THERMODYNAMICS
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THERMODYNAMICS
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8. Consider 1 mole of a monatomic ideal gas...
Thermodynamics of Monatomic Ideal Gases Given the following: (KE)ava = SRT - (average kinetic energy per...
Thermodynamics of Monatomic Ideal Gases Given the following: (KE)ava = SRT - (average kinetic energy per mole for a monatomic ideal gas) AE = q +w w = -PAV (Note the sign!) g=nCAT (where C is the molar heat capacity.) AH = AE +A(PV) For the case of a monatomic ideal gas, select correct equivalent expressions for the quantities listed. Cy (i.e. Cat constant volume) CAE Cp (i.e. Cat constant pressure) AH A. nCPAT c. Cp-R D. RAT
A mole of monatomic ideal gas is expanded from 0.45 L to 0.75L at an external...
A mole of monatomic ideal gas is expanded from 0.45 L to 0.75L at an external pressure of 1.2 atm and initial temperature of 298K. Cv = 3/2R for a monatomic ideal gas, and Cp = 5/2R for a monatomic ideal gas. Calculate w, q, ΔH, ΔU.
PROBLEM 1: (50 pts) Consider the following isothermal monatomic ideal gas expansion processes: gradual (reversible) decrease...
PROBLEM 1: (50 pts) Consider the following isothermal monatomic ideal gas expansion processes: gradual (reversible) decrease in pressure from P, to Pa, such that the internal and external pressures remain in equilibrium at every step along the path. a) (20 pts) Obtain expressions for AU, W, AS, and Au for the above process (express your results as functions of n, T, P, and/or P2) b) (10 pts) Calculate the work exchanged (in J) in the process, assuming that n=1 mole,...
Consider the isothermal compression of 1 mole of a monatomic ideal gas, initially at a pressure...
Consider the isothermal compression of 1 mole of a monatomic ideal gas, initially at a pressure of 0.5 bar and volume of 4 liters to a final pressure of 2 bar. Calculate the following: a. The work done if the compression is reversible-answer in Joules b. The work done if the compression is irreversible-answer in Joules
One mole of an ideal monatomic gas is expanded from an initial state at 3 bar...
One mole of an ideal monatomic gas is expanded from an initial state at 3 bar and 450 K to a final state at 2 bar and 250 K. Choose two different paths for this expansion, specify them carefully, and calculate w and q for each path. Calculate ?U and ?S for each path.
2. First Law of Thermodynamics An engine takes 3.25 mole of an ideal monatomic He gas...
2. First Law of Thermodynamics An engine takes 3.25 mole of an ideal monatomic He gas through the cycle shown in the figure. Note that the temperature of the gas does not change during process c-a. p(Pa X 105) a b 2.0 - V(m3) 0 0.010 0.040 Hints: Cp = Cv+ R. Monatomic and diatomic gases have a different number of degrees of freedom at intermediate temperatures like those in this problem. 1[Pa] = 1 [N/m2] is the metric unit...
Problem 8: Consider the reversible Carnot's cycle of an ideal monatomic gas in the cold cylinder...
Problem 8: Consider the reversible Carnot's cycle of an ideal monatomic gas in the cold cylinder of 290 K corresponding to the isothermal compression step. Then the volume of the gas is further compressed by a factor of 7.5 in the adiabatic compression step. a) Find the temperature at the final step of the adiabatic compression. b) What is Thot for the isothermal expansion step? c) What is the maximum thermodynamic efficiency for this engine? d) How much would the...
W 2. One mole of an ideal gas initially at 37°C and 2 bar pressure is...
W 2. One mole of an ideal gas initially at 37°C and 2 bar pressure is heated and allowed to expand reversibly at constant pressure until the final temperature is 287°C. For this gas, Cum = 2.5R, constant over the temperature range. a. Derive related thermodynamic equations (q, w, U, and H) for an ideal gas, when the temperature is changed (5 points). b. Calculate w (work done on the ideal gas), 9 (the amount of heat absorbed by the...
