1 Hydrogen and chlorine react to produce hydrogen chloride (HCl) as shown below. At equilibrium, the flask contains 0.239 g of HCl, 0.254 g of Cl₂ and 0.00013 g of H₂. Calculate the value of K_c.

The reaction is: H₂ + Cl₂ <--> 2HCl

Hint: Work in mol/L.

Sulfuric acid is produced in larger amounts by weight than any other chemical. It is used in manufacturing fertilizers, oil refining, and hundreds of other processes. An intermediate step in the industrial process for the synthesis of H2SO4 is the catalytic oxidation of sulfur dioxide:
2SO2(g)+O2(g)→2SO3(g)ΔG∘ = -141.8 kJ
Calculate ΔG at 25 ∘C given the following sets of partial pressures.

Part A

150 atm SO2, 150 atm O2, 4.0 atm SO3

Express your answer using four significant figures.

Part B

4.0 atm SO2, 1.0 atm O2, 10 atm SO3

Express your answer using four significant figures.

Part C

Each reactant and product at a partial pressure of 1.0 atm.

Express your answer using four significant figures.

The following table gives information about several bonds.

1. Calculate the zero rates for maturities 0.5, 1.0, 1.5 and 2.0 years. (4 points) (Hint: to compute the zero rates for maturities 1.5 and 2, you need to “Bootstrap” the zero curve – please refer to the Addendum on Bootstrapping on BB for details.) (Pg 29 manual)
2. What are the forward rates for the periods: 6 months to 12 months, 12 months to 18 months, 18 months to 24 months? (4 points)
3. Compute the price and yield of a 2-year bond providing a semi-annual coupon of $300 and a principal of $5,000. (4 points)

as the measure of five-year owner costs. Road-test scores are the results of more than 50 tests and evaluations and are based upon a 100-point scale, with higher scores indicating better performance, comfort, convenience, and fuel economy. The highest road-test score obtained in the tests conducted by Consumer Reports was a 99 for a Lexus LS 460L. Predicted-reliability ratings (1 = Poor, 2 = Fair, 3 = Good, 4 = Very Good, and 5 = Excellent) are based on data from Consumer Reports’ Annual Auto Survey. A car with a value score of 1.0 is considered to be “average-value.” A car with a value score of 2.0 is considered to be twice as good a value as a car with a value score of 1.0; a car with a value score of .5 is considered half as good as average; and so on. The data for 20 family sedans, including the price ($) of each car tested, follow.

Covered Interest Arbitrage: The spot rate is currently: 1.6131 $/pound US interest rate 1.0% The 6 month forward is: 1.6022 $/pound UK interest rate 2.5% a.) Is Arbitrage possible? Use the forward as a percentage to show why. What items do you compare to arrive at your answer? Explain fully. b.) Us the forward as a percentage in a sentence that correctly describes what it means. c.) How to Profit. For this part show how the arbitrage would be carried out. What is the excess profit that can be made by carrying out the covered interest arbitrage? Assume that you start with 1.0 million dollars. d.) In which direction would the four numbers at the beginning of this problem need to move to reduce or eliminate the arbitrage? e.) If all numbers are fixed except for the UK interest rate, what would the UK interest rate need to be to totally eliminate the arbitrage?

You plan to purchase a house for $200,000 using a 30-year mortgage obtained from your local bank. You will make a down payment of 25 percent of the purchase price. You will not pay off the mortgage early. Assume the homeowner will remain in the house for the full term and ignore taxes in your analysis.

a. Your bank offers you the following two options for payment. Which option should you choose?

• Option 1: Mortgage rate of 5.60 percent and zero points.
• Option 2: Mortgage rate of 5.15 percent and 1.0 points.

b. Your bank offers you the following two options for payments. Which option should you choose?

• Option 1: Mortgage rate of 5.15 percent and 1.0 point.
• Option 2: Mortgage rate of 5.05 percent and 1.5 points.

1. See “Content/Distribution Tables/Z table - 0 to Z” to answer the following questions. The values of probability, or area from 0 to Z, for negative value of Z is the same as given for positive Z by symmetry, i.e., the table values are for + and – values of Z. Don’t forget the area of the left and right half of the normal distribution is .5. See Normal Distribution & Z Values in Videos-Topics In Stat 200 for examples.

a) P(Z<1.4) add .5 to table value for Z=1.4 a. p=

b) P(Z>1.4) subtract table value for Z=1.4 from .5

c) P(Z<-1.4) see part b)

d) P(-.5<Z<1.0) add table for Z=-.5 to Z=1.0

e) P(.5<Z<1.5) subtract table for Z=.5 from table for Z=1.5

The equivalent synchronous impedance of a 25kVA, 400V
three-phase Y-connected synchronous generator is 0.05 + j1.6 ohm.
When the rated voltage was output under no load, the rated current flowed by connecting the load.
Part a)
If the load power factor is 0.8, 1.0 lagging, and 0.8 lagging,
calculate the pull-up voltage, load angle, and voltage fluctuation rate for each.
Ignore the magnetic saturation.

Part b)
If the power factor is 0.8, 1.0 lagging and 0.8 leading,
when the rated current flows through the generator at the rated output voltage,
calculate the internal induced power, load angle, and voltage dynamic for each.

Answer
Part a)
190.4V, 11.26 deg, 21.3%
221.8V, 14.47 deg, 4.1%
259.2V, 11.82 deg, -11.3%

Part b)
270.8V, 9.59 deg, 17.5%
239.8V, 13.93 deg, 3.8%
203.3V, 13.45 deg -12.0%

Automobile insurance companies take many factors into consideration when setting rates. These factors include age, marital status and miles driven per year. To determine the effect of gender, a random sample of young (under 25, with at least 2 years of driving experience) male and female drivers was surveyed. Each was asked how many miles he or she had driven in the past year. The distances (in thousands of miles) are stored in stacked format (column 1= driving distances and column 2 identifies gender where 1=male and 2=female). (Assume equal variances.) (a) Can we conclude that male & female drivers differ in the numbers of miles driven per year? (you need to compute the sample means and sample standard deviations for each gender in the Excel Workbook that comes with this exercise. Use ”=AVERAGE()” and ”=STDEV()” formulas. This also applies to exercises further below.) (b) Estimate with 95% confidence the difference in mean distance driven by male and female drivers.