3- 1 mole of liquid benzene is in equilibrium with 1 mole of gaseous benzene at 80.1 oC in a isolated piston at 1.00 atm. Suppose the pressure of the piston is increased to 2.00 and kept constant, and no heat flows in and out of the system. What will be the final composition, volume, and the temperature inside the piston? Assume perfect gas behavior for the gas and molar volume of the liquid benzene (90.0 cm3/mol) does not change significantly in this pressure range.
In: Chemistry
A vertical axis cylinder 0.075m2 in cross sectional area is open to the atmosphere at one end and closed at the other by a piston which supports a mass of 85 kg. the piston is supported by compressed air. 5.46kJ of heat is transferred to the air and the piston lifts the mass through 55cm. What is the increase in internal energy, U, during the process? Draw the path of the process on a PV diagram.
Patmos= 1.03 bar Ans=0.75 kJ
In: Mechanical Engineering
Bramble Corporation is a small wholesaler of gourmet food products. Data regarding the store's operations follow:
| Balance Sheet October 31 |
||||||
| Assets | ||||||
| Cash | $ | 20,300 | ||||
| Accounts receivable | 70,300 | |||||
| Merchandise inventory | 155,400 | |||||
| Property, plant and equipment, net of $572,300 accumulated depreciation | 1,094,300 | |||||
| Total assets | $ | 1,340,300 | ||||
| Liabilities and Stockholders' Equity | ||||||
| Accounts payable | $ | 254,300 | ||||
| Common stock | 820,300 | |||||
| Retained earnings | 265,700 | |||||
| Total liabilities and stockholders' equity | $ | 1,340,300 | ||||
Expected cash collections in December are:
-
-
-
-
Sarafiny Corporation is in the process of preparing its annual budget. The following beginning and ending inventory levels are planned for the year.
| Beginning Inventory | Ending Inventory | |
| Finished goods (units) | 29,000 | 39,000 |
| Raw material (grams) | 59,000 | 49,000 |
Each unit of finished goods requires 2 grams of raw material. The company plans to sell 240,000 units during the year.
How much of the raw material should the company purchase during the year?
-
-
-
-
The Melville Corporation produces a single product called a Pong. Melville has the capacity to produce 60,000 Pongs each year. If Melville produces at capacity, the per unit costs to produce and sell one Pong are as follows:
| Direct materials | $ | 15 |
| Direct labor | $ | 12 |
| Variable manufacturing overhead | $ | 8 |
| Fixed manufacturing overhead | $ | 9 |
| Variable selling expense | $ | 8 |
| Fixed selling expense | $ | 3 |
The regular selling price for one Pong is $80. A special order has been received by Melville from Mowen Corporation to purchase 6,000 Pongs next year. If this special order is accepted, the variable selling expense will be reduced by 75%. However, Melville will have to purchase a specialized machine to engrave the Mowen name on each Pong in the special order. This machine will cost $9,000 and it will have no use after the special order is filled. The total fixed manufacturing overhead and selling expenses would be unaffected by this special order. Assume that direct labor is a variable cost.
Assume Melville anticipates selling only 50,000 units of Pong to regular customers next year. At what selling price for the 6,000 special order units would Melville be financially indifferent between accepting or rejecting the special order from Mowen?
In: Accounting
Top-down design: Design a program called TeamGame to simulate a
simple game of drafting players to teams. Rules of the game: •
There are two teams: Team A and Team B. • There are 50 players,
with numbers from 1 to 50. • Each team will get 10 of the players.
The program should randomly select 10 players for each team. To
accomplish this, you may select each player randomly, or you may
shuffle the list of players before making teams. Note that
selecting a player does two things: Adds a player to a team, and
removes that player from the list of available players. • The team
with the minimum sum of player numbers wins the game.
Your program should display: • a list of the players on each
team
• the remaining undrafted players (30 players should remain) • the
name of the winning team
Use java, Write the full code for the TeamGame program. Develop
appropriate methods for your subproblems.
In: Computer Science
The height of a piston, h, in inches, can be modeled by the equation y = 2cos x + 5, where x represents the crank angle. Find the height of the piston when the crank angle is 55°.
In: Math
4) Make the following binomial table, where column x =0,1,2,3,4,5. And p(x) is the probability of each event
| X | P(X) | x*p(x) | Ex2 * p(x) |
| 0 | .395 | 0 | 0 |
| 1 | .093 | .093 | .093 |
| 2 | .023 | .046 | .092 |
| 3 | .023 | .069 | .207 |
| 4 | .070 | .28 | 1.12 |
| 5 | .140 | .7 | 3.5 |
| 6 | .070 | .42 | 2.52 |
| 7 | .093 | .651 | 4.557 |
| 8 | .093 | .744 | 5.952 |
| Total | .999 | 3.003 | 18.041 |
5) Complete a probability histogram of the date above using the x and p(x) column.
6) Complete the following questions:
a) What is the probability that none of the product is from your company?
b) What is the probability that more than one product is from your company?
c) What is the probability that at least three products are from your company?
d) What is the probability that at most two products are from your company?
e) What is the probability that all of the 5 products are from your company? ________
f) What is the average number of products from your company? ____________
g) Using the range rule of thumb for usual values, what are the lowest and highest number of products you would expect to pick?
In: Statistics and Probability
One of the wagers in roulette is to bet that the ball will stop on a number that is a multiple of 3. (Both 0 and 00 are not included.) If the ball stops on such a number, the player wins double the amount bet. If a player bets $3, compute the player's expectation. (Round your answer to two decimal places.)
In: Statistics and Probability
For the amusement of the guests, some hotels have elevators on the outside of the building. One such hotel is 300 feet high. You are standing by a window 100 feet above the ground and 150 feet away from the hotel, and the elevator descends at a constant speed of 30 ft/sec, starting at time
t = 0,
where t is time in seconds. Let θ be the angle between the line of your horizon and your line of sight to the elevator.
(a) Find a formula for
h(t),
the elevator's height above the ground as it descends from the
top of the hotel.
h(t) =
(b) Using your answer to part (a), express θ as a function
of time
t.
θ(t) =
tan−1(2−t5)
Find the rate of change of θ with respect to
t.
| dθ |
| dt |
=
(c) The rate of change of θ is a measure of how fast the
elevator appears to you to be moving. At what height is the
elevator when it appears to be moving fastest?
h =
In: Math
The piston in the cylinder head of a locomotive has a stroke (twice the amplitude) of 1.0 m. If the piston moves with simple harmonic motion with an angular frequency of 200 rad/min, what is its maximum speed?
In: Physics
A manufacturer produces piston rings for an automobile engine. It is known that the ring diameter is normally distributed with σ = 0.001 millimeters. When a random sample of 16 rings is collected, the sample mean of the rings’ diameters is of x- = 74.036 millimeters.
a.) In order to find a confidence interval for the true mean piston ring diameter, which distribution table would you use?
b.) Find the lower bound of a 95% confidence interval for the mean piston ring diameter.
In: Statistics and Probability