Given that the density of air at 0.987 bar and 27°C is 1.146 kg m 3, calculate the mole fraction and partial pressure of nitrogen and oxygen assuming that a) air consists only of these two gases b) air also contains 1.0 mole per cent Ar. Please show step by step of calculations.

A 50-tooth spur gear is in mesh with a 27-tooth pinion. The gears have a diametral pitch of 5 teeth/in, and a pressure angle of φ = 25°. The gears transmit 80 HP at 4000 pinion rpm.

Find the factors of safety against bending and surface failure. Assume that the teeth are full depth, Qv = 10, a through hardened to 360 HB steel gear, and a carburized and case hardened steel pinion. Assume a face width of 3.0 in, a 99.9% reliability, and a life of 9 5 10 × cycles.

An adiabatic air compressor with inlet conditions of 100 kPa, 27 C and an exit pressure of 500 kPa has an inlet volume flow rate of 5 m3/s and operates in steady flow. Calculate the minimum power required to drive the compressor.

A project requires an investment of $330 million and has expected annual cash flows of $27 million in perpetuity, starting in one year. In fact, future cash flows will be either $78 million or $16 million, in perpetuity. The company can end the project in 1 year after collecting the first cash flow and thus finding out the amount of future cash flows, and then sell all project assets for $330 million (after taxes). The appropriate discount rate for the project is 14% and the risk-free rate is 5%.

a. What is the NPV of the project ignoring the option to abandon (in $ million)?

b. What is the value of the project after one year in the down state without abandonment (in $ million)?

c. What is the down factor (d) in the binomial option valuation model? Hint: It should be a number between 0 and 1. What is the risk-neutral probability of the up movement?

d. What is the option exercise value in year 1 in the down state if the company abandons the project after 1 year (in $ million)?

e. What is the value of the option to abandon (in $ million)?

f. What should the company do? A. Start the project, then abandon it after one year B. Never start the project C. Start the project and never abandon it D. Start the project, then decide about abandonment in one year E. Cannot say, need more information

1. Calculate the total amount of heat needed to convert 76.3g of water from -27 C to 109 C.

C_ice = 37.6 J/(mol x °C) ; C_H2O(l) = 75.4 J/(mol x ^oC); C_H2O(g) = 33.1 J/(mol x ^oC)

∆H^o_fus = 6.02 kJ/mol; ∆H^o_vap = 40.7 kJ/mol

In a clinical​ trial, 27 out of 861 patients taking a prescription drug daily complained of flulike symptoms. Suppose that it is known that 2.8​%of patients taking competing drugs complain of flulike symptoms. Is there sufficient evidence to conclude that more than 2.8​%of this​ drug's users experience flulike symptoms as a side effect at the alpha equals α=0.05 level of​ significance?

Air at 1 atm and 27 degree C flows across a flat plate at a velocity of 14 m/s. Find the distance from the leading edge where transition to turbulent flow begins and the local heat-transfer coefficient at this point if the temperature of the plate is 77 degree C.

Standard Appliances obtains refrigerators for $1,550 less 27% and 5%. Standard's overhead is 20% of the selling price of $1,590. A scratched demonstrator unit from their floor display was cleared out for $1,205.

a. What is the regular rate of markup on cost?

b. What is the rate of markdown on the demonstrator unit?

c. What is the operating profit or loss on the demostrator unit?

d. What is the rate of markup on cost that was actually realized?

A researcher investigating the effects of distracted driving conducted a study using 27 adults ranging in age from 18 to 21. Participants were asked to watch a computer screen that simulated driving on a busy city street. Participants used a button on the floor as a brake and were instructed to use this brake as they normally would as if they were really driving (i.e., stop signs, cars ahead of them slowing down, etc.). Nine participants were randomly assigned to one of three distracting conditions: 1) Participants were given a cell phone and had to answer/reply text messages received; 2) Participants were asked to have a conversation with a research assistant while “driving.” The assistant read from a prepared set of conversation questions; 3) Participants had no distractions and were allowed to be fully focused on driving safely. An overall score was measured from the driving exercise where higher scores indicated higher risk of getting into an accident. The table below contains the data collected.

Cell Phone: 20 23 21 22 20 18 18

Passenger Conversation: 19 20 21 16 22 18 20

No Distraction: 17 18 15 19 17 20 17

Answer the following questions using the data from the table above.

A. What is the independent variable and levels for the study conducted?

B. What is the dependent variable and scale of measurement (i.e., NOIR)?

C. What is the null hypothesis for the study conducted?

D. Conduct a test of the null hypothesis using a single-factor ANOVA (p = .05). Be sure to properly write your statistical conclusion – “Since F ( , ) = , p <> .05….”

E. Provide an interpretation of your statistical conclusion from part D. Include the variables from the description above.

F. Assume the researcher has no planned comparisons before analyzing the data and is going to look at all possible comparisons after performing the initial ANOVA test. Use the Scheffe Test to maintain the p – value at .05. Carry out a comparison between the Cell Phone distracted group and the No Distraction group. Be sure to properly state your statistical conclusion for this comparison.

G. Provide an interpretation of your statistical conclusion from part F. Include the variables from the description above.