Kinetics & Thermodynamics of Gases

Question 1

enthalpy

Accepted Answer

$H := U + pV$

Question 2

Gibbs free energy

Accepted Answer

$G := H - TS$

Question 3

Helmholtz free energy

Accepted Answer

$F := U - TS$

Question 4

relation of Gibbs free energy to chemical potential

Accepted Answer

$G = \sum_{i} n_{i} \, \mu_{i}$

Question 5

specific heat at constant volume

Accepted Answer

$C_{V} := \left( \frac{\partial U}{\partial T} \right)_V$

Question 6

specific heat at constant pressure

Accepted Answer

$C_{p} := \left( \frac{\partial H}{\partial T} \right)_p$

Question 7

isobaric compressibility

Accepted Answer

$\alpha := \frac{1}{V} \left( \frac{\partial V}{\partial T} \right)_p$

Question 8

isothermal compressibility

Accepted Answer

$\kappa := - \frac{1}{V} \left( \frac{\partial V}{\partial p} \right)_T$

Question 9

isentropic compressibility

Accepted Answer

$\beta := - \frac{1}{V} \left( \frac{\partial V}{\partial p} \right)_S$

Question 10

for fixed composition, one can write all TD partials in terms of

Accepted Answer

$\alpha , \kappa , c_p , p , v , T$

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