Thermodynamics of a adiabatic system with degrees of freedom

In summary, an adiabatic system is a closed system without any heat exchange, allowing for temperature changes without heat flow. Degrees of freedom in thermodynamics refer to the number of ways a system can store and transfer energy. In an adiabatic system, the first law of thermodynamics applies and the change in internal energy is equal to the work done by the system. Degrees of freedom are important in understanding a system's behavior and its ability to do work. The adiabatic temperature changes inversely with degrees of freedom, meaning as degrees of freedom increase, temperature decreases and vice versa.
  • #1
heyhey1233
3
0
In an adiabatic process 16 J of work are done on each mole
of a gas. If the gas has 5 degrees of freedom, how much
does its temperature change? Answer in terms of R


I know the answer is 6.4/R (K), but don't quite sure understand the the theory or math behind it.
 
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  • #2
You can use the first law (principle) and formula for the variation of internal energy of an ideal gas.
 

1. What is an adiabatic system?

An adiabatic system is a closed system that does not exchange heat with its surroundings. This means that the system has a constant internal energy and its temperature can change without any heat flow in or out of the system.

2. What are degrees of freedom in thermodynamics?

Degrees of freedom refer to the number of independent ways in which a system can store and transfer energy. In thermodynamics, degrees of freedom are often used to describe the number of possible ways in which a system can move or vibrate.

3. How does thermodynamics apply to an adiabatic system?

In an adiabatic system, the first law of thermodynamics applies, which states that the change in internal energy of a system is equal to the amount of heat added to the system minus the work done by the system. In an adiabatic system, since there is no heat exchange, the change in internal energy is equal to the work done by the system.

4. What is the importance of degrees of freedom in thermodynamics?

Degrees of freedom play a crucial role in understanding the behavior of a system in thermodynamics. They help determine the amount of energy that a system can store and transfer, as well as the ability of the system to do work.

5. How does the adiabatic temperature change with degrees of freedom?

According to the adiabatic process equation, the change in temperature of an adiabatic system is inversely proportional to the number of degrees of freedom. This means that as the degrees of freedom increase, the temperature decreases, and vice versa.

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