Design a steam power plant that works as an ideal Regenerative Rankine cycle with 2 closed feedwater heaters cascaded backwards by selecting their extraction pressures to optimize cycle efficiency. The available steam conditions at the exit of the boiler are 3 MPa and 590 °C and the condenser pressure is 20 kPa. The steam flow rate at the inlet of the turbine is 80 kg/s. A T-s diagram for the cycle should be provided along with a table showing the pressure, temperature, enthalpy and entropy of all the states at the optimized point. Also, mention the net power output and rate of heat rejected from the cycle as well as the fractions of the working fluid extracted for each feedwater heaters at the design point.

5.Chromebooks.After schools closed for the remainder of the year, many school districts in Pa.were able to issue Chromebooks to families. In a random sample of 150 families in the Abington School District, 120 reported that they were able to receive Chromebooks. In a random sample of 180 families in theDowningtownAreaSchool District, 130 were able to receive Chromebooks.

a. Perform a 99% confidence intervalforthe differencein the trueproportion of families who receive Chromebooksin Abington andDowningtown School Districts.

b. Based on your interval, is there a possibility that the difference between the two true proportionscould be zero? Explain your answer.

c. Based on your previous answers, what would be your conclusion of a difference between the true proportions? (Would you fail to reject, or reject?)

A closed rigid tank contains 2 kg of water at 80 C and
quality of 0.5815. The tank is then heated until it contains only
saturated vapor. How much heat (in kJ) is added to reach this
condition? Include a drawing and plot the process on a P-V
diagram.

Organize the solution as
Given and drawing:
Assumptions:
First Law Analysis:
Solution:
PV diagram:

A closed and elevated vertical cylindrical tank with diameter 2.10 m contains water to a depth of 0.500 m . A worker accidently pokes a circular hole with diameter 0.0170 m in the bottom of the tank. As the water drains from the tank, compressed air above the water in the tank maintains a gauge pressure of 5.00×10³ Pa at the surface of the water. Ignore any effects of viscosity.

A)Just after the hole is made, what is the speed of the water as it emerges from the hole? (v=____)

B)What is the ratio of this speed to the efflux speed if the top of the tank is open to the air? (v/v_open=________)

C)How much time does it take for all the water to drain from the tank? (t=_______)

D)What is the ratio of this time to the time it takes for the tank to drain if the top of the tank is open to the air? (t/t_open=_______)

An air-standard Carnot cycle is executed in a closed system between the temperature limits of 350 and 1200 K. The pressures before and after the isothermal compression are 150 and 300 kPa, respectively. If the net work output per cycle is 0.5 kJ, determine (a) the maximum pressure in the cycle, (b) the heat transfer to air, and (c) the mass of air. Assume variable specific heats for air.

1. The following data, expressed as $10⁴, are the closed ledger accounts showing assets, liabilities, income, and expenses of Blue River Fabricators, Inc., a family owned firm that does not declare dividends. Prepare an income statement and balance sheet for the year. (Hint: some items belong to balance sheet and some are part of income statement) (3 points)

V+Consider a closed economy with fixed prices and wages. Suppose the consumption
function is given by
? = 50 + 0.5?
?
where C is consumption and ?
?
is disposable income. The investment function is
given by
? = 30 − 5?
where I is investment and r is the interest rate. The demand for money is given by
?/? = 200 + 2? − ℎ?
where M is the amount of money demanded, P is the price level, and h is a parameter
measuring the sensitivity of money demand to the interest rate. Assume that the
price level is fixed at P = 1.
(a) Assume that h=20. If government spending is G=20, taxes are T=10, and
the money supply is M=300, find the equilibrium levels of output and the
interest rate.

(b) Now assume that government spending decreases to 10. What is the
multiplier? Is the effect of government spending on output increased or
decreased when h is larger? Explain your answer intuitively.

(c) Now suppose taxes decrease to 0. What is the multiplier? Will the
multiplier be different than your answer in part (b)? Explain intuitively.

i am having trouble with b and c. could you do them in detail mainly the multipliers

A closed system consists of 0.5kg of superheated steam initially at 1MPa, 300 ⁰C. The system undergoes a reversible isothermal process during which the steam condenses to a saturated liquid whilst exchanging heat wih a reservoir at 30⁰C. Show the process on a T-s diagram and calculate the change in enthropy (kJ/K) of the system, the reservoir (surroundings) and the universe.

prove the sufficiency, let L be any closed contour in region R occupied by field A, suppose curl A=0 everywhere in R. then, since R is simply connected. L is the boundary of some surface S lying entirely in R. By Stoke's theorem, integral of A =0. prove that A is a potential field. ( potential and irrotational fields). please in details thx:)