Editing Heat capacity
Jump to navigation
Jump to search
The edit can be undone. Please check the comparison below to verify that this is what you want to do, and then publish the changes below to finish undoing the edit.
Latest revision | Your text | ||
Line 1: | Line 1: | ||
The '''heat capacity''' is | From the [[first law of thermodynamics]] one has | ||
:<math>\left.\delta Q\right. = dU + pdV</math> | |||
where <math>Q</math> is the [[heat]], <math>U</math> is the [[internal energy]], <math>p</math> is the [[pressure]] and <math>V</math> is the volume. | |||
The '''heat capacity''' is given by the differential of the heat with respect to the [[temperature]], | |||
:<math>C := \frac{\delta Q}{\partial T} = T \frac{\partial S}{\partial T}</math> | :<math>C := \frac{\delta Q}{\partial T} = T \frac{\partial S}{\partial T}</math> | ||
where | where <math>S</math> is the [[entropy]]. | ||
==At constant volume== | ==At constant volume== | ||
At constant volume (denoted by the subscript <math>V</math>), | |||
:<math>C_V := \left.\frac{\delta Q}{\partial T} \right\vert_V = \left. \frac{\partial U}{\partial T} \right\vert_V </math> | :<math>C_V := \left.\frac{\delta Q}{\partial T} \right\vert_V = \left. \frac{\partial U}{\partial T} \right\vert_V </math> | ||
==At constant pressure== | ==At constant pressure== |