The notes are for the thermodynamics in chemistry. They explain the adiabatic processes in detail and also they consists of worked examples and self test exercises
, The pressure-volume relationship for ideal, reversible adiabatic expansion of a
gas
Pext2
counterweight
Pext1 P2
P1
Thermally insulated wall
P1, V1, T1 → P2, V2, T2
Heat cannot flow into or out of system: dq =0
From first law of thermodynamics : dU = dq + dw
dU = dw (1)
For reversible expansion of n moles of ideal gas, the infinitesimal change in internal
energy (dU) wil cause infinitesimal change in temperature (dT):
𝑑𝑈 = 𝑛𝐶𝑣 𝑑𝑇
(2)
The infinitesimal work done (dw) will cause infinitesimal volume change (dV)
𝑑𝑤 = −𝑃𝑑𝑉
The expansion is for an ideal gas under reversible condition. The ideal gas equation
is therefore incorporated:
1
𝑑𝑤 = −𝑛𝑅𝑇 ( ) 𝑑𝑉
𝑉
(3)
From equa 1 condition, equations 2 and 3 can be set equal:
1
𝑛𝐶𝑣 𝑑𝑇 = −𝑛𝑅𝑇 ( ) 𝑑𝑉
𝑉
(4)
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller joseph2001. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $5.86. You're not tied to anything after your purchase.