(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Two moles of a particular single-component system are found to have a dependence of internal energy U on pressure and volume given by [itex]U=APV^2[/itex] (for N=2) where [itex]A=10cm ^{-3}[/itex]. Note that doubling the system doubles the volume, energy, and the mole number but leaves the pressure unaltered, and write the complete dependence of U on P, V and N for arbitrary mole number. Answer: [itex]U=BPV^2/N[/itex] where [itex]B=20 cm ^3[/itex].

2. Relevant equations

Not sure there are any. To be found.

3. The attempt at a solution

First I tried to understand the problem and makes sense of the given expression [itex]U=APV^2[/itex]. I checked out the units in SI units and instead of joule I reach [itex]Jm^2[/itex]. So that this expression doesn't make sense to me, I cannot even proceed further.

The book is considered of one of the most cited apparently for thermodynamics so I'm sure the book is right and I'm missing something. I just don't know what I'm missing, any help is appreciated.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Thermodynamics, Callen's problem, it doesn't make sense to me

**Physics Forums | Science Articles, Homework Help, Discussion**