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7. (4 ptš) Co equation of state, PV- n(RT+ BP) where B is a constant. nsider...
8. 10 Point Bonus! The Ideal Gas Equation of State is pV = nRT, where n=...
8. 10 Point Bonus! The Ideal Gas Equation of State is pV = nRT, where n= number of moles of gas & R is the ideal the gas constant. The Van der Waals Equation of State is briefly discussed in Ch. 5 of the book by Reif. It is an empirical, crude attempt to improve on the Ideal Gas Model by allowing gas molecules to interact with each other. For one mole of non-ideal gas this equation of state is...
3. A gas obeys the equation of state PV = nRT - an'/V, where n is the number of moles of gas and a is constant. Sub...
3. A gas obeys the equation of state PV = nRT - an'/V, where n is the number of moles of gas and a is constant. Substitute with rearrangement into the differential equation for work, and integrate from Vito V2 to find an equation for the work done by this gas as the result of a reversible isothermal process. Show algebraically that the work is proportional to n to the first power.
3. A gas obeys the equation of state PV = nRT - an'/V, where n is...
3. A gas obeys the equation of state PV = nRT - an'/V, where n is the number of moles of gas and a is constant. Substitute with rearrangement into the differential equation for work, and integrate from Vito V2 to find an equation for the work done by this gas as the result of a reversible isothermal process. Show algebraically that the work is proportional to n to the first power.
3. (20 points) Sandler 6.18 The Clausius equation of state is P(V – b) = RT...
3. (20 points) Sandler 6.18 The Clausius equation of state is P(V – b) = RT where b is a constant. (a) Show that for this volumetric equation of state Cp(P,T) = Cy(P,T) +R Cp(P,T) = CP(T) Cy(V,T) = Ci(T) (b) For a certain process the pressure of a gas must be reduced from an initial pressure P, to the final pressure P2. The gas obeys the Clausius equation of state, and the pressure reduction is to be accomplished by...
1. It has been claimed that the equation of state: Z = 1 + (BP/RT) can...
1. It has been claimed that the equation of state: Z = 1 + (BP/RT) can be expressed in a V-explicit as well as in a P-explicit form. If so, similar to the ideal gas equation of state PV = RT, one should be able to compute residual properties (e.g. GR, HR, SR) using two different types of integrals and both approaches should lead to the same expression for the computed residual property. Test whether this claim is true for...
(a) One mole of a monoatomic van der Waals gas obeys the equation of state A3. ) (V-b)=RT (p+ and its internal energy is expressed as U CvT where Cv is the molar isochoric heat capacity of an ideal g...
(a) One mole of a monoatomic van der Waals gas obeys the equation of state A3. ) (V-b)=RT (p+ and its internal energy is expressed as U CvT where Cv is the molar isochoric heat capacity of an ideal gas. The gas is initially at pressure p and volume V (i) Explain the physical meaning of the parameters a and b in the equation of state of the gas (ii) Write down the equation that defines entropy in thermodynamics. Define...
2. The graph in the shows a pV diagram with reversible work for 3.0 moles of...
2. The graph in the shows a pV diagram with reversible work for 3.0 moles of ideal argon gas. Process ab is isobaric, bc ischoric, and ca adiabatic. p(Pa X 105) 2.0 0 0.010 0.040 a. What is the pressure pa, and what are the temperatures Ta,Tb, and T? b. For each of the three processes: ab, bc, ca find Q, AU and W. c. For the entire circuit a + b + c + a what are Q, AU...
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...
2. The following equation of state for one mole of a non-ideal gas is proposed as...
2. The following equation of state for one mole of a non-ideal gas is proposed as a modified version of the van der Waals equation: RT a P = 1-6 - um Where V is the volume, and a, b, n are constants in terms of characteristics of the gas. (a) Express Vc, Pc, and Tc in terms of a, b, n and R. (b) Estimate the critical compression factor, Zc. (c) Write the equation of state in terms of...
