Question's Diagram: Am I Right?

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In summary, the conversation discusses a question about condensing an ideal gas and checking if it is a maximum or a local minimum. It is suggested to use derivative test and work with non-SI units to get a less messy answer.
  • #1
MatinSAR
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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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  • #2
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.
 
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  • #3
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.
 
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  • #4
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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FAQ: Question's Diagram: Am I Right?

What is "Question's Diagram: Am I Right?"

"Question's Diagram: Am I Right?" is a conceptual framework or tool used to visually represent and analyze the structure and components of a question to determine its validity, relevance, and clarity.

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In research, "Question's Diagram: Am I Right?" can be used to break down complex questions into simpler parts, ensuring that each component is logically sound and relevant to the research objectives. This helps in formulating precise and effective research questions.

What are the key components of "Question's Diagram: Am I Right?"

The key components typically include the main question, sub-questions, assumptions, context, and the criteria for determining the correctness or relevance of the question. Each component is analyzed to ensure the overall question is robust and meaningful.

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The benefits include improved clarity and focus in question formulation, enhanced ability to identify and address underlying assumptions, and a structured approach to evaluating the relevance and validity of questions. This leads to more effective communication and problem-solving.

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