# Ws for Non-Isothermal Processes

For all

,

,

,

#### polytropic

processes with ΔEpot = 0 and ΔEkin = 0:
As long as δ ≠ 1:
You can use this equation to evaluate the total non-PV work for processes that meet the following criteria :
• Any gas or liquid

,

,

,

#### polytropic

processes with ΔEpot = 0 and ΔEkin = 0
• δ ≠ 1
Roll your mouse over this box to close.
• Homework problem hints and answers
• Get Help from Dr. B in the LT Blog
• 120 day membership

Get it ALL for \$5 US

### Ch 8, Lesson B, Page 13 - Ws for Non-Isothermal Processes

• When δ is not equal to 1, we are analyzing a non-isothermal polytropic process.
• The integration is straightforward, but tedious.  Be careful, it is easy to make a mistake here.
• The result is short and sweet.
• WS,dot over mdot is equal to MINUS δ over the quantity δ - 1 times the quantity P2 V2,hat minus P1 V1,hat.
• That isn’t too bad, is it ?
• Just keep in mind all of the assumptions that we made to obtain this equation.
• Next, let’s see if we can simplify this equation any further when the system contains an ideal gas.