Final exam

Question 1

Definition of pressure

Answer 1

P = F/A

Question 2

Definition of work

Answer 2

dw= -PextdV

Question 3

first law of thermo

Answer 3

dU = dQ + dw

Question 4

definition of heat capacity

Answer 4

C = (∂Q/∂T)

Question 5

What is U a function of?

Answer 5

T and V

Question 6

Definition of enthalpy

Answer 6

H = U + PV

Question 7

Heat capacity at a constant volume

Answer 7

Cv = (∂U/∂T)v

Question 8

heat capactiy at a constant pressure

Answer 8

Cp = (∂H/∂T)p

Question 9

Definition of entropy

Answer 9

ds = dQrev/T

Question 10

Change in entropy for the irreversible isothermal expansion of an ideal gas

Answer 10

∆S = nRln(V2/V1) = -nRln(P2/P1)

Question 11

Change in entropy for the heating of a gas from T1 to T2 keeping volume constant

Answer 11

∆S = Cv*ln(T2/T1)

Question 12

Change in entropy for the heating of a gas from T1 to T2 keeping pressure constant

Answer 12

∆S = Cp*ln(T2/T1)

Question 13

Entropy of mixing for an ideal gas

Answer 13

∆Smix = naRln(1/ya) + nbRln(1/yb)

na and nb are the number of moles and ya and yb are the mole fractions

Question 14

Definition of G

Answer 14

G = H - TS

Question 15

Defintion of A

Answer 15

A = U - TS

Question 16

entropy of phase transitions

Answer 16

∆S = ∆H/T

Question 17

(∂U/∂T)v = ?

Answer 17

Cv

Question 18

(∂H/∂T)p = ?

Answer 18

Cp

Question 19

T(∂S/∂T)v = ?

Answer 19

Cv

Question 20

T(∂S/∂T)p = ?

Answer 20

Cp

Question 21

(∂G/∂T)p = ?

Answer 21

-S

Question 22

(∂A/∂T)v = ?

Answer 22

-S

Question 23

(∂G/∂P)T = ?

Answer 23

V

Question 24

(∂A/∂V)T = ?

Answer 24

-P

Question 25

Gm = G/n = ?

Answer 25

µ

Question 26

Basic equations

Answer 26

dU = Tds - PdV
dA = -SdT -PdV
dH = TdS + VdP
dG = -SdT + VdP

Question 27

Clausius Equation

Answer 27

dP/dT = ∆H / T∆V

Question 28

Clausius- Clapeyron Equation

Answer 28

d(ln(P))/dT = ∆Hm/R(T^2)

Question 29

Chemical potential of an ideal gas

Answer 29

µ = µ˚ + RTln(P/P˚)

Question 30

Van’t Hoff equation

Answer 30

ln(Ka) = -∆H˚/RT+∆S/R

Question 31

∆G = ? not at equilibrium when you have ∆G˚

Answer 31

∆G = ∆G˚ + RTln(Q)

Question 32

∆G = ? not at equilibrium when you dont have ∆G˚

Answer 32

∆G = RTln(Q/Ka)

Question 33

∆G˚ = ?

Answer 33

∆G˚ = -RTln(Ka)

Question 34

Arrhenius Equation

Answer 34

K=A*exp(-Ea/RT)

Question 35

gibbs phase rule

Answer 35

F = C - P + 2
F - DOF
C - # of the components
P - # of phases

Question 36

Gibbs energy of mixing for an ideal solution

Answer 36

ntotal R T ∑xi ln(xi)

Question 37

entropy of mixing for an ideal solution

Answer 37

R ∑ ni ln(xi)