/sci/ - Science & Math

[Anonymous No.12272051]

How do you calculate the work done by an ideal gas when pressure is dependent on both the volume and temperature of the gas? I've looked through Wikipedia and Fundamentals of Physics, but both of them gave formulas for work when at least one of the variables in pV = nRT was constant.

[Anonymous No.12272114]

>>12272051
by using a table of thermodynamic properties and integrating numerically

[Anonymous No.12272155]

>>12272114
I really wanted to avoid doing stuff numerically so that's disappointing, but thanks

[Anonymous No.12272157]

>>12272155
Free energy F?

[Anonymous No.12272466]

>>12272051
https://en.wikipedia.org/wiki/Polytropic_process

[Anonymous No.12272488]

>>12272051
https://en.wikipedia.org/wiki/Adiabatic_process

[Anonymous No.12272497]

>>12272114
you don't need to do that. just sub in:>>12272488

[Anonymous No.12272548]

>>12272051

There are a variety of relationships between volume and pressure for a given total work done depending on the application.

In practice, to find the relationship between pressure and volume at each temp is no more or less experimentally difficult than just measuring the work done directly. So given that you want the total work done, just measure it.
If it is for a project that is too huge to do experimentally, your best bet is >>12272114 for the closest configuration.

Nothing in the real world is adiabatic or polytropic and both still require you to know n.

[Anonymous No.12272575]

>>12272051
>>12272114
>>12272155
>>12272488
>>12272466
>>12272548

Based mechanical engineer Chads.

[Anonymous No.12272600]

>>12272575
>mech eng
very cringe

[Anonymous No.12272660]

>>12272600
Who are you? Nobody has ever heard of you!