A piston-cylinder device initially contains 0.3 m³ of nitrogen gas at 350 kPa and 35 ℃. An electric heater within the device is turned on and is allowed to pass a 240W for 6 minutes. Nitrogen expands at constant pressure, and a heat loss of 3000 J occurs during the process. Determine the final temperature of the nitrogen. (Average C_P for Nitrogen is 1.039 kJ/kgK and molecular weight of Nitrogen is 28.01 kg/kmol.)

The cylinder in the figure(Figure 1) has a moveable piston attached to a spring. The cylinder's cross-section area is 10 cm2, it contains 0.0048 mol of gas, and the spring constant is 1500 N/m. At 21 ∘C the spring is neither compressed nor stretched. How far is the spring compressed if the gas temperature is raised to 200 ∘C? Express your answer to two significant figures and include the appropriate units.

A single stage double acting air compressor having a clearance of 4% takes in air at 14.2 Psia and 60 and compresses it to 200 Psia. If the weight of the air compressed per minute is 50 lbs. and n = 1.35, compute: a) The work required to compress the air per minute b) The piston displacement if the compressor operates at 100 RPM c) The volume of free air measured at 14.7 Psia atmospheric pressure.

A piston and cylinder device (closed system) contain 2.25 mol of an ideal gas which
is compressed irreversibly at constant temperature from 423 K and 200 kPa to 8 bar.
The irreversible work applied for the compression is 15 % larger than the reversible
work for the same process. Determine the entropy change of the gas, the
surroundings and the total entropy change if the heat is rejected from the gas to
surroundings maintained at 25 oC.

1. Which of the following statements are IMPOSSIBLE? Choose all that apply.

A perfectly functioning hydraulic had a pressure of 38 psi in the fluid near the small piston and a pressure of 38 psi in the fluid near the big piston.

A 25 L container displaced 25 L of orange juice when fully submerged.

A substance underwent condensation during which its temperature remained constant at 45 °C.

A 37 N brick was fully submerged in water. The buoyant force on the brick was 37 N. As a direct result, the brick sank.

Last Tuesday, the Sun heated the Moon via conduction.

The temperature inside a physics laboratory chamber was measured to be 5 °F.

2. Which one of the following statements describes an object moving at a CONSTANT VELOCITY?

A spaceship traveled at a constant speed while making a right turn

The truck accelerated while making a u-turn.    

A moped traveled at a constant speed along a straight line path.

A car slowed down while making a left turn.

The motorcycle sped up from 45 mph to 61 mph while moving in a straight line.

Part B: An ideal gaseous reaction (which is a hypothetical gaseous reaction that conforms to the laws governing gas behavior) occurs at a constant pressure of 45.0 atm and releases 70.4 kJ of heat. Before the reaction, the volume of the system was 9.00 L . After the reaction, the volume of the system was 3.00 L .

Calculate the total internal energy change, ΔU, in kilojoules.

Part C:

An ideal gas (which is is a hypothetical gas that conforms to the laws governing gas behavior) confined to a container with a massless piston at the top. (Figure 2)  A massless wire is attached to the piston. When an external pressure of 2.00 atm is applied to the wire, the gas compresses from 5.40 to 2.70 L . When the external pressure is increased to 2.50 atm, the gas further compresses from 2.70 to 2.16 L .

In a separate experiment with the same initial conditions, a pressure of 2.50 atm was applied to the ideal gas, decreasing its volume from 5.40 to 2.16 L in one step.

If the final temperature was the same for both processes, what is the difference between q for the two-step process and q for the one-step process in joules?

The number of peanut M&Ms in a 2 ounce package is normally distributed with a mean of 28 and standard deviation 2; The number of Skittles in a 2 ounce package is normally distributed with a mean of 60 and standard deviation 4.

Questions 1-3: Suppose that I purchase two 2-ounce packages of peanut M&Ms and one 2-ounce package of Skittles.

1. Let X= the total number of pieces of candy in all three bags combined. What is the distribution of X?

2. What is the probability that the total number of pieces of candy in all three bags combined is less than 110?

3. What is the probability that the total number of M&Ms (in both bags combined) is greater than the number of Skittles?

In the game of​ roulette, a wheel consists of 38 slots numbered​ 0, 00,​ 1, 2,..., 36. To play the​ game, a metal ball is spun around the wheel and is allowed to fall into one of the numbered slots. If the number of the slot the ball falls into matches the number you​ selected, you win​ $35; otherwise you lose​ $1. Complete parts ​(a) through ​(g) below

(a) Construct a probability distribution for the random variable​ X, the winnings of each spin. x ​P(x)

​(Type integers or decimals rounded to four decimal places as​ needed.) ​

(b) Determine the mean and standard deviation of the random variable X. Round your results to the nearest penny.

muequals negative 0.05 sigmaequals 5.76

​(c) Suppose that you play the game 80 times so that nequals80. Describe the sampling distribution of x overbar​, the mean amount won per game.

The sample mean x overbar is approximately normal. skewed right. skewed left. approximately normal. What are the mean and standard deviation of the sampling distribution of x overbar​? Round your results to the nearest penny. mu Subscript x overbarequals 0.003 sigma Subscript x overbarequals 0.644 ​

(d) What is the probability of being ahead after playing the game 80 ​times? That​ is, what is the probability that the sample mean is greater than 0 for nequals80​? ​P(x overbargreater than​0)equals 0.3566 ​(Type an integer or decimal rounded to four decimal places as​ needed.)

​(e) What is the probability of being ahead after playing the game 240 ​times? ​P(x overbargreater than​0)equals nothing ​(Type an integer or decimal rounded to four decimal places as​ needed.) ​

(f) What is the probability of being ahead after playing the game 800 ​times? ​P(x overbargreater than​0)equals nothing ​(Type an integer or decimal rounded to four decimal places as​ needed.)

​(g) Compare the results of parts​ (d) through​ (f). What lesson does this teach​ you?

A. The probability of being ahead decreases as the number of games played decreases.

B. The probability of being ahead decreases as the number of games played increases.

C. The probability of being ahead increases as the number of games played increases.

D. The probability of being ahead remains the same as the number of games played varies.

Suppose small aircraft arrive at a certain airport according to a Poisson process with rate α = 8 per hour, so that the number of arrivals during a time period of t hours is a Poisson rv with parameter μ = 8t. (Round your answers to three decimal places.)

(a) What is the probability that exactly 8 small aircraft arrive during a 1-hour period?

What is the probability that at least 8 small aircraft arrive during a 1-hour period?

What is the probability that at least 12 small aircraft arrive during a 1-hour period?

(b) What is the expected value and standard deviation of the number of small aircraft that arrive during a 105-min period?

(c) What is the probability that at least 23 small aircraft arrive during a 2.5-hour period?

What is the probability that at most 11 small aircraft arrive during a 2.5-hour period?

Patients arrive at Max hospital for X-ray according to a Poisson process. There is an X-ray machine and arriving patients form a single line that feeds the X-ray machine in a first-come-first-served order. Past data show that the average wait for a patient is 30 minutes. The service time in the process takes, on an average, 10 minutes, exponentially distributed. a)Average number of patients in the system b)Average number of patients in the queue c)Average time a patient spends in the system d)What is the arrival rate? e)Probability that the server is idle f)Probability that there is at least one patient in the system g)Probability that there are less than or equal to 3 patients in the system h)Probability that there are 3 patients in the system i)Probability that there are more than or equal to 2 but less than or equal to 3 patients in the system