2 R, where f is the number of degrees of freedom. The molar heat capacity at constant volume for a monoatomic gas is 3/2R and for a diatomic gas is 7/2R, and the change in temperature is inversely proportional to the heat capacity. The heat capacity at constant pressure is equal to R plus the heat capacity at constant volume (Cp =
  • #1
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Homework Statement


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The 4 processes involve one mole of either mono- or di-atomic gas with the same amount of heat (absorbed or discharged)

•Which belong to the mono and which to the diatomic gas?

Homework Equations


i don't know which equations I should use and how start solving it..
I started thinking by taking into consideration the degrees of freedom of each but it didn't work
 
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What is the molar heat capacity at constant volume for a monoatomic gas? What is the molar heat capactiy at constant volume for a diatomic gas?
 
  • #3
Chestermiller said:
What is the molar heat capacity at constant volume for a monoatomic gas? What is the molar heat capactiy at constant volume for a diatomic gas?
(molar heat capacity at constant volume=f/2 R where f is then number of degrees of freedom) I think it should be 3/2R for monoatomic and 7/2Rfor diatomic and delta T is inversly proportional to heat capacity. Similarly for heat capacity at constant pressure (Cp=R+Cv) so diatomic will get a lower temprature than monoatomic ones so 1,3 monoatomic and 2,4 diatomic
Correct?
 

1. What is the difference between monoatomic and diatomic gases in thermodynamics?

Monoatomic gases are made up of single atoms, such as helium or neon, while diatomic gases are made up of two atoms bonded together, such as oxygen or nitrogen. In thermodynamics, the main difference between these two types of gases is the number of degrees of freedom, or possible ways the molecules can move, which affects their energy and behavior.

2. How do the laws of thermodynamics apply to monoatomic and diatomic gases?

The laws of thermodynamics apply to both monoatomic and diatomic gases, as they are fundamental principles that govern the behavior of all matter. These laws include the conservation of energy, the increase of entropy, and the impossibility of achieving absolute zero temperature.

3. How is the internal energy of a monoatomic gas related to its temperature?

The internal energy of a monoatomic gas is directly proportional to its temperature, according to the ideal gas law. This means that as the temperature of a monoatomic gas increases, so does its internal energy. However, for diatomic gases, the relationship is more complex due to the additional degrees of freedom.

4. Can monoatomic and diatomic gases have the same temperature and pressure, but different internal energies?

Yes, this is possible because the internal energy of a gas is dependent on its temperature, pressure, and volume. Therefore, two gases with the same temperature and pressure can have different internal energies if their volumes are different. This is because the internal energy takes into account the potential energy of the molecules, which is affected by the volume of the gas.

5. How does the heat capacity of diatomic gases differ from that of monoatomic gases?

The heat capacity of diatomic gases is generally higher than that of monoatomic gases. This is because diatomic gases have more degrees of freedom, which means they can store more energy in the form of heat. As a result, diatomic gases require more energy to increase their temperature compared to monoatomic gases.

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