Describe how to calculate the work for a gas that follows the equation of state: LaTeX:...
Describe how to calculate the work for a gas that follows the equation of state: LaTeX: PV=\text RT+\alpha P P V = R T + α P if the process is carried out reversibly and isothermally. How would this quantity compare it the work is carried out in a single step?
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Describe how to calculate the work for a gas that follows the
equation of state: LaTeX:...
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...
Five moles of nitrogen gas is expanded in a piston-cylinder assembly from an initial state of...
Five moles of nitrogen gas is expanded in a piston-cylinder assembly from an initial state of 3 bar and 88 ºC to a final pressure of 1 bar. You can assume nitrogen to behave as an ideal gas with a constant heat capacity CP =7R/2. a) If the expansion is carried out isothermally and reversibly, calculate Q, W, ΔH and ΔU. Draw the process on a pV diagram. Label the axis and the path clearly. b) If the expansion is...
1. A gas (1.00 mol) obeying the following equation of state (EOS) is compressed from P...
1. A gas (1.00 mol) obeying the following equation of state (EOS) is compressed from P 1.00 atm to P= 2.00 atm isothermally (300K) and reversibly: n RT P V nb (a) [5 points] Calculate the entropy change, AS. (b) [10 points] Calculate the amount of heat (q) and work (w) involved. What does the total energy change (AU) tell you about the internal energy of this system?
Please answer all three parts and show work. Thank you! 1. An ideal gas assumes molecules...
Please answer all three parts and show work. Thank you!
1. An ideal gas assumes molecules are point particles and do not interact with each other. In reality, molecules occupy space! To correct for this, the ideal gas equation of state is adjusted to take the volume occupied by the molecules into account for a real gas: PV = nRT or P = nRTV is modified to P = nRT/(V-nb) (IDEAL GAS) (REAL GAS Where "b" is related to the...
2. At 20 °C hydrogen gas follows the following equation of state: PV = RT (1...
2. At 20 °C hydrogen gas follows the following equation of state: PV = RT (1 + 5.14 x 10-3 P + 1.09 x 10-5 p2) in this equation V is the molar volume. Determine the fugacity and fugacity coefficient of hydrogen gas at 20 °C and 1 atm.
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.
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...
1. A gas (1.00 mol) obeying the following equation of state (EOS) is compressed from P = 1.00 atm to P = 2.00 atm isoth...
1. A gas (1.00 mol) obeying the following equation of state (EOS) is compressed from P = 1.00 atm to P = 2.00 atm isothermally (300K) and reversibly: nRT P = v nb (a) (5 points) Calculate the entropy change, AS. (b) (10 points) Calculate the amount of heat () and work (w) involved. What does the total energy change (AU) tell you about the internal energy of this system?
Two identical pistons begin and end in the same state. Initially, they contain 0.04-moles of gas,...
Two identical pistons begin and end in the same state. Initially, they contain 0.04-moles of gas, are at room temperature (20°C), and have a volume of 0.03- m3. The first is compressed isothermally until its volume is halved. The second goes through a two-step process: First the pressure is changed isochorically, then the volume is changed isobarically. A) draw a P-V diagram for each of these processes B) Find the final state (P, V, and T) of the two systems....
8. Initially, 1 mole of the real gas is contained in a thermally insulated piston-cylinder arrangement...
8. Initially, 1 mole of the real gas is contained in a thermally insulated piston-cylinder arrangement in an initial state (T1, P1, Vi ). 1 mole of the real gas that is expressed by the following equation of state under the investigation. Now, the gas is expanded so as to fill the final state of (T2, P2, V2 ). Suppose that any possible temperature dependence of Cy is negligibly small and the molar heat capacity is approximately equal to 2"...
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...
1. A gas (1.00 mol) obeying the following equation of state (EOS) is compressed from P 1.00 atm to P= 2.00 atm isothermally (300K) and reversibly: n RT P V nb (a) [5 points] Calculate the entropy change, AS. (b) [10 points] Calculate the amount of heat (q) and work (w) involved. What does the total energy change (AU) tell you about the internal energy of this system?
Please answer all three parts and show work. Thank you!
1. An ideal gas assumes molecules are point particles and do not interact with each other. In reality, molecules occupy space! To correct for this, the ideal gas equation of state is adjusted to take the volume occupied by the molecules into account for a real gas: PV = nRT or P = nRTV is modified to P = nRT/(V-nb) (IDEAL GAS) (REAL GAS Where "b" is related to the...
2. At 20 °C hydrogen gas follows the following equation of state: PV = RT (1 + 5.14 x 10-3 P + 1.09 x 10-5 p2) in this equation V is the molar volume. Determine the fugacity and fugacity coefficient of hydrogen gas at 20 °C and 1 atm.
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.
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...
1. A gas (1.00 mol) obeying the following equation of state (EOS) is compressed from P = 1.00 atm to P = 2.00 atm isothermally (300K) and reversibly: nRT P = v nb (a) (5 points) Calculate the entropy change, AS. (b) (10 points) Calculate the amount of heat () and work (w) involved. What does the total energy change (AU) tell you about the internal energy of this system?
8. Initially, 1 mole of the real gas is contained in a thermally insulated piston-cylinder arrangement in an initial state (T1, P1, Vi ). 1 mole of the real gas that is expressed by the following equation of state under the investigation. Now, the gas is expanded so as to fill the final state of (T2, P2, V2 ). Suppose that any possible temperature dependence of Cy is negligibly small and the molar heat capacity is approximately equal to 2"...
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