5.10. Find the fundamental equation for the intensive quantity eˆ = E/V in differential form. Also give an expression for the pressure P in terms of eˆ and sˆ = S/V . Define ρ = v−1 = N/V .
This problem is from a book "Thermodynamics and Statistical Mechanics An Integrated Approach by M. Scott Shell"
![2.* [10 points] Using the extensivity property of the entropy, find the fundamental equation for the
intensive quantity s - S/N in both differential and integrated forms](https://content.bartleby.com/qna-images/question/31b1cc7b-3038-4366-8192-3fa9a03f2f5b/2ada83a3-6f27-4f63-845a-8b3a319172ad/squz1tu.png)
Want to see the full answer?
Check out a sample Q&A here
Related Chemical Engineering Q&A
Find answers to questions asked by students like you.
Q: In certain composition ranges of mixtures of ethylene tetrachloride (C2Cl4), isopropyl alcohol, and ...
A: Part (c)The basis of the calculation is taken as 100 lbs of feed mixture containing 40 mass% C2Cl4, ...
Q: 3. Consider the following enzyme-catalyzed reaction of urea Urea + Urease (Urea. Urease)-> 2 NH, + C...
A: Part (a)Michaelis-Menten equation to be used is written as equation (1).The equation used to prepare...
Q: 5.9. Extraction of uranyl nitrate. A 20 wt% solution of uranyl nitrate (UN) in water is to be treate...
A: Dear student, we answer three parts in a question, so we are providing answers to the first three pa...
Q: .19 A liquid storage facility can be modeled by where y is the liquid level (m) and u is an inlet fl...
A: Part (a):Since all the derivatives are zero and y=u=0 at the nominal steady state, hence taking Lapl...
Q: A process is carried out in which a mixture containing 25.0 wt% methanol, 42.5% ethanol, and the bal...
A: Part (a)The flowchart for the given process is drawn below.Let ‘M’ represent methanol, ‘E’ represent...
Q: Problems 189 Inside the column a liquid stream fows downward and a vapor stream rises. At each point...
A: Part (a)100 mol of benzene-toluene equimolar mixture is fed into the column. ṅ1 mol/h represents the...
Q: The density of a particular fluid is given by the following equation:where rho = 64e^((7.9x10^-7)P) ...
A: part (a)Since exponential term is dimensionless hence units of 7.9x10^-7 is in^2/lbf as shown below ...
Q: PLease show all steps
A: Part (a)Let the reaction taking place in the CSTR be, S→P According to the Michaelis-Menten equation...
Q: Liquid oxygen is used in the steel industry, in the chemical industry, in hospitals, as rocket fuel ...
A: Answer:The following properties are given in the question,
Q: Ethylene oxide is formed by the partial oxidation of ethylene. Unfortunately some of the ethylene is...
A: Part (a) The schematic diagram of the given process is shown below.
Q: 3. Irreversible consecutive reactions A-Boccur in a jacketed, stirred-tank reactor as shown in Fig. ...
A: Let,V be the volume of the tank.ρi be the density of the inlet stream.Ci be the heat capacity of the...
Q: This problem is (7.16) from a book "Thermodynamics and Statistical Mechanics An Integrated Approach...
A: Number of liquid molecules present in the pot is N.Let the number of moles of liquid be n. It is def...
Q: PLEASE ANSWER (D) ONLY.
A: Since questions have too many parts, we are only answering first three parts.Part (a)For tank A,Mass...
Q: .Verizon 89% 5:33 PM Done 3. The inside of a soda can is at a pressure of 350 kPa (gauge pressure) a...
A: Part (a)First convert the given gauge pressure in absolute pressure in atm as:
Q: This problem is (8.11) from a book "Thermodynamics and Statistical Mechanics An Integrated Approach...
A: Part (a) For van der Waals equation of states, the equation used for internal energy, E is written b...
Q: An annular stainless steel (k = 16.6 W/m * K) fin of thickness 5 mm and outside diameter 3 cm is att...
A: Solution:Given thatThermal conductivity=k=16.6 W/m.KHeat transfer coefficient=h= 40 W/m2.KAtmospheri...
Q: Formaldehyde is produced by catalytic oxidation of methanol by the following reaction: CH3OH + 1/2 O...
A: The basis of the process is taken as 100 mol CH3OH fed to the catalytic reactor.In the reactor, the ...
Q: Please answer part (g) only.
A: Part g:The part can be solved in two ways:Apply final value theorem and find the ultimate value of t...
Q: A tank holds 100 gal of a water-salt solution in which 4.0 lb of salt is dissolved. Water runs into ...
A: Let the function for amount of salt (kg) in the tank at time ‘t’ minutes be, S(t).Now, the rate of c...
Q: details in photo, please show all steps
A: Part (a)Michaelis-Menten equation to be used is written as equation (1).The equation used to prepare...
Q: l Verizon 92% 11:26 PM Done Reynolds number a dimensionless number. It is defined as, Re = Where, p ...
A: Hello. Since second sub-part of your question does not provide the value of Reynolds number which is...
Q: Answer a - d. (a) What is the constant volume heat capacity (Cv) for HBr, assuming it is an ideal ga...
A: Dear student, we answer only threee questions in a thread. so, we are providing answers to the first...
