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5. Starting with the differential form of the First Law for a closed system, derive the...
4. Starting from the first law of thermodynamics and the ideal gas law, derive the relation...
4. Starting from the first law of thermodynamics and the ideal gas law, derive the relation between T2/T1 and P2/P1, in a isentropic compression, where subscripts 1 and 2 indicate the start and end of the process.
thermodynamics (5) Write the first law for a closed system, steady form, ignore kinetic and potential...
thermodynamics
(5) Write the first law for a closed system, steady form, ignore kinetic and potential energy. (does it use enthalpy or internal energy?) (6) Write the equation to evaluate the work for a closed system (p-v work) for processes where po" = constant. (7) What is the name of a reversible power cycle? What can you assume about the efficiency of this cycle?
the first question is done I need the others Consider a closed system that cannot do pressure volume work, but rathe...
the first question is done I need the others
Consider a closed system that cannot do pressure volume work, but rather does work of the form w = (xar The state variables for this system are n, T, X, and Y, and where X > 0. For this system dU = TAS + XDY la (7 pts) Using the definition of A derive an expression for dA for this system and derive th corresponding Maxwell relation. an (4 pts) Derive...
a) In thermodynamics, what is the second law efficiency? How does it differ from the first...
a) In thermodynamics, what is the second law efficiency? How does it differ from the first law efficiency? (2 marks) b) Can a system have a higher second law efficiency than the first law efficiency during a process? Give examples (Hint: Consider efficiencies of a reversible cycle). (2 marks) c) An ideal gas is stored in a closed vessel at pressure p and temperature T. If p = po, derive an expression for the specific exergy in terms of T,...
A monatomic ideal gas is initially at volume, pressure, temperature (Vi, Pi, Ti). Consider two different...
A monatomic ideal gas is initially at volume, pressure, temperature (Vi, Pi, Ti). Consider two different paths for expansion. Path 1: The gas expands quasistatically and isothermally to (Va, Pz. T2) Path 2: First the gas expands quasistatically and adiabatically (V2, P.,T-),where you will calculate P T. Then the gas is heated quasistically at constant volume to (Va. P2 T1). a. Sketch both paths on a P-V diagram. b. Calculate the entropy change of the system along all three segments...
For the ideal gas equation PV = RT, find an expression for (partial differential P/partial differential...
For the ideal gas equation PV = RT, find an expression for (partial differential P/partial differential V)_T by using the method of implicit differentiation (make sure you show all your work). Compare your answer to the result you get by first solving for P in the ideal gas equation and then taking the derivative. b) Repeat part (a) for the van der Waals equation of state.
4. Consider the change of state for 10 moles of ideal gas in a closed system...
4. Consider the change of state for 10 moles of ideal gas in a closed system as shown in the figure below, 600 HW1 P2 500 400 300 a 200 10아 3.0 3.5 4.0 4.5 50 5.5 Volume, liters The gas undergoes a change of state from point A to point B via the path shown by the two arrows Assuming the change of state is reversible, a. what temperature change does the gas undergo during the change of state...
I need help with part 2, thanks! Problem 4 (1) Use first law to directly prove...
I need help with part 2, thanks!
Problem 4 (1) Use first law to directly prove that work done by an ideal gas during an adiabatic process is CV (Ti -Tf), where T1 and Tf are the initial and final temperatures of the system. (2) Show that the heat transferred to an ideal gas system during an infinitesimal reversible process can be written as where c and ?,, are specific heat capacities under constant volume and pressure, respectively. Use this...
Question 2: (a) Write down the equation for the work done by an expanding gas and...
Question 2: (a) Write down the equation for the work done by an expanding gas and sketch this on a p-v diagram for a typical reversible process. [3 marks) (b) Starting from the first law of thermodynamics and the ideal gas law, show that for an isothermal expansion or compression of a gas, the process can be described by pv = constant. [5 marks] (c) Knowing that pv = constant for an isothermal process, derive the following equation for the...
