Please include detailed work for answers

A piston contains 770 moles of an ideal monatomic gas that initally has a pressure of 1.23 × 10⁵ Pa and a volume of 4.2 m³. The piston is connected to a hot and cold reservoir and the gas goes through the following quasi-static cycle accepting energy from the hot reservoir and exhausting energy into the cold reservoir.

1. The pressure of the gas is increased to 4.23 × 10⁵ Pa while maintaining a constant volume.
2. The volume of the gas is increased to 11.2 m³ while maintaining a constant pressure.
3. The pressure of the gas is decreased to 1.23 × 10⁵ Pa while maintaining a constant volume.
4. The volume of the gas is decreased to 4.2 m³ while maintaining a constant pressure.

It may help you to recall that CVCV = 12.47 J/K/mole and CPCP = 20.79 J/K/mole for a monatomic ideal gas, and that the number of gas molecules is equal to Avagadros number (6.022 × 10²³) times the number of moles of the gas.

1)How much energy is transferred into the gas from the hot reservoir? ___J

2)How much energy is transferred out of the gas into the cold reservoir? ___J

3)How much work is done by the gas? ___J

A piston contains 600 moles of an ideal monatomic gas that initally has a pressure of 2.44 × 105 Pa and a volume of 1.8 m3. The piston is connected to a hot and cold reservoir and the gas goes through the following quasi-static cycle accepting energy from the hot reservoir and exhausting energy into the cold reservoir. The pressure of the gas is increased to 5.44 × 105 Pa while maintaining a constant volume. The volume of the gas is increased to 8.8 m3 while maintaining a constant pressure. The pressure of the gas is decreased to 2.44 × 105 Pa while maintaining a constant volume. The volume of the gas is decreased to 1.8 m3 while maintaining a constant pressure. It may help you to recall that CV C V = 12.47 J/K/mole and CP C P = 20.79 J/K/mole for a monatomic ideal gas, and that the number of gas molecules is equal to Avagadros number (6.022 × 1023) times the number of moles of the gas. 1) How much energy is transferred into the gas from the hot reservoir? J 2) How much energy is transferred out of the gas into the cold reservoir? J 3) How much work is done by the gas? J 4) What is the efficiency of this cycle?

Clancy has $1,200. He plans to bet on a boxing match between Sullivan and Flanagan. For $4, he can buy a coupon that pays $10 if Sullivan wins and nothing otherwise. For $6 he can buy a coupon that will pay $10 if Flanagan wins and nothing otherwise. Clancy doesn’t agree with these odds. He thinks that the two fighters each have a probability of 1/2 of winning. If he is an expected utility maximizer who tries to maximize the expected value of lnW, where lnW is the natural log of his wealth, it would be rational for him to buy a. 50 Sullivan coupons and no Flanagan coupons. b. 100 Sullivan coupons and no Flanagan coupons. c. 50 Flanagan coupons and no Sullivan coupons. d. 100 Flanagan coupons and no Sullivan coupons. e. 100 of each kind of coupon

Create a dynamic array-based Queue ADT class in C++ that contains enqueue(Inserts newElement at the back ) and dequeue(Removes the frontmost element ). If the size of the array is equal to the capacity a new array of twice the capacity must be made.

The interface is shown:

class Queue {
    private:
        int* elements;  
        unsigned elementCount;  // number of elements in the queue
        unsigned capacity;      // number of cells in the array
        unsigned frontindex;    // index the topmost element
        unsigned backindex;     // index where the next element will be placed

    public:
        // Description: Constructor
        Queue();


        // Description: Inserts newElement at the back (O(1))
        void enqueue(int newElement);

 
        // Description: Removes the frontmost element (O(1))
        // Precondition: Queue not empty
        void dequeue();


        // Description: Returns a copy of the frontmost element (O(1))
        // Precondition: Queue not empty
        int peek() const;


        // Description: Returns true if and only if queue empty (O(1))
        bool isEmpty() const;
};

Thanks!

