Statistical Physics: Solving Homework on Ideal Gas Heat Transfer

In summary, the heat transfer in an infinitesimal quasistatic process of an ideal gas can be written as dQ = 1/nR (C_V * V * dP + C_p * p * dV), where n is the number of moles, R is the gas constant, and C_V and C_p are the specific heats at constant volume and pressure respectively. This is derived from the first law of thermodynamics and the ideal gas law PV = nRT.
  • #1
Hymne
89
1

Homework Statement


For an ideal gas PV = nRT, n is the number of moles. Show that the heat transfer in an infinitesimal quasistatic process of an ideal gas can be written as:
dQ = 1/nR ( C_v * V * dP + C_p * p * dV)


Homework Equations


First law of thermodynamics: dQ = dE + pdv
(dE / dT)_P,V = C_P,V
Ideal gas PV = nRT


The Attempt at a Solution


I have tried back and forth with these equations but does not get closer..
 
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  • #2
dQ = dE + pdv dE / dT = C_P,V dE / dT = nC_P,V dE = nC_P,V dT dQ = nC_P,V dT + pdV PV = nRT dQ = nC_P,V dT + pdV dQ = nC_P,V (VdP/RT) + pdV dQ = 1/nR (C_V * V * dP + C_p * p * dV)
 

Related to Statistical Physics: Solving Homework on Ideal Gas Heat Transfer

1. What is statistical physics and how does it relate to ideal gas heat transfer?

Statistical physics is a branch of physics that uses statistical methods to study the behavior of large systems of particles. It is particularly useful in understanding the behavior of gases, including heat transfer in ideal gases. Ideal gases are a simplified model of gases that follow the basic gas laws and do not interact with each other.

2. How do I solve homework problems on ideal gas heat transfer?

To solve homework problems on ideal gas heat transfer, you will first need to understand the basic concepts and equations related to ideal gases and heat transfer. This includes the ideal gas law, the first and second laws of thermodynamics, and the equations for heat transfer, such as conduction, convection, and radiation. You will then need to apply these concepts and equations to the specific problem at hand.

3. What are some common techniques used in solving homework problems on ideal gas heat transfer?

Some common techniques used in solving homework problems on ideal gas heat transfer include using the ideal gas law, applying the first and second laws of thermodynamics, using equations for heat transfer, and using mathematical methods such as integration or differentiation. It is also important to carefully read and understand the problem and make any necessary assumptions or simplifications.

4. How can I check my solutions to homework problems on ideal gas heat transfer?

The best way to check your solutions to homework problems on ideal gas heat transfer is to use a variety of methods. This can include checking your calculations, verifying that your answer makes physical sense, and comparing your results to known solutions or experimental data. It is also helpful to have someone else review your work to catch any mistakes or provide feedback.

5. What are some real-world applications of statistical physics in understanding ideal gas heat transfer?

Statistical physics and the study of ideal gas heat transfer have many real-world applications. For example, they can be used to understand the behavior of gases in engines and other industrial processes, to design and optimize heat exchangers for efficient energy transfer, and to model and predict the behavior of gases in planetary atmospheres. They are also crucial in fields such as materials science, chemical engineering, and atmospheric science.

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