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1. (20 points total) To do this question, use tabulated values of the enthalpy of formation and heat capacities from a reliable source. Also, assume that the heat capacities of all substances involved do not change with temperature.

a. (10 points) Calculate the standard enthalpy at 25°C for the reduction of Fe2O3  with magnesium to produce iron metal.

b. (10 points) Calculate the standard enthalpy for the reaction of part (a) at 900°C.

2. Use the data tables at the end of this assignment to calculate the standard heat of formation of mercury at 700 K.

3. (20 points) Dimethylacetamide (a liquid at room temperature, also known as DMA) is a common   solvent   used   for   organic   synthesis.      DMA   has   the   chemical   formula CH3C(O)N(CH3)2 and a structure as shown below:

Given that ΔvapH°(DMA) = 49 kJ/mol, estimate the heat of formation of DMA at 298 K using

bond energies and compare to the measured value ofΔfH°(DMA) = -300 kJ/mol.

4. (40 points) An ideal heat pump operates between the exterior and interior of a house. The exterior temperature is 0°C. Using this heat pump, it requires 850 J of work to deliver 8500 J of heat to the house.

a. (10 points) How much heat is absorbed from the exterior at 0°C?

b. (10 points) What is the interior temperature of the house in degrees Celsius?

5. (15 points) Make a sketch of a Carnot cycle for an ideal monatomic gas on the following coordinates: (a) U-S; (b) T-P; (c) H-T.