Consider the following reaction and associated equilibrium constant:
aA(g)⇌bB(g), Kc = 1.5

Part A

Find the equilibrium concentrations of A and B for a=1 and b=1. Assume that the initial concentration of A is 1.0 M and that no B is present at the beginning of the reaction.

Express your answers using two significant figures separated by a comma.

[A], [B] = ?M

Part B

Find the equilibrium concentrations of A and B for a=2 and b=2. Assume that the initial concentration of A is 1.0 M and that no B is present at the beginning of the reaction.

Express your answers using two significant figures separated by a comma.

[A], [B] = ?M

Part C

Find the equilibrium concentrations of A and B for a = 2 and b = 1. Assume that the initial concentration of Ais 1.0 M and that no B is present at the beginning of the reaction.

Express your answers using two significant figures separated by a comma.

[A], [B] = ?M

Consider the shmoo (see image below). In a large population of shmoos, there is a gene with two alleles (B and b). The ‘B’ allele is the wild type allele and individuals exhibit a fairly normal shmoo-type phenotype. Individuals with two copies of the ‘b’ allele can, under some conditions, spontaneously combust.

After extensive (and very careful) research it was determined that the frequency of the “combustable” shmoos was 4 individual per 100 shmoos.

a. Given that there is strong directional selection against the ‘b’ allele, would you expect the ‘b’ allele to persist in this population? Why or why not? (Assume that the relative fitnesses are W_BB = 1.0, W_Bb = 1.0, and W_bb = 0.5)

b. It is also possible that the three genotypes (BB, Bb, bb) have unique relative fitnesses: (W_BB = 1.0, W_Bb = 0.75, and W_bb = 0.5). Would you expect the ‘b’ allele to persist in this population? Why or why not?

1. Create a class named UsedFurnitureItem to represent a used furniture item that the store sells.
2. Private data members of a UsedFurnitureItem are:
   1. age (double) // age in years – default value for
   2. brandNewPrice (double) // the original price of the item when it was brand new
   3. description (string) // a string description of the item
   4. condition (char) // condition of the item could be A, B, or C.
   5. size (double) // the size of the item in cubic inches.
   6. weight (double) // the weight of the item in pounds
3. Public member functions of a UsedFurnitureItem
   1. Constructors – default and overloaded [default values: age = 1.0, brandNewPrice = 10.00, description = “Not available”, condition = ‘A’, size = 1.0, weight = 1.0]
   2. Accessors (getters)
   3. Mutators (setters) – You should ensure that invalid (zero or negative) values do not get assigned to age, brandNewPrice, size or weight data members. An invalid character (other than ‘A’, ‘B’ or ‘C’) should not be allowed to be assigned to the condition data member

Let E denote units of domestic currency per unit of foreign currency; P, P* the domestic and foreign price index, respectively.

Fill in the missing elements of the table above and answer the following questions:

(a) Between which years did the domestic nominal exchange rate change?

(b) Bewteen which years did the domestic real exchange rate change?

(c) Did the domestic nominal exchange rate depreciate or appreciate bwtween year 1 and year 5?

(d) Did the domestic real exchange rate depreciate or appreciate between year 1 and yaer 5?

An object with a mass of 49.8 pounds is moving with a uniform velocity of 30.9 miles per hour. Calculate the kinetic energy of this object in joules

Which of the following problems cannot be solved using a proportional relationship?

(i) A 30-mile drive is about 48.3 kilometers. Approximately how many kilometers is a 60-mile drive?

(ii) A gallon of gas costs $3.49 on October 8, 2011 at the Chevron station on the corner of Imola and Soscol. What does 10 gallons of gas cost on that same day at the same station?

(iii) A car travels 50 miles in 2 hours in heavy traffic. How long does it take the car to travel 25 miles in light traffic?

On January 1, Year 1, the City Taxi Company purchased a new taxi cab for $90,000. The cab has an expected salvage value of $38,000. The company estimates that the cab will be driven 200,000 miles over its life. It uses the units-of-production method to determine depreciation expense. The cab was driven 45,000 miles the first year and 102,000 the second year. What would be the depreciation expense reported on the Year 2 income statement and the book value of the taxi, respectively, at the end of Year 2?

A 3.24 g object is immersed into a graduated cylinder filled with water. Use the following figure to determine the object’s density. Enter just the numerical value without units. (V1=65ml, V2=90ml)

How many grams of water are contained in a 0.127 L sample at 20°C?

How much will you spend in fuel to travel 405 miles? Your car gets on average 37 miles per gallon and gas costs $2.70/gallon. Report your answer to four significant figures. Enter just the numerical value without the dollar sign.

On January 1, 2018, the Excel Delivery Company purchased a delivery van for $52,000. At the end of its five-year service life, it is estimated that the van will be worth $4,000. During the five-year period, the company expects to drive the van 150,000 miles.

Required:
Calculate annual depreciation for the five-year life of the van using each of the following methods.

1. Straight line.
2. Sum-of-the-years’-digits.
3. Double-declining balance.
4. Units of production using miles driven as a measure of output, and the following actual mileage

The fuel consumption, in miles per gallon, of all cars of a particular model has a mean of 25 and a standard deviation of 2. The population distribution can be assumed as normal. A random sample of these cars is taken.

a. Find the probability that the sample mean fuel consumption will be fewer than 24 miles per gallon if (i) a sample of 1 observation is taken, (ii) a sample of 4 observations if taken and (iii) a sample of 16 observations is taken.

b. Explain why the three answers in part a. differ in the way they do. Draw a graph to illustrate your reasoning.