A long black coil has N1=1600 turns over its length of l=80.0 cm, and the radius of r= 4.0 cm. The current I running through this coil flows in CCW direction. The blue coil is wrapped around the black one, and it has the total of 5 full turns. At the ends of the blue coil is a small resistor with the resistance of 0.1 Ohms.

A.Find the net flux through the blue coil. Give your answer in terms of quantities: N1, l, r, I, and N2. Show all work

B. If the current in the black coil begins to increase steadily, so that over the 2.0 sec period the current goes up from 1.0 A to 1.4 A, calculate the induced EMF in the blue coil, and the induced current. Tell the direction of the induced current and explain why it is so.

A newly formed firm must decide on a plant location. There are two alternatives under consideration: locate near the major raw materials or locate near the major customers. Locating near the raw materials will result in lower fixed and variable costs than locating near the market, but the owners believe there would be a loss in sales volume because customers tend to favor local suppliers. Revenue per unit will be $175 in either case.

Using the above information, determine which location would produce the greater profit. (Omit the "$" sign in your response.)

(Click to select)Kansas CityOmaha would produce the greater gross profit of $ .

Robert hires workers to pack the Haskap berries he is growing.

The market for Haskap berries is perfectly competitive, and the price of Haskap berries is $2 per bucket. The labour market is competitive, and the market wage rate is $16/hour.

Table 1.0 below shows the workers’ total product schedule

# of workers # buckets of Haskap berries produced per hour

1 14

2 26

3 36

4 44

5 50

Answer the following:

1. What is the marginal product of the third worker hired, and what is that worker’s Value of Marginal Product?

2. How many workers will Robert hire to maximize profit and what will the workers produce?

3. If the market wage rate rises to $20/hour, how many workers will Robert hire?

The air bags in your vehicle work using the following sets of reactions:

2NaN₃ → 2Na +3N₂

10Na + 2KNO₃ → K₂O + 5Na₂O + N₂

When your vehicle detects a collision, the sodium azide (NaN₃) is activated (heated up) to start the decomposition reaction. This produces nitrogen gas and sodium metal. The sodium metal produced in the first reaction is then used in the second reaction to produce more nitrogen gas to inflate your airbag in your vehicle.

Say a typical airbag contains 130 g of NaN₃ and the temperatures inside your airbag are around 40°C with a normal air pressure of 1.0 atm.

What volume of N₂ gas is produced when your air bag is deployed (you must consider both reactions as they both produce nitrogen)?

1-Determine the amount of heat (in kJ) given off when 2.40 ×10⁴g of NO₂ is produced according to the following equation: 2 NO(g) + O₂(g) → 2NO₂(g)ΔH = −114.6 kJ/mol Enter your answer in scientific notation.

2-Given the following thermochemical equations,
NO(g) + O₃(g) → NO₂(g) + O₂(g) ΔH = −198.9 kJ/mol

O₃(g) → 3/2O₂(g) ΔH = −142.3 kJ/mol O₂(g) →2O(g) ΔH = +495 kJ/mol

determine the enthalpy change for the reaction

2NO₂(g) → 2NO(g) + O₂(g)

3-Determine the pH at 25°C of a solution prepared by dissolving 0.33 mole of ammonium chloride in 1.0 L of 0.31 M aqueous ammonia.

A bottled water distributor wants to determine whether the mean amount of water contained in​ 1-gallon bottles purchased from a nationally known water bottling company is actually 1 gallon. You know from the water bottling company specifications that the standard deviation of the amount of water is 0.03 gallon. You select a random sample of 50 ​bottles, and the mean amount of water per​ 1-gallon bottle is 0.993 gallon. Complete parts​ (a) through​ (d) below.

a. Is there evidence that the mean amount is different from 1.0 ​gallon? (Use α equals=0.05.)

Let be the population mean. Determine the null​ hypothesis,

Upper H 0H0​,

and the alternative​ hypothesis,

Upper H 1H1.

What is the test​ statistic?

What​ is/are the critical​ value(s)? (Use

alphaαequals=0.050.05​.)

What is the p value?

A bottled water distributor wants to determine whether the mean amount of water contained in​ 1-gallon bottles purchased from a nationally known water bottling company is actually 1 gallon. You know from the water bottling company specifications that the standard deviation of the amount of water is 0.03 gallon. You select a random sample of 50 ​bottles, and the mean amount of water per​ 1-gallon bottle is 0.993 gallon. Complete parts​ (a) through​ (d) below.

a. Is there evidence that the mean amount is different from 1.0 ​gallon? (Use α equals=0.05.)

Let be the population mean. Determine the null​ hypothesis,

Upper H 0H0​,

and the alternative​ hypothesis,

Upper H 1H1.

What is the test​ statistic?

What​ is/are the critical​ value(s)? (Use

alphaαequals=0.050.05​.)

What is the p value?

A sugar cube (sucrose) weighs about 3 g. A 20 oz. (591 mL) container of Gatorade (or Powerade) contains 35 g of sucrose (table sugar). 1.0 oz. = 28.35 g. Sucrose is a dissaccharide consisting of glucose and fructose (a 1:1 ratio). Gram molecular weight (GMW) of sucrose = 342.2 g/mole. When ingested, sucrose is rapidly broken down into glucose and fructose by enzymes in your body. In humans, normal blood glucose levels are maintained at about 0.005 moles/L (which = 5.0 milllimoles/L, or 5.0 mM). Assume that your total blood volume is 5 L (average human). You drink a 20 oz. container of Gatorade. What is the molarity of glucose in your blood after drinking the Gatorade?

What is the final volume of each of the following diluted solutions?

A.8.0 % (m/v) H2SO4 solution prepared from 6.00 mL of a solution that is 19.0 % H2SO4

Express your answer in liters using two significant figures.

B.1.4 M HCl solution prepared from 11 mL of a solution that is 2.0 M HCl

Express your answer in liters using two significant figures.

C.1.0 M NaOH solution prepared from 60.0 mL of a solution that is 10.0 M NaOH

Express your answer in liters using two significant figures.

D.3.0 % (m/v) CaCl2 solution prepared from 20 mL of a solution that is 12.00 % CaCl2

Express your answer in liters using two significant figures.

Initial pH: 2.54

Clearly outline how you made your assigned buffer with its target pH.

Assuming no volume change, how many mL of 0.1 M NaOH (use your concentration determined from standardization) should be added to your buffer for a pH change of 1.0?

concentration from standardization: .0945M HCl