Question's Diagram: Am I Right?

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The discussion revolves around a diagram related to the condensation of an ideal gas, with participants clarifying terminology and units. There is a correction regarding the use of "condense" versus "compress," highlighting the importance of precise language in scientific contexts. Participants also note that using non-SI units like atm and liters is acceptable for this problem, which can simplify calculations. The need to verify whether a point is a maximum or minimum is emphasized, suggesting the use of a derivative test for confirmation. Overall, the conversation focuses on ensuring clarity and accuracy in the analysis of the gas behavior.
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Homework Statement
We condense some ideal gas from a volume of 30 liters and a pressure of 1 atmosphere to a volume of 10 liters and a pressure of 2 atmospheres. What is the volume of the gas when its temperature is maximum?
Relevant Equations
pV=nRT
Hello. This is question's diagram.
1674331087276.png

Can someone tell me if I am wrong ?

1674332589798.png
 
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Looks ok, except that you did not check that it is a maximum. Could be a local minimum, in which case either the starting or finishing temperature would be the max.
 
MatinSAR said:
Homework Statement:: We condense some ideal gas
Presumably you mean 'compress'. 'Condense' means something different!

In addition to what @haruspex already said...

It's not necessary to use SI units here. You can work in 'atm' and 'lit' (though 'lit' is not a common abbreviation for litres) and you will get the same answer. It's less messy.

For example, the gradient of the line can immediately be written as ##\frac {-1}{20}## (corresponding to units of atm/lit).

Try it – and check you understand why it works here.
 
haruspex said:
Looks ok, except that you did not check that it is a maximum. Could be a local minimum, in which case either the starting or finishing temperature would be the max.
I will use derivative test to prove it.
Thanks alot for your help.
Steve4Physics said:
Presumably you mean 'compress'. 'Condense' means something different!
Sorry! I haven't spoken English for a long time and I didn't remember the correct word so I used google translate ...
Steve4Physics said:
It's not necessary to use SI units here. You can work in 'atm' and 'lit' (though 'lit' is not a common abbreviation for litres) and you will get the same answer. It's less messy.
Yes, thanks, I use SI units when I'm not sure if it's correct to use non-SI units.
Steve4Physics said:
For example, the gradient of the line can immediately be written as −120 (corresponding to units of atm/lit).

Try it – and check you understand why it works here.
Thanks alot for your help ...
I will try this and I hope I will get similar result.
 
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