Q: 2. A jacketed vessel is used to cool a process stream as shown in Fig. E2.The (i) The volume of liqu...
A: Click to see the answer
Q: The inner pipe of a double-pipe heat exchanger has an OD of 1.9 in. and contains 36 rectangular fins...
A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question...
Q: 100 mol/min of butane is combusted with 60% excess air. What is the molar flow rate of air to the co...
A: The reaction for combustion of butane is:
Q: Ethanol is produced by the hydration of ethylene. Some of the ethanol product is converted in an und...
A: Let the basis of the calculations be 100 moles of effluents from the reactor. Thus, the mole fractio...
Q: A loaded semi-truck consumes about 10 US gallons of diesel per hour (assuming an average speed of 60...
A: 1 barrel of crude oil produces 10 US gallons of diesel. So, the amount of diesel produced by the giv...
Q: 3.14. Limestone (calcium carbonate) particles are stored in 50-L bags. The void fraction of the part...
A: Part (a)The density of the solid limestone is calculated from its given specific gravity as:
Q: 4.2 Consider the following transfer function: Y(s) 3e- U(s) 1Os +1 (a) What is the steady-state gain...
A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question...
Q: Hi this is what it can help please provide the explanation for solutions don’t worry about the exac...
A: (a) To detrmine whether the contents are liquid, vapour, liquid in equilibrium with its vapourThe na...
Q: This problem is (6.30) from a book "Thermodynamics and Statistical Mechanics An Integrated Approach...
A: Hose is used for conveying water with the value of inside and outside diameter along with the given ...
Q: A plastic (k = 0.5 W/m*K) pipe carries a coolant at –35C with a heat-transfer coefficient of 300 W/m...
A: Part (a)Inner radius of the pipe is, r1 = 3/2 cm = 1.5x102 mOuter radius of the pipe is, r2 = 4/2 cm...
Q: (a) If 300 lb of air and 24.0 lb of carbon are fed to a reactor at 600 ° and after complete combusti...
A: Part (a)Moles of Carbon fed to the reactor is written as equation (1).Moles of Air fed to the reacto...
Q: 5.9 Two liquid storage systems are shown in Fig. E5.9. Each tank is 4 feet in diameter. For System I...
A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question...
Q: Cyclohexanol is a highly desired chemical precursor for the production of nylon (billions of kilogra...
A: Part (c)The Antoine equation to be used is written below.Here, Pi* is the vapor pressure of the comp...
Q: 1:02 AM ll Verizon 99%- Done 4. The enthalpy of vaporization of water at 100 °C is 2256.9 kJ/Kg. Ass...
A: Watson equation is to be used as written below. Here, ΔH1 is enthalpy of vaporization at T1.ΔH2 is e...
Q: You may have eaten “astronaut ice cream” as a kid at a science museum or planetarium to experience t...
A: Applying overall energy balance across the vacuum below in equation (1), the work term in overall en...
Q: Water at 20C with a mass flow rate of 1.0 kg/s enters an annulus formed by an inner pipe having an O...
A: Water is flowing at the rate of 1.0 kg/s in the annulus at the temperature 20°C. The inner pipe outs...
Q: How much heat (in kJ/hr) is released/absorbed (specify which) if 100 mol/hr of liquid n-heptane is c...
A: The combustion reaction of n-heptane is:
Q: 1. Countercurrent multistage extraction. Pure methylisobutyl ketone (MIK) of 200kg/h is used to extr...
A: For counter current multistage flow pure methyl isobutyl is used to extract acetone
Q: Public concern about the increase in C0, in the atmosphere has led to many proposals to eliminate 0 ...
A: Let the basis of the calculations be 1 mole of CO2 fed to the reactor. Since there is 70% conversion...
Q: Fuels for motor vehicles other than gasoline are being eyed because they generate lower levels of po...
A: Combustion reaction of propane with air is written as:Note that in the question CO2 and CO are given...
Q: ll Verizon 99% 1:01 AM Done 3. A vessel containing 50 liters of saturated steam at 150 °C is cooled ...
A: For initial conditions, use the steam table for saturated steam at T1 = 150°C. At this temperature,
Q: A fluid of unknown density is used in two manometers—one sealed-end, the other across an orifice in ...
A: It is given that a fluid of same unknown density is used in two manometers—one sealed-end, the other...
Q: A substrate is decomposed in the presence of an enzyme according to the Michaelis-Menten equation wi...
A: Part (a)Let the reaction taking place in the CSTR be, S→P According to the Michaelis-Menten equation...
Q: The T-x-y and P-x-y diagrams for the binary benzene-toluene system is shown below. a. The bubble poi...
A: Click to see the answer
Q: A petrochemical storage tank is cylindrical in shape with a diameter of 6 m and a height of 10 m. Th...
A: Calculate the characteristic length of the cylinder as shown below:
Q: The surface temperature of the electronic chip shown below is 75C and it is surrounded by ambient a...
A: The area of the upper surface of the chip carrier is calculated as:
Q: 5-36C The velocity of a fluid flowing in a pipe is to be measured by two different Pitot-type mercur...
A: Here in this setup we find the difference in stagnation pressure and static pressure heads of the fl...
Q: This problem is (6.13) from a book "Thermodynamics and Statistical Mechanics An Integrated Approach...
A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question...