4. The following equation of state for 1 mole of a real gas is proposed: RT...
4. The following equation of state for 1 mole of a real gas is proposed: RT a P = V-bT RTV2 where a and b are constants characteristics of the gas. (a) What is the relation between the Boyle temperature (B) and the critical temperature (Tc)? (b) For the real gases following above equation of state, show that the maximum attractive interaction between gas molecules is located 2 - Tp in P, 1 under the condition of temperature, 3 irrespective...
8. 10 Point Bonus! The Ideal Gas Equation of State is pV = nRT, where n= number of moles of gas & R is the ideal the gas constant. The Van der Waals Equation of State is briefly discussed in Ch. 5 of the book by Reif. It is an empirical, crude attempt to improve on the Ideal Gas Model by allowing gas molecules to interact with each other. For one mole of non-ideal gas this equation of state is...
3. A gas obeys the equation of state PV = nRT - an'/V, where n is the number of moles of gas and a is constant. Substitute with rearrangement into the differential equation for work, and integrate from Vito V2 to find an equation for the work done by this gas as the result of a reversible isothermal process. Show algebraically that the work is proportional to n to the first power.
3. A gas obeys the equation of state PV = nRT - an'/V, where n is the number of moles of gas and a is constant. Substitute with rearrangement into the differential equation for work, and integrate from Vito V2 to find an equation for the work done by this gas as the result of a reversible isothermal process. Show algebraically that the work is proportional to n to the first power.
3. (20 points) Sandler 6.18 The Clausius equation of state is P(V – b) = RT where b is a constant. (a) Show that for this volumetric equation of state Cp(P,T) = Cy(P,T) +R Cp(P,T) = CP(T) Cy(V,T) = Ci(T) (b) For a certain process the pressure of a gas must be reduced from an initial pressure P, to the final pressure P2. The gas obeys the Clausius equation of state, and the pressure reduction is to be accomplished by...
1. It has been claimed that the equation of state: Z = 1 + (BP/RT) can be expressed in a V-explicit as well as in a P-explicit form. If so, similar to the ideal gas equation of state PV = RT, one should be able to compute residual properties (e.g. GR, HR, SR) using two different types of integrals and both approaches should lead to the same expression for the computed residual property. Test whether this claim is true for...
(a) One mole of a monoatomic van der Waals gas obeys the equation of state A3. ) (V-b)=RT (p+ and its internal energy is expressed as U CvT where Cv is the molar isochoric heat capacity of an ideal gas. The gas is initially at pressure p and volume V (i) Explain the physical meaning of the parameters a and b in the equation of state of the gas (ii) Write down the equation that defines entropy in thermodynamics. Define...
2. The graph in the shows a pV diagram with reversible work for 3.0 moles of ideal argon gas. Process ab is isobaric, bc ischoric, and ca adiabatic. p(Pa X 105) 2.0 0 0.010 0.040 a. What is the pressure pa, and what are the temperatures Ta,Tb, and T? b. For each of the three processes: ab, bc, ca find Q, AU and W. c. For the entire circuit a + b + c + a what are Q, AU...
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...
2. The following equation of state for one mole of a non-ideal gas is proposed as a modified version of the van der Waals equation: RT a P = 1-6 - um Where V is the volume, and a, b, n are constants in terms of characteristics of the gas. (a) Express Vc, Pc, and Tc in terms of a, b, n and R. (b) Estimate the critical compression factor, Zc. (c) Write the equation of state in terms of...
4. The following equation of state for 1 mole of a real gas is proposed: RT a P = V-bT RTV2 where a and b are constants characteristics of the gas. (a) What is the relation between the Boyle temperature (B) and the critical temperature (Tc)? (b) For the real gases following above equation of state, show that the maximum attractive interaction between gas molecules is located 2 - Tp in P, 1 under the condition of temperature, 3 irrespective...
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