The differential for the Internal energy, U, at constant
composition is
?U = −P?V + T?S
(a) What are the natural independent variables of U? [2]
(b) Derive an expression for the change in internal energy at
constant Volume starting with the
above differential for the internal function, U, at constant
composition. [3]
(c) Using the criterion for exact differentials, write the Maxwell
relation that is derived from this
equation. [2]
(d) Based on your answer in part (a), write the total differential
of U in terms of partial
differentials. [2]
(e) By comparison of the above equation (equation at the beginning
of the question) and the total
differential of U written in part (d), obtain appropriate
expressions (partial differentials) for −P
and T.
In: Chemistry
An older-model car accelerates from 0 to speed v in a time interval of ?t. A newer, more powerful sports car accelerates from 0 to 2v in the same time period. Assuming the energy coming from the engine appears only as kinetic energy of the cars, compare the power of the two cars.
In: Physics
Given a 2.00 μF capacitor, a 5.25 μF capacitor, and a 2.50 V battery, find the charge on each capacitor if you connect them in the following ways.
(a) in series across the battery 2.00 μF capacitor μC 5.25 μF capacitor
(b) in parallel across the battery 2.00 μF capacitor μC 5.25 μF capacitor
In: Physics
V
1 Consider a 20-year bond with a face value of $ 1 comma 000 that has a coupon rate of 5.8 %, with semiannual payments.
a. What is the coupon payment for this bond?
b. Draw the cash flows for the bond on a timeline.
a. What is the coupon payment for this bond?
The coupon payment for this bond is $
Nothing. (Round to the nearestcent.)
b. Draw the cash flows for the bond on a timeline.
Select the timeline below that shows the correct cash flows for this bond. (Select the best choicebelow.)
A.
The timeline starts at Period 0 and ends at Period 40. The timeline shows a cash flow of $ 29.00 each from Period 1 to Period 39. In Period 40, the cash flow is $ 1,029.00.
Period012nothing3940
Cash Flows nothing$ 29.00$ 29.00nothing$ 29.00$ 1,029.00
B.
The timeline starts at Period 0 and ends at Period 20. The timeline shows a cash flow of $ 29.00 each from Period 1 to Period 19. In Period 20, the cash flow is $ 1,029.00.
Period012nothing1920
Cash Flows nothing$ 29.00$ 29.00nothing$ 29.00$ 1,029.00
C.
The timeline starts at Period 0 and ends at Period 20. The timeline shows a cash flow of $ 29.00 each from Period 1 to Period 19. In Period 20, the cash flow is $ 1,000.
Period012nothing1920
Cash Flows nothing$ 29.00$ 29.00nothing$ 29.00$ 1,000
D.
The timeline starts at Period 0 and ends at Period 40. The timeline shows a cash flow of $ 29.00 each from Period 1 to Period 39. In Period 40, the cash flow is $ 1,000.
Period012nothing3940
Cash Flows nothing$ 29.00$ 29.00nothing$ 29.00$ 1,000
2 Assume that a bond will make payments every six months as shown on the following timeline (using six-month periods):
The timeline starts at Period 0 and ends at Period 50. The timeline shows a cash flow of $ 19.31 each from Period 1 to Period 49. In Period 50, the cash flow is $ 19.31 plus $ 1,000.
Period012nothing4950
Cash Flows nothing$ 19.31$ 19.31nothing$ 19.31$ 19.31 plus $ 1,000
a. What is the maturity of the bond(in years)?
b. What is the coupon rate(as apercentage)?
c. What is the facevalue?
a. What is the maturity of the bond(in years)?
The maturity is
Nothing years. (Round to the nearestinteger.)
b. What is the coupon rate(as apercentage)?
The coupon rate is
Nothing%. (Round to two decimalplaces.)
c. What is the facevalue?
The face value is $
Nothing. (Round to the nearestdollar.)
3 Assume that a bond will make payments every six months as shown on the following timeline (using six-month periods):
The timeline starts at Period 0 and ends at Period 20. The timeline shows a cash flow of $ 20.00 each from Period 1 to Period 19. In Period 20, the cash flow is $ 20.00 plus $ 1,000.
Period012nothing1920
Cash Flows nothing$ 20.00$ 20.00nothing$ 20.00$ 20.00 plus $ 1,000
a. What is the maturity of the bond(in years)?
b. What is the coupon rate(as apercentage)?
c. What is the facevalue?
a. What is the maturity of the bond(in years)?
The maturity is
Nothing years. (Round to the nearestinteger.)
b. What is the coupon rate(as apercentage)?
The coupon rate is
Nothing%. (Round to two decimalplaces.)
c. What is the facevalue?
The face value is $
Nothing. (Round to the nearest dollar.)
4 Your company wants to raise $9.0 million by issuing 15-year zero-coupon bonds. If the yield to maturity on the bonds will be 4 % (annual compounded APR), what total face value amount of bonds must youissue?
The total face value amount of bonds that you must issue is $
Nothing. (Round to the nearestcent.)
In: Finance
v) Why efficiency is a commonly used as an objective for public policy (more than equity). (Hint: think about which type of policies will be easier to pass in the congress?) vi) One hundred people are distributed in two beaches. In Beach A, there are 98 people (A = 98), while in Beach B only 2 (B = 2). Is this allocation efficient? Is equalitarian? (assume that people are more happy if the beach is less crowded). vii) Answer to the same questions with (A = 100, B = 0) and with (A = 50, B = 50). viii) Find an allocation that is NOT Pareto efficient an NOT equalitarian (Hint: you might need more than one beach).
In: Economics
An air conditioner draws 17 A at 220-V ac. The connecting cord is copper wire with a diameter of 1.291 mm .
a.) How much power does the air conditioner draw?
b.) If the length of the cord (containing two wires) is 6.5 m , how much power is dissipated in the wiring?
c.) If no. 12 wire, with a diameter of 2.053 mm, was used instead, how much power would be dissipated?
d.) Assuming that the air conditioner is run 13 h per day, how much money per month (30 days) would be saved by using no. 12 wire? Assume that the cost of electricity is 12 cents per kWh.
In: Physics
A uniform electric field of magnitude 240 V/m is directed in the positive x direction. A +13.0 µC charge moves from the origin to the point (x, y) = (20.0 cm, 50.0 cm). (a) What is the change in the potential energy of the charge field system? J (b) Through what potential difference does the charge move?
In: Physics
Given a 2.00 μF capacitor, a 5.00 μF capacitor, and a 6.50 V battery, find the charge on each capacitor if you connect them in the following ways.
(a) in series across the battery
| 2.00 μF capacitor | ...μC |
| 5.00 μF capacitor | ... μC |
(b) in parallel across the battery
| 2.00 μF capacitor | ...μC |
| 5.00 μF capacitor | ...μC |
In: Physics
The figure shows a 11.8 V battery and four uncharged capacitors of capacitances C1 = 1.16 μF,C2 = 2.31 μF,C3 = 3.26 μF, and C4 = 4.19 μF. If only switch S1 is closed, what is the charge on (a) capacitor 1, (b) capacitor 2, (c) capacitor 3, and (d) capacitor 4? If both switches are closed, what is the charge on (e) capacitor 1, (f) capacitor 2, (g) capacitor 3, and (h) capacitor 4?
In: Physics
Read the Blumberg v. Ambrose case that begins on page 597 of the text (Chapter 17).
answer this question according to Blumberg Ambrose
case.
Miscommunication is often the basis for litigation -
what should the parties have done in this case?
How do you define a partnership? What should you do
before engaging in a business operation?
In: Operations Management