I don't understand the calculus behind this thermodynamics concept:(adsbygoogle = window.adsbygoogle || []).push({});

S = f(T,P)

dS = (∂S/∂T)_P*dT + (∂S/∂P)_T*dP

(∂S/∂T)_V = (∂S/∂T)_P + (∂S/∂P)_T*(∂P/∂T)_V

Basically, I don't get why and how you get (∂S/∂T) when you divide dS by dT. Also, I don't understand why the constant volume "_V" appears.

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Total derivative to partial derivative by division? (Calc./Thermo.)

Loading...

Similar Threads - Total derivative partial | Date |
---|---|

I Partial derivative of a total derivative | Nov 8, 2016 |

I How to logically derive the total derivative formula? | Sep 7, 2016 |

Difference of total derivative and partial derivative | Aug 16, 2014 |

What is a function, when you consider the partial/total derivative? | Feb 27, 2014 |

Is there such a thing as a total partial derivative? | Jun 25, 2013 |

**Physics Forums - The Fusion of Science and Community**