A. Derive an equation from first principles that shows how the maximum non-expansion work in a re...
A. Derive an equation from first principles that shows how the maximum non-expansion work in a reversible isothermal-isobaric process depends on Gibbs free energy and hence chemical potential B. Using you derivation, show how the standard potential of an electrochemical reaction relates to the change in Gibbs free energy and the work done by the system 10P 2. A. Define both chemical potential and activity coefficient. B. Explain why it necessary to use activity coefficients when discussing ionic solutions? Within...
4. Starting from the first law of thermodynamics and the ideal gas law, derive the relation between T2/T1 and P2/P1, in a isentropic compression, where subscripts 1 and 2 indicate the start and end of the process.
thermodynamics
(5) Write the first law for a closed system, steady form, ignore kinetic and potential energy. (does it use enthalpy or internal energy?) (6) Write the equation to evaluate the work for a closed system (p-v work) for processes where po" = constant. (7) What is the name of a reversible power cycle? What can you assume about the efficiency of this cycle?
the first question is done I need the others
Consider a closed system that cannot do pressure volume work, but rather does work of the form w = (xar The state variables for this system are n, T, X, and Y, and where X > 0. For this system dU = TAS + XDY la (7 pts) Using the definition of A derive an expression for dA for this system and derive th corresponding Maxwell relation. an (4 pts) Derive...
a) In thermodynamics, what is the second law efficiency? How does it differ from the first law efficiency? (2 marks) b) Can a system have a higher second law efficiency than the first law efficiency during a process? Give examples (Hint: Consider efficiencies of a reversible cycle). (2 marks) c) An ideal gas is stored in a closed vessel at pressure p and temperature T. If p = po, derive an expression for the specific exergy in terms of T,...
A monatomic ideal gas is initially at volume, pressure, temperature (Vi, Pi, Ti). Consider two different paths for expansion. Path 1: The gas expands quasistatically and isothermally to (Va, Pz. T2) Path 2: First the gas expands quasistatically and adiabatically (V2, P.,T-),where you will calculate P T. Then the gas is heated quasistically at constant volume to (Va. P2 T1). a. Sketch both paths on a P-V diagram. b. Calculate the entropy change of the system along all three segments...
For the ideal gas equation PV = RT, find an expression for (partial differential P/partial differential V)_T by using the method of implicit differentiation (make sure you show all your work). Compare your answer to the result you get by first solving for P in the ideal gas equation and then taking the derivative. b) Repeat part (a) for the van der Waals equation of state.
4. Consider the change of state for 10 moles of ideal gas in a closed system as shown in the figure below, 600 HW1 P2 500 400 300 a 200 10아 3.0 3.5 4.0 4.5 50 5.5 Volume, liters The gas undergoes a change of state from point A to point B via the path shown by the two arrows Assuming the change of state is reversible, a. what temperature change does the gas undergo during the change of state...
I need help with part 2, thanks!
Problem 4 (1) Use first law to directly prove that work done by an ideal gas during an adiabatic process is CV (Ti -Tf), where T1 and Tf are the initial and final temperatures of the system. (2) Show that the heat transferred to an ideal gas system during an infinitesimal reversible process can be written as where c and ?,, are specific heat capacities under constant volume and pressure, respectively. Use this...
Question 2: (a) Write down the equation for the work done by an expanding gas and sketch this on a p-v diagram for a typical reversible process. [3 marks) (b) Starting from the first law of thermodynamics and the ideal gas law, show that for an isothermal expansion or compression of a gas, the process can be described by pv = constant. [5 marks] (c) Knowing that pv = constant for an isothermal process, derive the following equation for the...
A. Derive an equation from first principles that shows how the maximum non-expansion work in a reversible isothermal-isobaric process depends on Gibbs free energy and hence chemical potential B. Using you derivation, show how the standard potential of an electrochemical reaction relates to the change in Gibbs free energy and the work done by the system 10P 2. A. Define both chemical potential and activity coefficient. B. Explain why it necessary to use activity coefficients when discussing ionic solutions? Within...
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