Say there is a vessel with constant volume

In summary, the conversation discusses designing an experiment to measure (dS/dP) at constant volume in a vessel. The idea is to transform (dS/dP)v into an equation with Cp, V, P, and T only, and then measure the small difference in T or P to substitute into the equation. This can be done by finding a way to vary the pressure and measure the entropy, and then plotting S vs P and taking the slope. The equation for dH is used to eliminate VdP and determine the next steps for the experiment.
  • #1
GGdog0818
4
0
Say there is a vessel with constant volume. We know the EOS, moles and Cp of the vapor in it. How can we design an experiment to measure the (dS/dP) at constant V?

I think the idea is to transform (dS/dP)v into something that consists of Cp, V,P,T only. Then we can measure the small difference in T or P to substitute into equation and get (dS/dP)v.

But how? Anyone has an opinion?

THX
 
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  • #2
Welcome to PF;
Directly: dS/dP is the slope of the S vs P graph isn't it?

Well, you could find a way to vary the pressure and measure the entropy - plot S vs P and take the slope.
How you do that, and cope with the complications, determines the experiment.
 
  • #3
Start with the equation for dH expressed in terms of dT and dP, and set this equal to TdS + VdP. Then eliminate VdP from both sides, and you will see what to do next.
 

FAQ: Say there is a vessel with constant volume

What is a vessel with constant volume?

A vessel with constant volume is a container or space that maintains the same volume, meaning it does not change in size or shape. This can be achieved through various mechanisms such as rigid walls, constant pressure, or controlled temperature.

How does a vessel with constant volume affect experiments?

A vessel with constant volume is often used in scientific experiments to control the conditions and ensure that the volume of the system remains constant. This allows for more accurate and reproducible results.

What are the advantages of using a vessel with constant volume?

One of the main advantages of using a vessel with constant volume is that it helps to eliminate any fluctuations or variations in volume, allowing for more precise measurements and observations. It also helps to maintain a stable environment, which is important for certain experiments.

Can a vessel with constant volume be used in any type of experiment?

While a vessel with constant volume can be beneficial in many experiments, it may not be suitable for all types of experiments. Some experiments may require changes in volume or pressure to observe certain reactions or phenomena.

How is the volume of a vessel with constant volume measured?

The volume of a vessel with constant volume can be measured using various techniques such as displacement, gravimetric analysis, or direct measurement with a ruler or graduated cylinder. The specific method will depend on the type of vessel and the experiment being conducted.

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