1. You've always wondered about the acceleration of the elevators in the 101 story high Empire State Building. One day, while visiting New York, you take your bathroom scale into the elevator and stand on it. The scale reads 183 lblb as the door closes. As the elevator moves upward the scale reading varies between a minimum value of 144 lblb and a maximum value of 233 lb.

a) What is your mass in kg?

b) What is the magnitude of the acceleration as the elevator starts upward?

c) What is the magnitude of the acceleration as the elevator brakes to a stop?

2. Three blocks connected by ideal strings are being pulled along a horizontal frictionless surface by a horizontal force F⃗ F→F_vec. (Figure 1) The masses of the three blocks are  MA=MA= 14.0 kg, MB= 21.8 kg, and MC= 43.1 kg, Answer the following questions concerning the motion of the blocks.

a) If the blocks move across the horizontal frictionless surface with a constant velocity of 2.5 m/s, what is the horizontal force F⃗ F→F_vec?

2. There is a 50% chance that you will study for the exam and earn the highest grade in the class, and a 75% chance that you will earn the highest grade in the class.

Q The probability that you will study for the exam given that you earn the highest grade in the class is:

3. Cast two dice (one red, and one green) and add the numbers facing up. Let

E: The green die shows 2 .
F: The sum is 5 .
P(E|F) =

  P(F|E) =

The table below lists the frequency of wins for different post positions in a horse race. A post position of 1 is closest to the inside​ rail, so that horse has the shortest distance to run.​(Because the number of horses varies from year to​ year, only the first 10 post positions are​ included.) Use a 0.05 significance level to test the claim that the likelihood of winning is the same for the different post positions. Based on the​ result, should bettors consider the post position of a horse​ race?

Post_Position   Wins
1   19
2   15
3   11
4   14
5   14
6   8
7   7
8   13
9   5
10   12

Determine the null and alternative hypotheses.

Upper H 0H0​:

▼

At least one post position has a different frequency of wins than the others.

Wins occur with all different frequency in the different post positions.

Wins occur with equal frequency in the different post positions.

At least one post positions have a different frequency of wins than the others.

Upper H 1H1​:

▼

At least one post positions have a different frequency of wins than the others.

At least one post position has a different frequency of wins than the others.

Wins occur with all different frequency in the different post positions.

Wins occur with equal frequency in the different post positions.

Calculate the test​ statistic,

chi squaredχ2.

chi squaredχ2equals=nothing

​(Round to three decimal places as​ needed.)

Calculate the​ P-value.

​P-valueequals=nothing

​(Round to four decimal places as​ needed.)

What is the conclusion for this hypothesis​ test?

A.

RejectReject

Upper H 0H0.

There is

sufficientsufficient

evidence to warrant rejection of the claim that the likelihood of winning is the same for the different post positions.

B.

Fail to rejectFail to reject

Upper H 0H0.

There is

sufficientsufficient

evidence to warrant rejection of the claim that the likelihood of winning is the same for the different post positions..

C.

Fail to rejectFail to reject

Upper H 0H0.

There is

insufficientinsufficient

evidence to warrant rejection of the claim that the likelihood of winning is the same for the different post positions.

D.

RejectReject

Upper H 0H0.

There is

insufficientinsufficient

evidence to warrant rejection of the claim that the likelihood of winning is the same for the different post positions.

Based on the​ result, should bettors consider the post position of a horse​ race?

NoNo

YesYes

Click to select your answer(s).

A mass of 3 kg of saturated liquid-vapor mixture of water is contained in a piston-cylinder device at 175 kPa. Initially, 2 kg of the water is in the liquid phase and the rest is in the vapor phase. An electrical heater is in operation, and the piston rises until it hits a set of stops, which are set at double the initial volume. Electrical heating continues until the pressure reaches 500 kPa. Determine (a) the initial and final temperatures, (b) the mass of liquid water when the piston first hits the stops, and (c) the electrical work done during this process. Show all equations.