Thermodynamics, confused with definitions

In summary, the conversation discusses the relationship between dU, dQ, and dW, and how it relates to the central equation TdS = dU + PdV. It is noted that PdV is 0 at constant volume, and this is further explained using the concept of exact differentials and partial derivatives. The conclusion is that for a general change in U, both terms are needed, but at constant volume or entropy, one term will be 0.
  • #1
Chronos000
80
0

Homework Statement



dU = dQ + dW

so dU = Cv dT... but only if dW is zero right? as dQ = CvdT

so then the central equation is

TdS = dU + PdV

which is then TdS = CvdT + PdV according to my notes. surely PdV should be zero no?
 
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  • #2
What is pdV at constant volume?
 
  • #3
it is zero right?
 
  • #4
yes, but why?
 
  • #5
dV means change of volume, no change, dV = 0
 
  • #6
my notes have further manipulated this term though, which does't seem right if its zero
 
  • #7
So pdV is 0 if volume is held constant, does that mean it is always 0?

remember we may write any function of state as an exact differential, for example

[tex] dU = (\frac{\partial{U}}{\partial{S}})_{V}dS + (\frac{\partial{U}}{\partial{V}})_{s}dV [/tex]

obviously at constant S one of these terms is 0, and at constant V the other is 0, but for a general change in U we need both
 

FAQ: Thermodynamics, confused with definitions

What is the difference between heat and temperature?

Heat is the transfer of thermal energy from one object to another, while temperature is a measure of the average kinetic energy of the particles in a substance. In other words, heat is the energy being transferred, while temperature is a measure of the intensity of that energy.

What is the first law of thermodynamics?

The first law of thermodynamics, also known as the law of conservation of energy, states that energy cannot be created or destroyed, only transferred or converted from one form to another. This means that the total energy in a closed system remains constant.

What is the difference between an open and closed system?

An open system is one that allows energy and matter to be exchanged with its surroundings, while a closed system does not allow for the exchange of matter, but can exchange energy with its surroundings. In thermodynamics, closed systems are often used to analyze the flow of energy.

What is entropy and how does it relate to thermodynamics?

Entropy is a measure of the disorder or randomness in a system. In thermodynamics, it is often referred to as the measure of the unavailable energy in a system. The second law of thermodynamics states that the total entropy of a closed system will always increase over time.

Can you explain the concept of enthalpy?

Enthalpy is a measure of the total energy of a system, including both its internal energy and the energy required to push back the surrounding pressure. It is often used in thermodynamics to analyze systems at constant pressure, such as in chemical reactions or phase changes.

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