Concept explainers
(a)
Interpretation:
The sign
Concept introduction:
Kinetic energy for a fluid that enters into a system with some mass flow rate and linear velocity is expressed as,
(b)
Interpretation:
The value of
Concept introduction:
Kinetic energy for a fluid that enters into a system with some mass flow rate and linear velocity is expressed as,
(c)
Interpretation:
An explanation for the result that
Concept introduction:
Kinetic energy for a fluid that enters into a system with some mass flow rate and linear velocity is expressed as,
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EBK ELEMENTARY PRINCIPLES OF CHEMICAL P
- Question 1: (a) An ideal gas is expanded reversibly and ad- iabutically. Decide which of q. w, AU, and AH are pos- itive, negative, or zero. (b) A 1.25 mole sample of an ideal gas is expanded from 320. K and an initial pressure of 3.10 bar to a final pressure of 1.00 bar, und Cr- SR/2. Calculate w for the following two cases: Condition: The expansion is isothermal and reversible.arrow_forwardQ1/ The ideal gas equation of state is given by: PV = nRT Where: P is the pressure (atm), V is the volume (L), 7 is the temperature (K), R=0.08206 (L atm)/(mol K) is the gas constant, and n is the number of moles. Real gases, especially at high pressures, deviate from this behavior. Their responses can be modeled with the van der Waals equation: nRT V-nb Where a and b are material constants. For CO₂ a 3.5924 L'atm/mol², and b=0.04267 L/mol. Calculate P from both equations for CO₂ gas with 40 values of V between 0.01 and 1.5 and display the results in: 1- Three-column table where the values of Vand both P are displayed in the first, second, and third columns, respectively. 2-Plot V versus both P in two different plots in the same figure with a solid line, black color, with circle marker. Add a title, labels, and the grid to the plot. Make all texts bold with font size of 13. Take T=298K and n=3 moles. nº a + √² Parrow_forward(1) The relationship between C P.m and C V.m can also be given by the relationship: CP.m - Cym = T| aT (a) Use the above equation to demonstrate that C P.m - C V.m - R for an ideal gas. (b) Demonstrate the expression C P.m - C V.m for a gas obeying the equation of state: PVm = RT + B(T)Parrow_forward
- 4. (a) Determine the reduced pressure (P,), volume (V,), and temperature (T, ) for a 50 L sample of water at 23 bar and 400 K. For H2O gas, Te = 647.14 K, P. = 220.64 bar, and Vc=55.95 L. (b) Determine the pressure, volume and temperature for a sample of hydrogen which is in a corresponding state with the H2O in part (a). For hydrogen, Te = 32.98 K, Pc = 12.93 bar and mc =64.20 L.arrow_forwardUsing the tables for water, determine the specified property data at the indicated states. (a) At p = 3 bar, v = 0.2 m³/kg, find T in °C and u in kJ/kg. (b) At T = 320ºC, v = 0.03 m³/kg, find p in MPa and u in kJ/kg. (c) At p 28 MPa, T = 600°C, find v in m³/kg and h in kJ/kg. (d) At T=10°C, v = 10 m³/kg, find pin kPa and h in kJ/kg.arrow_forwardConsider a gas that follows the equation of state P (V - B) = RT where b is a constant. If the compressibility factor Z = PV/RT is equal to Z= 0.85 at temperature T=50 C what is the value of the residual enthalpy. Express your result in kJ/kmol Please respond ASAParrow_forward
- Substitute the equation from Step 2 into the given equation for P and complete the partial derivative. (Use the following as necessary: kg, Q, T, U, and Up.) P = - -(3+), T - (ain(@)), КВТ = KBT Step 4 of 7 For an ideal monatomic gas, the following is true. (Use the following as necessary: T, U, and V.) (3V)₁ = 1 UT 0 Step 5 of 7 Give the equation for the canonical partition function Q. Remember that only the translational partition function needs to be considered for an ideal monatomic gas. (Use the following as necessary: e, h, kg, m, N, T, T, and V.) N (2πmkBT) Ve Nh³ Q = (2µmkµT)h³v X Step 6 of 7 Determine In(Q) using the equation for Q from Step 5. (Use the following as necessary: e, h, kB, M, N, π, T, and V.) Ve In(Q) N In (2μmkBT) Nh³ (2π m kBT) e N ln (V) + Nln Nh³ Substitute into the equation for P from Step 3 and solve the partial derivative. (Use the following as necessary: e, h, kg, m, N, π, T, and V.) NKB T P = V |KBTN- V Step 7 of 7 Rearrange the equation for P from Step…arrow_forward(5) The emissions from a manufacturing process contain gaseous pollutant that cause odors and fumes. The company plans to incinerate the 5,000 acfm exhaust stream. Estimate the volumetric (standard) flowrate of natural gas fuel required to increase the waste gas stream temperature from the initial 80°F to the required temperature of 2500°F. Energy (enthalpy) is transferred from the fuel to the gas. Neglect any possible heat losses in this process. The average net heating value of natural gas is 850 - 1050 Btu/std-ft. Include a diagram of the scenario.arrow_forward| 4. (a) Determine the reduced pressure (P,), volume (V,), and temperature (T, ) for a 50 L sample of water at 23 bar and 400 K. For H20 gas, Te = 647.14 K, Pc = 220.64 bar, and Ve =55.95 L. | (b) Determine the pressure, volume and temperature for a sample of hydrogen which is in a corresponding state with the H2O in part (a). For hydrogen, Te = 32.98 K, Pc = 12.93 bar and Vm,c =64.20 L.arrow_forward
- Find AS (cal/K) when 6.4 mol of some gas O2 is heated from 1.2 K to 2.4 K with P held fixed at 1.00 atm. Where Cpm=a+bT,where value of a=9.46 cal.mol1K1 and b=0.00135 cal.mol1K2. Answer:arrow_forward3. (a) jf 10.0 mjL of H2jSO4 (sp. jr. 1.50, containing 48.7% of combined SO3 by weight) is diluted to 400 mL, what is the normality of the solution as an acid? (b) What volume of 6.00 M H2SO4 should be added to this in order to make the resulting mixture 1.00N as an acid? FW's : H2SO4 = 98; SO3 = 80 %3Darrow_forwardQ2 / a cylinder containing ideal gas with a pressure of 2 atmosphere, a volume of 3 liters and a temperature of 300 kelvin. The following operations were performed on it: 1- Heat it under constant pressure to 500 K. 2 cooled under constant volume to 250 kelvin. 3 Inventory at constant pressure to 150 K. 4 Preheat until it returns to its desired initial state / plot the processes in the pressure and volume curve (7 - P).arrow_forward
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