Difference between revisions of "Molar heat capacity"

(url)
(restyled/rewrote page source for easier editing/reading and added first sentence and categorized page)
 
Line 1: Line 1:
Adding heat to a substance changes its temperature in accordance to <cmath>\Delta Q=nc_M\Delta T</cmath>
+
The molar heat capacity is the amount of energy required to change the temperature of an amount of substance by a certain amount per moles of the substance and change in temperature.
<math>\Delta Q=</math> change in heat
+
 
<br />
+
Adding [[heat]] to a substance changes its temperature in accordance to <cmath>\Delta Q=nc_M\Delta T,</cmath>
<math>n=</math> moles of substance
+
 
<br />
+
where
<math>c_M=</math> molar heat capacity
+
<math>\Delta Q</math> is the change in heat, <math>n</math> is the number of moles of substance, <math>c_M</math> is the molar heat capacity, and
<br />
+
<math>\Delta T</math> is the change in temperature.
<math>\Delta T=</math> change in temperature
+
 
<br />
+
At constant volume, <math>c_M=c_V</math>. At constant pressure, <math>c_M=c_P</math>.
<br />
+
 
At constant volume, <math>c_M=c_V</math>.
+
For an ideal gas, <math>c_P=c_V+R</math> where <math>R=</math> the ideal gas constant. For an incompressible substance, <math>c_P=c_V</math>.
<br />
+
 
At constant pressure, <math>c_M=c_P</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>.
<br />
+
 
<br />
+
== See Also ==
For an ideal gas, <math>c_P=c_V+R</math> where <math>R=</math> the ideal gas constant.
+
*An excellent derivation of the last equation can be found [https://www.animations.physics.unsw.edu.au/jw/Adiabatic-expansion-compression.htm here].
<br />
+
* [[Heat]]
For an incompressible substance, <math>c_P=c_V</math>.
+
* [[Thermodynamics]]
<br />
+
 
<br />
+
 
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].
+
[[Category: Physics]]
 +
{{stub}}

Latest revision as of 11:02, 1 August 2020

The molar heat capacity is the amount of energy required to change the temperature of an amount of substance by a certain amount per moles of the substance and change in temperature.

Adding heat to a substance changes its temperature in accordance to \[\Delta Q=nc_M\Delta T,\]

where $\Delta Q$ is the change in heat, $n$ is the number of moles of substance, $c_M$ is the molar heat capacity, and $\Delta T$ is the change in temperature.

At constant volume, $c_M=c_V$. At constant pressure, $c_M=c_P$.

For an ideal gas, $c_P=c_V+R$ where $R=$ the ideal gas constant. For an incompressible substance, $c_P=c_V$.

In adiabatic compression ($\Delta Q=0$) of an ideal gas, $PV^\gamma$ stays constant, where $\gamma=\frac{c_V+R}{c_V}$.

See Also

This article is a stub. Help us out by expanding it.

Invalid username
Login to AoPS