1 mole, n=1, of an ideal monatomic gas undergoes the following process: It starts in the...
1 mole, n=1, of an ideal monatomic gas undergoes the
following process: It starts in the state(Po, Vo). It expands
isobarically to the state(Po, 5Vo). It is heated at constant
volume(isochorically) to (7Po, 5Vo)
A.) Plot this on a PV diagram
B.) What is the temperature difference between the initial and the
final state?
C.) What is the internal energy change?
D.) What is the total heat flow into the gas?
1 mole , n l, of an idcal monatomic...
One mole of a monatomic perfect gas, initially at 298 K and 1 atm, expands irreversibly...
One mole of a monatomic perfect gas, initially at 298 K and 1 atm, expands irreversibly and isothermally against 0.5 atm, doing 400 J of work in the process. Calculate or explain the values of DU, DH, DG, q, DSsys, DSsurr and DStot. Also, calculate the reversible work for this isothermal change of state.
Thermodynamics of Monatomic Ideal Gases Given the following: (KE)ava = SRT - (average kinetic energy per mole for a monatomic ideal gas) AE = q +w w = -PAV (Note the sign!) g=nCAT (where C is the molar heat capacity.) AH = AE +A(PV) For the case of a monatomic ideal gas, select correct equivalent expressions for the quantities listed. Cy (i.e. Cat constant volume) CAE Cp (i.e. Cat constant pressure) AH A. nCPAT c. Cp-R D. RAT
PROBLEM 1: (50 pts) Consider the following isothermal monatomic ideal gas expansion processes: gradual (reversible) decrease in pressure from P, to Pa, such that the internal and external pressures remain in equilibrium at every step along the path. a) (20 pts) Obtain expressions for AU, W, AS, and Au for the above process (express your results as functions of n, T, P, and/or P2) b) (10 pts) Calculate the work exchanged (in J) in the process, assuming that n=1 mole,...
Consider the isothermal compression of 1 mole of a monatomic ideal gas, initially at a pressure of 0.5 bar and volume of 4 liters to a final pressure of 2 bar. Calculate the following: a. The work done if the compression is reversible-answer in Joules b. The work done if the compression is irreversible-answer in Joules
2. First Law of Thermodynamics An engine takes 3.25 mole of an ideal monatomic He gas through the cycle shown in the figure. Note that the temperature of the gas does not change during process c-a. p(Pa X 105) a b 2.0 - V(m3) 0 0.010 0.040 Hints: Cp = Cv+ R. Monatomic and diatomic gases have a different number of degrees of freedom at intermediate temperatures like those in this problem. 1[Pa] = 1 [N/m2] is the metric unit...
Problem 8: Consider the reversible Carnot's cycle of an ideal monatomic gas in the cold cylinder of 290 K corresponding to the isothermal compression step. Then the volume of the gas is further compressed by a factor of 7.5 in the adiabatic compression step. a) Find the temperature at the final step of the adiabatic compression. b) What is Thot for the isothermal expansion step? c) What is the maximum thermodynamic efficiency for this engine? d) How much would the...
W 2. One mole of an ideal gas initially at 37°C and 2 bar pressure is heated and allowed to expand reversibly at constant pressure until the final temperature is 287°C. For this gas, Cum = 2.5R, constant over the temperature range. a. Derive related thermodynamic equations (q, w, U, and H) for an ideal gas, when the temperature is changed (5 points). b. Calculate w (work done on the ideal gas), 9 (the amount of heat absorbed by the...
1 mole, n=1, of an ideal monatomic gas undergoes the
following process: It starts in the state(Po, Vo). It expands
isobarically to the state(Po, 5Vo). It is heated at constant
volume(isochorically) to (7Po, 5Vo)
A.) Plot this on a PV diagram
B.) What is the temperature difference between the initial and the
final state?
C.) What is the internal energy change?
D.) What is the total heat flow into the gas?
1 mole , n l, of an idcal monatomic...
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