A pressure vessel with a constant volume of V, and constant temperature of T, is being...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
A pressure vessel with a constant volume of V, and constant temperature of T, is being filled with a gas stream. The tank is initially filled with N mole of the gas. The change in the number of moles of gas in the vessel is a function of the difference in the inlet pressure and also the tank pressure, as follows: dN dt Pin(t)- P(t) R R is constant and it is resistance to the flow, caused by the valve and pipe (R-10). P.lt) (resistance of valve and pipe) P[t] N(t) V You can assume the gas follows the ideal gas law: P(t)V = 8.3N(t). T Assuming that the inlet pressure increases as a Heaviside function, as follows: Pin(t) = 5u(t) And the initial vessel pressure is equal to 1 (P(0)=1), calculate the vessel pressure (P(t)) as a function of time, using Laplace transform. • Assume that the vessel volume (V) is 83, and the temperature is 100. What is the value of P(t) at t=1? • What is the maximum vessel pressure? A pressure vessel with a constant volume of V, and constant temperature of T, is being filled with a gas stream. The tank is initially filled with N mole of the gas. The change in the number of moles of gas in the vessel is a function of the difference in the inlet pressure and also the tank pressure, as follows: dN dt Pin(t)- P(t) R R is constant and it is resistance to the flow, caused by the valve and pipe (R-10). P.lt) (resistance of valve and pipe) P[t] N(t) V You can assume the gas follows the ideal gas law: P(t)V = 8.3N(t). T Assuming that the inlet pressure increases as a Heaviside function, as follows: Pin(t) = 5u(t) And the initial vessel pressure is equal to 1 (P(0)=1), calculate the vessel pressure (P(t)) as a function of time, using Laplace transform. • Assume that the vessel volume (V) is 83, and the temperature is 100. What is the value of P(t) at t=1? • What is the maximum vessel pressure?
Expert Answer:
Related Book For
Posted Date:
Students also viewed these accounting questions
-
Managing Scope Changes Case Study Scope changes on a project can occur regardless of how well the project is planned or executed. Scope changes can be the result of something that was omitted during...
-
A 10.0 L scuba diving tank is to be filled with compressed air. The density of air can be approximated using the ideal gas law: RT where Pis the pressure, T the absolute temperature, and Mair = 29...
-
KYC's stock price can go up by 15 percent every year, or down by 10 percent. Both outcomes are equally likely. The risk free rate is 5 percent, and the current stock price of KYC is 100. (a) Price a...
-
Holt Company purchased a computer for $8,000 on January 1, 2009. Straight-line depreciation is used, based on a 5-year life and a $1,000 salvage value . In 2011, the estimates are revised. Holt now...
-
Compute cash flows from investing activities using the following company information. Sale of short-term investments . . . . . . . . . $12,000 Cash collections from customers . . . . . . . . 32,000...
-
A regular hexagon with side length 6 units is rotated in 3D space to form a solid. Calculate the surface area of the resulting shape.
-
To measure the mass flowrate of air through a 6-in.-insidediameter pipe, local velocity data are collected at different radii from the pipe axis (see Table). Determine the mass flowrate corresponding...
-
A liquid containing 60 mol% toluene and 40 mol% benzene is continuously distilled in a single-equilibrium-stage unit at atmospheric pressure. What percent of benzene in the feed leaves in the vapor...
-
From your perspective, what are the three most important things you have learned thus far this semester? Completely discuss and be specific. How are you going to use this new knowledge in your day to...
-
The Evanstonian is an upscale independent hotel that caters to both business and leisure travelers. When a guest calls room service at The Evanstonian, the room-service manager takes down the order....
-
Calculate early start schedule, late finish, late start and slack Identify critical path(s). Where does the assumption of certainty enter into this model? What is the impact of elements being...
-
A Japanese investor can earn a 1 percent annual interest rate in Japan or about 3.5 percent per year in the United States. If the spot exchange rate YEN/USD is 101, what is the spot rate one-year...
-
4 in Assume W=your month + your day of birth =__ 31 lbs and d=2+(month of birth)/2 = Draw the free-body diagram of the shaft A-B-C, assuming the unbalanced torque to be resisted by the support at C....
-
John 3:16, Is Consideration present? Identify the consideration, Would God's contract with believers be enforceable under the law of contracts? Explain why? State the Question to be answered. State...
-
Formative Exercise Exercise Description: Using concepts, issue, and skills you learnt form the readings, PowerPoints notes, the Business Case provided in the next few slides, to address the questions...
-
Suppose that a random variable is normally distributed with mean = 2 and variance o = 16 (we write X~ N(2, 16)). We will calculate the probability that the random variable takes on a value less than...
-
A. Draw two models, a monopoly market (price-setters) and a perfectly competitive market (price-takers). On each of your models show the equilibrium point and show any areas of consumer surplus,...
-
Consider the function f and its graph. a. Estimate the zeros of the area function b. Estimate the points (if any) at which A has a local maximum or minimum. c. Sketch a graph of A, for 0 x 10,...
-
Create the following three matrices: (a) Calculate A + B and B + A to show that addition of matrices is commutative. (b) Calculate A + (B + C) and (A + B) + C to show that addition of matrices is...
-
A water tower has the geometry shown in the figure (the lower part is a cylinder with radius Rand height h, and the upper part is a half sphere with radius R). Determine the radius R if h = 10m and...
-
The number of combinations Cn, r of taking r objects out of n objects is given by: Cn,r = n!/r!(n-r)! (a) Determine how many combinations are possible in a lottery game for selecting 6 numbers that...
-
Find the heat transfer rate \(\mathrm{q}_{\mathrm{w}}\) at \(\mathrm{x}=10 \mathrm{~cm}\) and \(100 \mathrm{~cm}\) for the flat plate given in Problem 7.31. Problem 7.31 A flat plate of \(4...
-
Obtain the lift and propulsive force coefficients of an airfoil given in Example 8.6, and compare the results with Problem 8.30. Assume the profile pitches about midchord. Example 8.6 The NACA 0012...
-
What are the values of the feathering parameters for the airfoils given by Examples 8.5 and 8.6? Examples 8.5 Assume an airfoil pitching about its leading edge and plunging with \(k=0.35\) as follows...
Study smarter with the SolutionInn App