2) A steam power plant is operating on the ideal Reheat Rankine cycle. Steam enters the high-pressure turbine at 600 psia and 600 °F and exits the high-pressure turbine at 180 psia. The steam is then heated at constant pressure to a temperature of 500 °F before it enters the low-pressure turbine. The condenser operates at a pressure of 15 psia. If the water enters the pump at 120 ft³/min, a) Calculate the thermal efficiency of the cycle b) Calculate the net power generated by the plant (MW)
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- For an auditorium: Room condition: 26oC DPT, 19 oC WPT; Outside conditions: 35 oC DPT 27 oC WPT; Room heat gains: Sensible heat= 11.1 kW Latent Heat= 3.9 kW The conditioned air supplied to the room is 50 cm/min and contains 25 percent fresh air and 75 percent re-circulated room air. Determine; a) The DBT and WBT of supply air. b) The DBT and WBT of mixed fresh and re-circulated air before the cooling coil. c) The apparatus due point in bypass factor of the coil d) The refrigeration load on the cooling coil and the moisture removed by the coil.A vessel initially contains 80 gal of a brine solution containing 3 Ib of salt. Another br solution containing 0.5 lb of salt per gallon is poured in the tank at the rate of 2 gal/n while the well – stirred mixture leaves the tank at the same time rate. Find: a. The amount of salt in the tank at any time t. b. The amount of salt in the vessel after 6 minutes. c. The time at which the mixture in the tank contains 6 Ib of salt.For example, consider a tree with a trunk radius of 10.5 cm; imagine that the plant produced a layer of wood 0.5 cm thick in the previous year. As a consequence, the tree has 32.2 cm2 of new wood that conducts water from roots to leaves. Assume that each leaf loses water at a rate equal to the conducting capacity of 0.1 cm2 of wood; this plant can conduct enough water through its trunk to support 322 leaves. If the tree produces another 0.5 cm of wood this year, the new ring of wood will have a cross-sectional area of 33.8 cm2 . It is larger than the previous ring of wood and can support conduction to a greater number of leaves—338. Question: Imagine a tree that has a radius of 20 cm and that produces a new layer of wood 0.5 cm thick (the outer radius of the new wood is 20.5 cm and the inner radius is 20 cm). What is the cross-sectional area of the new layer of wood (CSA = pr2)? If each leaf needs 0.1 cm2 of wood to supply it with water, how many leaves can the tree have? If the…
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- H.W. 1) Calculate the volume of cylinder has 15 m height and 8 m diameter. 2) If we have other cylinder with the same height but it volume greater than first cylinder by 20%, how long its radius? 3) Write a program to calculate the volumetric and mass flow rate of a liquid flowing in a pipe with a velocity equal to 0.5 m/s. Knowing that the diameter of this pipe is 0.1 m and the density of this liquid is 890 kg/m³ ? 4) For the following distillation column write a code to find the value of stream B and the compositions of stream D? D=80 X% ? S%? T%? Z% ? F=100kg 15% X 25% S 40% T 20% Z B=? 15% X 25% S 40% T 20% Z 9 5) Compute the reaction rate constant for a first-order reaction given by the -E/RT Arrhenius law k = A e at a temperature T = 500 K. Here the activation energy is E=20 kcal/mol and the pre-exponential factor is A=10¹3 s¹. The ideal gas constant is R=1.987 cal/mol K.A 5000-gal aquarium is maintained with a pumping system that passes 100 gal of water per minute through the tank. To treat a certain fish malady, a soluble an- tibiotic is introduced into the inflow system. Assume that the inflow concentration of medicine is 10te−t/50 mg/gal, where t is measured in minutes. The well-stirred mixture flows out of the aquarium at the same rate. (a) Solve for the amount of medicine in the tank as a function of time. (b) What is the maximum concentration of medicine achieved by this dosing and when does it occur? (c) For the antibiotic to be effective, its concentration must exceed 100 mg/gal for a minimum of 60 min. Was the dosing effective?A student is concerned with the amount of air pollution students are exposed to in the school's parking lot after school. The student conducts an investigation to compare the quantity of particulate matter released from the diesel-powered buses, natural gas-powered buses, and the large and small cars as they idle waiting to pick up students. To make measurements, a small piece of white fabric is used to collect particulate matter from the tailpipe of each vehicle as it idles for five minutes. Each piece of fabric is then analyzed to measure the amount of particulate matter it collected. (i) Identify the independent variable in the investigation. (j) Identify one variable that was not mentioned in the description that could affect the results of the investigation. (k) Describe a realistic alternate sampling method to collect particulate matter from the vehicles in the investigation. (1) The student wants to ensure that the results are reliable. Explain how the student could modify the…
- A man and his parachute weigh 160 lbs and fall from rest to the ground. Before he parachute opens, air resistance (in pounds) is numerically equal to 1/2v (where v is the instantaneous velocity in ft/s) and, from the moment it opens, the resistance is 5/8 v2. If the parachute opens at 5 s, calculate the skydiver's velocity at any second t: a) Before opening the parachute. b) Find the distance he has fallen before the parachute opens. c) After opening the parachute. topic: ORDINARY DIFFERENTIAL EQUATIONSConsider a large vat containing sugar water that is to be made into soft drinks (see figure below). A B Suppose: The vat contains 230 gallons of liquid, which never changes. Sugar water with a concentration of 7 tablespoons/gallon flows through pipe A into the vat at the rate of 5 gallons/minute. • Sugar water with a concentration of 3 tablespoons/gallon flows through pipe B into the vat at the rate of 25 gallons/minute. The liquid in the vat is kept well-mixed. • Sugar water leaves the vat through pipe C at the rate of 30 gallons/minute. Let S(t) represent the number of tablespoons of sugar in the vat at time t, where t is given in minutes. (A) Write the DE model for the time rate of change of sugar in the vat: dS dt (B) Solve the differential equation to find the amount of sugar in the vat as a function of time. Your function will have an arbitrary constant K in it. Assume that K > 0. S(t) = (C) Suppose that there are 22 tablespoons of sugar in the vat at t = 0. How many tablespoons…My cat Pythagoras has purchased and installed in my back yard a large barrel with a 400-gallon capacity. It is initially half full of clean water. But he has three hoses feeding this barrel, each with a rate of flow of 2 gal./min. of water. Two provide the barrel with clean water, but the third contains a concentration of 2 g/gal. of liquid calculus text books. My other cat, Jolie, has decided to sabotage this process by puncturing a hole toward the bottom of this barrel that allows 4 gal./min. to leak. If we assume that there is a benevolent feline deity that blissfully stirs this barrel with a rather large spoon, then write a differential equation that mathematically models the rate at which the amount of liquid calculus text books changes in the barrel (at least up to the time it fills). Thereafter, solve this differential equation.