Question's Diagram: Am I Right?

[MatinSAR]

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.

Can someone tell me if I am wrong ?

 

[haruspex]

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.

 

[Steve4Physics]

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.

 

[MatinSAR]

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.

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 ...

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.

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.