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The reaction
There actors are well mixed but are not at steady state. The unsteady-state mass balance for each stirred tank reactor is shown below:
where
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Chapter 28 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
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- 3. 4.50 mol of N2 gas (Cym = 20.6 J mol K') is enclosed in a piston-cylinder assembly (closed system) and undergoes the cycle depicted graphically below. Assuming N2 behaves as an ideal gas and Cm is temperature independent over the given temperature range, calculate q, w, AU, and AH for each segment. Label each segment with the type of process. Note: segment 2→3 follows the relationship PV = nRT . 1.) 20.0 L 2.) 50.0 L 3.) 5.00 bar T= T; = T, V (L) P (bar)arrow_forwardAn ideal gas,Cp=5/2 R and Cv=3/2 R, is changed from P1=1 bar and V1=12m^3 to P2=12 bar and V2=1m^3 by the following mechanically reversible process. a)Isothermal compression b)Adiabatic compression followed by cooling at constant pressure c)Adiabatic compression followed by cooling at constant volume. Calculate Q,W,U and H in each case and find the total Q,W,H and U . Answers should be in kJ. SOLVE STEP BY STEP PLEASEarrow_forwardMaterial A with initial temperature of 80 ⁰C came into contact with material B with initial temperature of 15 ⁰C. What are the scenario/s that would likely to happen? W. Temperature of material B will be above 80 ⁰C X. Entropy of material A will increase Y. Energy transfer is from material B to material A Z. Temperature of material A will be below 15 ⁰C Choose the correct letter below. A.) If all 4 statements are true B.) If 3 of the 4 statements are true C.) If 2 of the 4 statements are true D.) If only 1 of the 4 statements is true E.) If none of the 4 statements is truearrow_forward
- QThe equilibrium relationship representing the crud oil and associated gas system is : P= P xi where po vapor pressure of the component i. The composition of a crude oil and the vapor pressures are given below xi Component C3 pº 0.20 190 i-C4 0.10 72.2 n-C4 0.10 51.6 i-C5 0.20 20.44 n-C5 0.20 15.57 CO₂ 0.20 1100 The reservoir pressure and temperature are 500 psia and 100°F, respectively. API Of crude oil is 28. Calculate the surface tension الد السطيarrow_forwardEntropy is one of the important coordinates in thermodynamics. Entropy shows the ratio of heat absorbed or rejected by temperature so that it can indicate the direction of heat flow. Entropy is useful for knowing the internal energy efficiency. Derive an equation for the change in the internal energy of a gas that satisfies the van der Waals equation of state. Assume the value of Cv satisfies the relationship: Cv=c1 + c2T, with c1 and c2 constant *application of the 3rd law of thermodynamicsarrow_forwardParts A-C have already been answered in a previous question I sub A counterflow heat exchanger operates at steady state while being well-insulated from the surroundings with air and ammonia flowing in separate streams. Ammonia enters at state 1 with -30°C and a quality of 30% and exits at state 2 as saturated vapor at -30°C. Air enters at state 3 with pressure 1 bar and temperature 295 K and exits at state 4 with pressure 1 bar and temperature 265 K. The flow rate of air is 10 kg/s. Ignore kinetic and potential energy effects, and take the dead state as 1 bar and 300 K. a. Describe the heat transfer inside the heat exchanger (what is transferring heat to what?) b. Determine the specific enthalpy of each state, in kJ/kg. c. Determine the mass flow rate of ammonia, in kg/s. d. Determine the rate of exergy destruction within the heat exchanger, in kW.e. Devise and evaluate an exergetic efficiency for the heat exchanger.arrow_forward
- Consider the mechanical system in Figure 1. Assume the system is in equilibrium. Let the states be defined as: 1(t) = Fk, (t) - The force on spring k1. 12(t) = ÿ1 (t) - The velocity of M1. • z3(t) = Fi(t) - The force on spring k2. • za(t) = ý2(t): The velocity of M2. M1 M2 Figure 1: Mechanical system The forces fi and f2 are the inputs to the system and the velocities ý, and y2, the outputs. Determine the following state space model for the system in terms of the masses, damping coefficients, spring constants and forces shown in Figure 1: x(t) = Ax(t) + Bu(t) %3D y(t) = Cx(t) + Du(t) %3Darrow_forwardAn unknown material, m, = 0.21 kg, at a temperature of T, = 76 degrees C is added to a Dewer (an insulated container) which contains m2 = 1.1 kg of water at T2 = 21 degrees C. Water has a specific heat of c,,= 4186 J/(kg·K). After the system comes to equilibrium the final temperature is T= 30.5 degrees C. Input an expression for the specific heat of the unknown material. Cu What is the specific heat in J/(kg-K)?arrow_forward3.2. Heat and Work 0.2 kg of argon (mon-atomic ideal gas, R = 0.208 kJ/kgK ), initially at 250K, are confined in an isochoric system of 0.15 m^3 volume, and 2.5 kg of xenon (mon-atomic ideal gas, R = 0.063 kJ/kgK ), initially at 420K, are confined in an isobaric piston-cylinder system at 1.8 bar. Both systems are brought into thermal contact and equilibrate their temperatures with no heat loss to the outside. What is the final temperatures, pressures and volumes of both gases, the work done by both systems, and the amount of heat transferred between the two systems and the total generation of entropy? (Sgen= ∫ Sgen dt ) and s=Cv =3/2R, Cp =5/2Rarrow_forward
- 4G ll Gll 26.9K/s O 9:01 PM 30: © Vo 4G1 55% LTÉ So, 1. Calculate and indicate the Force-Pare equivalent system in A 2. Assuming that the system is in equilibrium and that the support in A no allows movement in either direction (both displacement and rotation), indicate the reaction forces and moments acting at point А. 10 N-m SN 45° 50° 45° F1 150 mm 30° E -> 2arrow_forward1. One mole of a monatomic ideal gas is held at the start at a pressure of 11 atm and 1 L. The gas undergoes isothermal expansion to 4 L followed by adiabatic expansion to 6 L. The gas is then isothermally compressed to 1.70 atm and adiabatically compressed back to 1 L. STATE P (atm) v (L) т (к) 1 11 1 134 2 2.75 4 134 3 1.4 102.4 4 1.7 4.94 102.4 b. Complete the table below and show your work. Process Q (kJ) W (kJ) Δυ (kJ) дн (k) AS (J/K) 10 2 2 0 3 3 0 4 4 0 1arrow_forwardWhat temperature does the first solid form for a 20% wt% Sn-80% Pb. T(°C) 300 200 100+ Answer: 0 α L+a 18.3 20 Pb-Sn system L (liquid) 183°C 61.9 a + ß 60 C, wt% Sn L+BB 97.8 80 100arrow_forward
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