1. For the reversible freezing of water at 0 C; which of the following equations is NOT true?

a) DS = DH/T b) DS_Total =0 c) DG =0 d) dq=0 e) dT=0

2. a) Calculate the D_rH^o and D_rS^o at 25 C for the reaction

3H₂(g) + CO(g) = CH₄(g) + H₂O(g)

b) Calculate D_rG^o for this reaction from BOTH the D_fG^o data and from the D_rH^o and D_rS^o

3. Calculate the entropy change for the chemicals, thermal surroundings, and total for the reaction in #2. Interpret these numbers.

4. Calculate the DfH, DfG, and S of CH₄(g) at 0.0035 atm pressure assuming it behaves as an ideal gas.

5. Derive the equation, dG = -SdT + VdP starting with the first law of thermodynamic and the definitions of enthalpy and free energy for a reversible process in which only pressure volume work is done.

6. From the equation in #5, derive the partial differential equation for the change in P with respect to T at constant G. In practice, how is constant G maintained?

7. For the reversible freezing of water at 0 C; which of the following equations is NOT true?

a) DS = DH/T b) DS_Total =0 c) DG =0 d) dq=0 e) dT=0

8. Which of the following is a correct statement of the first law for a system in which the only work being done is reversible pressure volume work?

a) dU = SdT -VdP b) dU= SdT+Vdp c) dU = -TdS-PdV d) dU =TdS+PdV e) dU = TdS-PdV

9. Under what conditions is DG = DH - TDS correct.

a) it is correct only under conditions of constant P.

b) it is correct at constant T and useful only if P is constant.

c) it is correct under all conditions but useful only if T and P are constant.

d) it is correct and useful under all conditions.

e) it is only an approximation

10. Vaporization of a liquid is an example of a process for which

a) DH, DG, DS are positive at all temperatures

b) DH and DS are positive

c) DG is negative at low temperatures

d) DH = DS

11. A particular chemical reaction has a negative DH and negative DS. Which statement is true.

a) the reaction is spontaneous at all temperatures.

b) the reaction is non spontaneous at all temperatures.

c) the reaction becomes spontaneous as the temperature increases. d) the reaction becomes spontaneous as the temperature decreases.

12. When a transformation occurs spontaneously at constant T and P, the signs of DG for the system and DS for the universe must be ___ and ___ respectively.

a) +,+ b) +,- c) -,+ d) -,-