A piston-cylinder device contains a saturated mixture of steam and water having a total mass of 0.5 kg at a pressure of 160 kPa and an initial volume of 100 liters. Heat is then added and the fluid expands at constant pressure until it reaches a saturated vapor state.

a) Draw a diagram representing the process showing the initial and final states of the system.

b) Sketch this process on a P-v diagram with respect to the saturation lines, critical point, and relevant constant temperature lines, clearly indicating the initial and final states.

c) Determine the initial quality and temperature of the fluid mixture prior to heating. [quality x1 = 0.182, T1 = 113.3°C]

d) Determine the final volume of the steam after heating. [0.546 m3 (546 liters)]

A cylinder with a piston contains 0.300 mol of oxygen at 2.00×10⁵ Pa and 340 K . The oxygen may be treated as an ideal gas. The gas first expands isobarically to twice its original volume. It is then compressed isothermally back to its original volume, and finally it is cooled isochorically to its original pressure.

Find the work done by the gas during the initial expansion. W_initial =

Find the heat added to the gas during the initial expansion. Q_{initial =}

Find internal-energy change of the gas during the initial expansion.

Find the work done during the final cooling. W_final

Find the heat added during the final cooling; Q_final

Find the internal-energy change during the final cooling;

Find the internal-energy change during the isothermal compression.

A cylinder with a piston contains 0.200 mol of nitrogen at 1.70×10⁵ Pa and 320 K . The nitrogen may be treated as an ideal gas. The gas is first compressed isobarically to half its original volume. It then expands adiabatically back to its original volume, and finally it is heated isochorically to its original pressure.

Part A

Find the work done by the gas during the initial compression.

Correct

Part B

Find the heat added to the gas during the initial compression.

Correct

Part C

Find internal-energy change of the gas during the initial compression.

Correct

Part D

Find the work done by the gas during the adiabatic expansion.

Enter your answers numerically separated by commas.

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Part E

Find the heat added to the gas during the adiabatic expansion.

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Part F

Find the internal-energy change of the gas during the adiabatic expansion.

2.  The percentage of people in a population with a certain ailment (Ailment A) is  7.3%.

a.  If you select a sample of  10 people from this population, what is the probability that at most two of them will have Ailment A ?  

b.  What is the probability that at least 3 of them would have this ailment ?

c.  If you select a sample of  200 people, what is the probability that less than 10 will have ailment A ?  Use the normal approximation technique.

d.  What is the probability, in your sample of  200, that at least  20 will have Ailment A ?

4.  The accumulated miles between repairs for vehicle engines is 24,000 miles with a standard deviation of  2000 miles. The accumulated miles, which have been recorded over time, follow a normal distribution.

a.  Find the probability that an engine you just received will last longer than  26,000 miles.

b.  Find the probability that the mean accumulated mileage from a sample of  10 engines exceeds  26,000 miles.

c.  Find the 1^st, 2^nd, and 3^rdquartiles for the accumulated miles between repairs.

d.  Now, you are looking at vehicle transmissions.  The historical data for transmission mileages indicates a population mean of  16,000 miles with a standard deviation of 2600 miles.  The mileage for transmissions does not follow a normal distribution. Find the probability that, in a large train shipment of  40 transmissions, the average mileage for this sample will be less than  15,000 miles.

e.  If the average for your transmission sample of  40 falls below the bottom  10%, you are going to declare a stand-down of the workforce to determine what is going wrong.  What is the cutoff number of miles for the bottom 10% of your sample average?

f.  Back to the engines . . .  If a single engine is considered a “failure” if it doesn’t accumulate at least 22,000 miles between repairs, what is the chance that an engine will fail to meet its anticipated mileage accumulation?

g.  Given the criteria just stated, what would be the “expected number" of failures in the next 1000 engines that are placed into vehicles?

