Kinetics and Thermodynamics of Gases

Question 1

enthalpy

Accepted Answer

$H \coloneqq U + pV$

Question 2

Gibbs free energy

Accepted Answer

$G \coloneqq H - TS$

Question 3

Helmholtz free energy

Accepted Answer

$F \coloneqq U - TS$

Question 4

criterion for equilibrium at constant $U$ and $V$ (isolated system)

Accepted Answer

$dS \ge 0$, or $S_{max}$ composition

Question 5

criterion for equilibrium at constant $T$ and $V$ (closed system)

Accepted Answer

$dF \le 0$, or $F_{min}$ composition

Question 6

criterion for equilibrium at constant $T$ and $p$ (closed system)

Accepted Answer

$dG \le 0$, or $G_{min}$ composition

Question 7

chemical potential

Accepted Answer

$\mu_i = \left( \frac{\partial G}{\partial n_i} ight)_{T, p, n_{j 
eq i}}$

Question 8

Gibbs free energy in terms of chemical potential

Accepted Answer

$G = \sum_{i} n_i \mu_i$

Question 9

specific heat at constant volume

Accepted Answer

$c_v \coloneqq \left( \frac{\partial u}{\partial T} \right)_v$

Question 10

specific heat at constant pressure

Accepted Answer

$c_p \coloneqq \left( \frac{\partial h}{\partial T} \right)_p$

Question 11

isobaric compressibility

Accepted Answer

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

Question 12

isothermal compressibility

Accepted Answer

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

Question 13

isentropic compressibility

Accepted Answer

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

Question 14

for fixed composition, all TD partials can be written in terms of...

Accepted Answer

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

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