Open main menu
Home
Random
Recent changes
Special pages
Community portal
Preferences
About Wikipedia
Disclaimers
Incubator escapee wiki
Search
User menu
Talk
Dark mode
Contributions
Create account
Log in
Editing
Standard molar entropy
(section)
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
==Thermodynamics== If a [[mole (unit)|mole]] of a solid substance is a perfectly ordered solid at 0{{nbsp}}K, then if the solid is warmed by its surroundings to 298.15{{nbsp}}K without melting, its absolute molar entropy would be the sum of a series of {{mvar|N}} stepwise and reversible entropy changes. The limit of this sum as <math>N \rightarrow \infty </math> becomes an integral: :<math>S^\circ = \sum_{k=1}^N \Delta S_k = \sum_{k=1}^N \frac{dQ_k}{T} \rightarrow \int _0 ^{T_2} \frac{dS}{dT} dT = \int _0 ^{T_2} \frac {C_{p_k}}{T} dT</math> In this example, <math>T_2 =298.15 K </math> and <math>C_{p_k}</math> is the [[molar heat capacity]] at a constant pressure of the substance in the [[reversible process (thermodynamics)|reversible process]] {{mvar|k}}. The molar heat capacity is not constant during the experiment because it changes depending on the (increasing) temperature of the substance. Therefore, a table of values for <math>\frac{C_{p_k}}{T}</math> is required to find the total molar entropy. The quantity <math>\frac{dQ_{k}}{T}</math> represents the ratio of a very small exchange of heat energy to the temperature {{mvar|T}}. The total molar entropy is the sum of many small changes in molar entropy, where each small change can be considered a reversible process.
Edit summary
(Briefly describe your changes)
By publishing changes, you agree to the
Terms of Use
, and you irrevocably agree to release your contribution under the
CC BY-SA 4.0 License
and the
GFDL
. You agree that a hyperlink or URL is sufficient attribution under the Creative Commons license.
Cancel
Editing help
(opens in new window)