For a two-cover FPC of dimensions 3 x 6 m, tilted 45 degrees from horizontal, determine the overall
heat loss coefficient. The environmental temperature is 5 C and the wind blows at 5 m/s.
The absorber plate is 0.6 mm thick with an emissivity of 0.15. The glass covers are 3.5 mm
thick with a gap of 20 mm and the bottom one is located 50 mm from the absorbing plate.
The glass emissivity is 0.88. The insulation is fiberglass 50 mm thick at the back and
30 mm at the edges. The mean absorber temperature is 90 C. Estimate the overall heat loss
coefficient using both the detailed and the empirical methods and compare the results

Q2 Write short notes on any two of the following:

a) Optimum Design. b) New Design c) Empirical Design [12 marks]

(iii) Mention two methods used in design in minimizing stress concentration. [5 marks]

Q4 (i) Find the power transmitted by a 50mm diameter solid shaft running at 200rpm if the shear strength of the material is 124 MN/m2 using factor of safety of 2.

What will be the power transmitted by an equivalent hollow shaft of the same cross sectional area as the solid shaft above, if the ratio of the outside to inside diameter is 3/2. [18 marks]

(ii) Explain the meaning of the answers in (i) above

Hydrogen cyanide, HCN, is a poisonous gas. The lethal dose is approximately 300. mg HCN per kilogram of air when inhaled. The density of air at 26 ∘C is 0.00118 g/cm3.HCN forms when synthetic fibers containing Orlon^® or Acrilan^® burn. Acrilan^® has an empirical formula of CH2CHCN, so HCN is 50.9% of the formula by mass. A rug in the laboratory measures 12.0× 15.0 ft and contains 30.0 oz of Acrilan^® fibers per square yard of carpet. If the rug burns, what mass of HCN will be generated in the room? Assume that the yield of HCN from the fibers is 20.0%and that the carpet is 38.0 % consumed.​

Q2) QUESTION 2 HAS TWO PARTS a) For a typical nonrenewable resource, would you expect the rate of extraction to increase, be constant, or decrease over time? Why? Explain with graph. b) Following the reasoning of Harold Hotelling, we might expect the real price of nonrenewable resources to increase continually over time, as resource stocks are depleted. But, empirical evidence (as documented by Margaret Slade) for a number of nonrenewable (mineral) resources indicates that their prices over the past century have not been increasing monotonically; instead, the price paths of a number of nonrenewable resources have been "U-shaped." Explain what's going on; i.e. resolve this apparent anomaly between theory and observation.

1. Experience and formal educations were often used as a proxy for (entrepreneurial) ability. Briefly discuss the advantages and disadvantages of using each of them. How does your answer help explain why empirical studies of entrepreneurial choice often include both measures (such as year of schooling and years of work experience)?

2. Briefly discuss how important is strong- vs. weak-tie social capital to the following two startup company: a new restaurant and an e-commerce platform.

3. What is the benefit of forming entrepreneurial teams when starting a company? Is a more diverse team better than a team with similar members for a business venture?

1/ The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 63 ounces and a standard deviation of 6 ounces.

Use the Standard Deviation Rule, also known as the Empirical Rule.

Suggestion: sketch the distribution in order to answer these questions.

a) 68% of the widget weights lie between  and

b) What percentage of the widget weights lie between 45 and 69 ounces?  %

c) What percentage of the widget weights lie above 51 ?  %

2/ dult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the height of a man with a z-score of 2.9 (to 2 decimal places)

A student is given 3 beakers:

Beaker 1- 50.0 ml of a solution produced by dissolving 6.00 grams of a weak monoprotic acid ,HX, in enough water to produce 1 liter of solution. The empirical formula of HX is CH₂O. The solution contains 3 drops of phenolphthalein.

Beaker 2- A 0.07M solution of the salt NaX. It has a pH of 8.8

Beaker 3 – 50.0 ml of 0.250M KOH

The contents of beaker 3 is added drop-wise to beaker 1 until a pink color appears and remains for 30 seconds. This takes exactly 20.0 ml of the beaker 3 solution. Identify X and calculate the pH of beaker 1 after the addition of the 20 ml.

19) The demand for vegetarian sandwiches each day for eight consecutive days is given below. Find the standard deviation.

                                               16   19   25   24   26   22   44   28

a) 1.49

b) 8.42

c) 31.97

d) 4.8

18) The _______ is the difference between largest and the smallest data values.

a) Median

b) Mean

13) The amount of Jen's monthly phone bill is normally distributed with a mean of $55 and a standard deviation of $12. What percentage of her phone bills are between $19 and $91? Use the Empirical Rule.

a) 25%

b) 95.45%

c) 99.73 %

d) 15.86%

e) 68.27%

c) Standard deviation

d) Mode

e) Range

The following data represent the serum HDL cholesterol of the 45 patients of a family doctor.

41 62 67 60 54 48 75 69 60 54 43 77 69 60 55 38 58 70 61 56 35 82 65 62 56 44 55 74 64 58 44 85 74 64 57 37 39 72 63 56

(a) Compute the population mean and standard deviation.

(b) Draw a histogram to verify the data is bell-shaped.

(c) Determine the percentage of patients and also the total number of patients that have serum HDL between 40.72 and 83.53 according to the Empirical Rule