Use this constant dictionary as a global variable:

tile_dict = { 'A': 1, 'B': 3, 'C': 3, 'D': 2, 'E': 1, 'F': 4, 'G': 2, 'H': 4, 'I': 1, 'J': 8, 'K': 5, 'L': 1, 'M': 3, 'N': 1, 'O': 1, 'P': 3, 'Q': 10, 'R': 1, 'S': 1, 'T': 1, 'U': 1, 'V': 4, 'W': 4, 'X': 8, 'Y': 4, 'Z': 10 }

Implement function scrabblePoints(word) that returns the calculated points for the word based on the tile_dict above. The word parameter is a string. This function takes the string and evaluates the points based on each letter in the word (points per letter is set by the global dictionary). P or p is worth the same points. No points calculated for anything that is not A-Z or a-z.

[You may use upper() and isalpha() ONLY and no other method or built-in function]

Examples:

word = “PYTHON”

print(scrabblePoints(word))

returns:

14

word = “hello!!”

print(scrabblePoints(word))

returns:

8

word = “@#$=!!”

print(scrabblePoints(word))

returns:

0

Note: This function relies on scrabblePoints. Function you solved in Question 2.

Implement function declareWinner(player1Word = “skip”, player2Word = “skip”) that returns either “Player 1 Wins!”, “Player 2 Wins!”, “It’s a Tie”, “Player 1 Skipped Round”, “Player 2 Skipped Round”, “Both Players Skipped Round”. The player1Word and player2Word parameters are both type string. Assume input is always valid. This function should call on the function scrabblePoints to earn credit.

[No built-in function or method needed]

Examples:

player1Word = “PYTHON”

player2Word = “Pizza”

     print(declareWinner(player1Word, player2Word))

     returns:           

     Player 2 Wins!

              print(declareWinner(player1Word))

              returns:           

              Player 2 Skipped Round

Please do the second function only. I just needed to add the first function for reference

There is a 20 percent probability the economy will boom, 70 percent probability it will be normal, and a 10 percent probability of a recession. Stock A will return 18 percent in a boom, 11 percent in a normal economy, and lose 10 percent in a recession. Stock B will return 9 percent in boom, 7 percent in a normal economy, and 4 percent in a recession. Stock C will return 6 percent in a boom, 9 percent in a normal economy, and 13 percent in a recession. What is the expected return on a portfolio which is invested 20 percent in Stock A, 50 percent in Stock B, and 30 percent in Stock C?

a.) 8.25%

b.) 9.50%

c.) 7.40%

d.) 8.33%

e.) 9.45%

Studies indicate that the probability that a married man votes is 0.45, the probability that a married woman votes is 0.40, and the probability that a married woman votes given that her husband does is 0.60. Compute the following probabilities:
(a) Both a man and his wife vote.
(b) A man votes given that his wife does.

With probability 0.6, the present was hidden by mom; with probability 0.4, it was hidden by dad. When mom hides the present, she hides it upstairs 70 percent of the time and downstairs 30 percent of the time. Dad is equally likely to hide it upstairs or downstairs. Given that it is downstairs, what is the probability it was hidden by dad?

LetA be the probability of not wearing glasses and B be the probability of having brown eyes. Suppose both events are independent such that P ( A ) = 0.90  and P ( B ) = 0.70. We want to find what proportion are not wearing glasses or have brown eyes (or both). This means we must find P ( A ∪ B ).

In this case, we would use our union formula:

P ( A ∪ B ) = P ( A ) + P ( B ) − P ( A ∩ B ) = 0.90 + 0.70 − 0.63 = 0.97

Hence, P ( A ∪ B ) = 0.97 (try it yourself before proceeding). Please create your own probability of the union example and explain why subtraction is needed in the union formula. In other words, why would it be incorrect to just simply add the probabilities outright? Relate the example to your major. (Mayor is nursing)

1. The probability of event A is 60%, the probability of event B is 40%, and the probability of either A or B is 65%.

What is the probability of events A and B simutaneously?

2. 50% of items are Type A, 30% are Type B, and 20% are Type C. each type is broken up into V1 and V2. Type A is 80% V1, Type B is 60% V1, and Type C is 30% V1.

If a randomly selected type is V1, what is the probability it came from Type A?

Please show your work, thank you so much ! (;