Difference between revisions of "Molar heat capacity"
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| − | In adiabatic compression (<math>\Delta Q=0</math>) of an ideal gas, <math>PV^\gamma</math> stays constant, where <math>\gamma=\frac{c_V+R}{c_V}</math>. | + | In adiabatic compression (<math>\Delta Q=0</math>) of an ideal gas, <math>PV^\gamma</math> stays constant, where <math>\gamma=\frac{c_V+R}{c_V}</math>. An excellent derivation of this can be found [https://www.animations.physics.unsw.edu.au/jw/Adiabatic-expansion-compression.htm here]. |
Revision as of 05:35, 27 November 2019
Adding heat to a substance changes its temperature in accordance to ![\[\Delta Q=nc_M\Delta T\]](http://latex.artofproblemsolving.com/7/3/1/7316904398b9b9c0ab639077af0cfbd3a25be455.png)
change in heat
moles of substance
molar heat capacity
change in temperature
At constant volume, 
.
At constant pressure, 
.
For an ideal gas, 
where 
the ideal gas constant.
For an incompressible substance, 
.
In adiabatic compression (
) of an ideal gas, 
stays constant, where 
. An excellent derivation of this can be found here.
