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b. Why would the chemical potential of a system in a liquid state vary with pressure...
An incompressible liquid undergoes an isothermal process during which pressure is increased from 200 kPa to...
An incompressible liquid undergoes an isothermal process during which pressure is increased from 200 kPa to 400 kPa. The specific volume of the liquid is 0.65 m3 /kg. Determine the specific internal energy change and specific enthalpy change.
Please solve. Calculate the chemical potential change in the state of change of a nonideal gas.
Please solve.
Calculate the chemical potential change in the state of change
of a nonideal gas.
2. The molar entropy Sm and molar volume Vm of some nonideal gas have been measured as a function of temperature and pressure and found to obey the following functional forms: Sma bln[mp] 7t where a 2 eV/K, b-1 eV/K and m-0.1 atm1. The gas undergoes a change in state from (7, = 100 K, p1-1 atm) to (72-500 K, p,-100 atm). Calculate the...
5. (a) Derive the following Maxwell relation for a fluid system: ()-), (b) Show that for...
5. (a) Derive the following Maxwell relation for a fluid system: ()-), (b) Show that for an ideal gas at a given temperature T, the chemical potential difference between an arbitrary pressure, P, and a reference pressure, Po, is given by u(P) – u(Po) = kbT In (P/Po). (c) For the case of an incompressible liquid, the volume per particle, v = V/N, is independent of the pressure; show that in this case, one has u(P) – ”(Po) = v...
During a constant pressure, nonflow (closed system) process, a gas loses 103 BTUs of heat to...
During a constant pressure, nonflow (closed system) process, a gas loses 103 BTUs of heat to the surroundings while it's volume changes from 2.2 ft3 to 0.7 ft3. If the temperature of the gas decreases by 7 oF and the system contains 3.3 lbm of gas, find the absolute pressure of the system in lbf/in2. cV for this gas is 0.229 BTU/lbm-oF. (Hint: For this process, ∆U = mcV∆T even though the process is not carried out at constant volume). State...
Please answer true or false and explain why for each of them. Thank you 1. Mark...
Please answer true or false and explain why for each of them.
Thank you
1. Mark with T (True) or F (False) (2 points each) • Joule Thompson experiment corresponds to process with constant enthalpy. . The state functions (U.H,G,A) act as thermodynamic potentials when represented as functions of their natural variables. • The Gibbs free energy is equal to the maximum PV work done by the system on the envi- ronment. . The standard enthalpy of formation for any...
2) Sketch the chemical potential vs pressure (y vs. x) for carbon dioxide at -56.6°C from...
2) Sketch the chemical potential vs pressure (y vs. x) for carbon dioxide at -56.6°C from about I to 10 atm, again labeling phases. Note that the carbon dioxide molar liquid volume is larger than the molar solid volume. Hint: It will be useful to look up the appropriate phase diagram for carbon dioxide over this pressure range.
(E4B.3(a) By how much does the chemical potential of copper change when the pressure exerted on...
(E4B.3(a) By how much does the chemical potential of copper change when the pressure exerted on a sample is increased from 100 kPa to 10 MPa? Take the mass density of copper to be 8960 kg m ?
3. (a) The schematic temperature dependence of the chemical potential of CO2 is given below. Show...
3. (a) The schematic temperature dependence of the chemical potential of CO2 is given below. Show how the melting pint (TT) will change when increase the pressure and justify your answer. Draw the new u-T line in the following scheme. (b) If this diagram is for water, repeat the same questions in (a). Solid Liquid Chemical potential, Gas Solid stable Liquid stable Gas stable Temperature, T
2 kg Water in a vertical piston cylinder arrangement, is initially at saturated liquid state at...
2 kg Water in a vertical piston cylinder arrangement, is initially at saturated liquid state at 3 bar. It is heated and undergoes constant pressure expansion to a state of saturated vapor. What is the work done by the piston cylinder arrangement to the environment? Neglect the mass of the piston, piston friction, kinetic and potential energy changes. Hint: this is a closed system problem, remember control volume boundary work concept. What is the heat transfer into the water?
Plant water relations overview We use the term water potential (Ψw) to describe the chemical potential...
Plant water relations overview We use the term water potential (Ψw) to describe the chemical potential of water, and our understanding of diffusion of water depends on our understanding of how various factors (such as temperature, pressure, presence of dissolved solutes) affect the water potential in various parts of a system. Since diffusion of a substance tends to occur downward along a chemical potential or free energy gradient, it also is important to understand how such gradients are established. By...
Please solve.
Calculate the chemical potential change in the state of change
of a nonideal gas.
2. The molar entropy Sm and molar volume Vm of some nonideal gas have been measured as a function of temperature and pressure and found to obey the following functional forms: Sma bln[mp] 7t where a 2 eV/K, b-1 eV/K and m-0.1 atm1. The gas undergoes a change in state from (7, = 100 K, p1-1 atm) to (72-500 K, p,-100 atm). Calculate the...
5. (a) Derive the following Maxwell relation for a fluid system: ()-), (b) Show that for an ideal gas at a given temperature T, the chemical potential difference between an arbitrary pressure, P, and a reference pressure, Po, is given by u(P) – u(Po) = kbT In (P/Po). (c) For the case of an incompressible liquid, the volume per particle, v = V/N, is independent of the pressure; show that in this case, one has u(P) – ”(Po) = v...
Please answer true or false and explain why for each of them.
Thank you
1. Mark with T (True) or F (False) (2 points each) • Joule Thompson experiment corresponds to process with constant enthalpy. . The state functions (U.H,G,A) act as thermodynamic potentials when represented as functions of their natural variables. • The Gibbs free energy is equal to the maximum PV work done by the system on the envi- ronment. . The standard enthalpy of formation for any...
2) Sketch the chemical potential vs pressure (y vs. x) for carbon dioxide at -56.6°C from about I to 10 atm, again labeling phases. Note that the carbon dioxide molar liquid volume is larger than the molar solid volume. Hint: It will be useful to look up the appropriate phase diagram for carbon dioxide over this pressure range.
(E4B.3(a) By how much does the chemical potential of copper change when the pressure exerted on a sample is increased from 100 kPa to 10 MPa? Take the mass density of copper to be 8960 kg m ?
3. (a) The schematic temperature dependence of the chemical potential of CO2 is given below. Show how the melting pint (TT) will change when increase the pressure and justify your answer. Draw the new u-T line in the following scheme. (b) If this diagram is for water, repeat the same questions in (a). Solid Liquid Chemical potential, Gas Solid stable Liquid stable Gas stable Temperature, T
2 kg Water in a vertical piston cylinder arrangement, is initially at saturated liquid state at 3 bar. It is heated and undergoes constant pressure expansion to a state of saturated vapor. What is the work done by the piston cylinder arrangement to the environment? Neglect the mass of the piston, piston friction, kinetic and potential energy changes. Hint: this is a closed system problem, remember control volume boundary work concept. What is the heat transfer into the water?
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