Heat transaction of a non-ideal gas

In summary, the article discusses how to calculate the changes in internal energy with changes in temperature and volume for a gas.
  • #1
Uthpala Kaushalya
8
0
Here I want to know how to find the heat interactions of non-ideal gases in the following processes.
1. Isobaric process
2. Isochoric process

I know that internal energy U depends on temperature and volume. And the enthalpy depends on temperature and pressure.
How calculation of heat transaction can be calculated? and what's the connection between following taylor series expansion with calculating the heat interaction.

U(T,V)
U(T+T, V+V) = U(T,V) + ∂u/∂ t |v * T + ∂u/∂v |T * V + Higher Terms
 
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  • #2
Why don't use the heat capacities of the gases, as functions of T and P?
Are talking about actual gases or just about a model of non-ideal gas (like Van der Waals)?
If it's a specific gas (like nitrogen) you may need to find some actual values of parameters for that gas rather than using a general formula.
Here is a paper that may help.
http://journals.aps.org/pr/pdf/10.1103/PhysRev.34.1615
 
Last edited by a moderator:
  • #3
You would like to have an equation for calculating the changes internal energy with changes in temperature and volume for a non-ideal gas. Is that correct? In this equation, you would like everything expressed in terms of known functions like heat capacity and p-v-T behavior?
 
  • #4
Chestermiller said:
You would like to have an equation for calculating the changes internal energy with changes in temperature and volume for a non-ideal gas. Is that correct? In this equation, you would like everything expressed in terms of known functions like heat capacity and p-v-T behavior?
Yes :)
 
  • #5
nasu said:
Why don't use the heat capacities of the gases, as functions of T and P?
Are talking about actual gases or just about a model of non-ideal gas (like Van der Waals)?
If it's a specific gas (like nitrogen) you may need to find some actual values of parameters for that gas rather than using a general formula.
Here is a paper that may help.
http://journals.aps.org/pr/pdf/10.1103/PhysRev.34.1615
This article cannot be read. Should I buy this?
 
Last edited by a moderator:
  • #6
No, you should be able to find other articles that have free access. I don't think this is a very rare topic.
 
  • #7
The following equation is in every thermo book:
$$dU=C_vdT-\left[P-T\left(\frac{\partial P}{\partial T}\right)_V\right]dV$$
 

1. What is a non-ideal gas?

A non-ideal gas is a gas that does not follow the ideal gas law, which is based on the assumptions that the gas particles have no volume and do not interact with each other. Non-ideal gases deviate from this behavior due to factors such as intermolecular forces and non-uniform temperatures.

2. How does heat transfer occur in a non-ideal gas?

In a non-ideal gas, heat transfer occurs through conduction, convection, and radiation. Conduction is the transfer of heat through direct contact between particles, convection is the transfer of heat through the movement of particles, and radiation is the transfer of heat through electromagnetic waves.

3. What is the effect of intermolecular forces on heat transfer in a non-ideal gas?

Intermolecular forces, such as van der Waals forces, can affect the heat transfer in a non-ideal gas by causing the particles to interact with each other, thereby altering their movement and resulting in non-uniform temperatures. This can lead to deviations from the ideal gas law and affect heat transfer processes.

4. How does temperature affect heat transfer in a non-ideal gas?

Temperature plays a significant role in heat transfer in a non-ideal gas. As the temperature of a gas increases, the particles move faster and collide more frequently, leading to increased heat transfer through conduction and convection. Higher temperatures can also cause changes in the behavior of intermolecular forces, which can affect heat transfer processes.

5. Can the heat transfer of a non-ideal gas be accurately predicted?

Predicting the heat transfer of a non-ideal gas can be challenging due to the complex interactions between particles and factors such as temperature and intermolecular forces. However, with the use of mathematical models and equations, scientists can make accurate predictions of heat transfer in non-ideal gases by taking into account these various factors.

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