![d) One mole of an ideal gas with Cu.m 3/2R is heated reversibly along a path such that V = Aexp[bT], where A = 1.2257 liters and b-0010 K-1. How does the pressure vary with T for this system? Obtain the molar heat capacity of the gas as a function of T for heating along the given path. Finally, if 2 moles of the gas are heated reversibly along this path from 300 to 400 K; compute AU, w, and q.](http://img.homeworklib.com/questions/ce88ce50-d07a-11ea-967e-71f9331ee8c6.png?x-oss-process=image/resize,w_560)
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Q3d
d) One mole of an ideal gas with Cu.m 3/2R is heated reversibly along a...
13. One mole of an ideal gas is heated reversibly along a path such that T=...
13. One mole of an ideal gas is heated reversibly along a path such that T= AV?, where A is a constant. If the initial temperature is T(K), what must the final temperature T (K)) be if the entropy change is equal to BOK-) (B is a constant value and cm = R (Jmol-'K™)
1.5 moles of an ideal gas, for which the molar heat capacity Cv.m = 3/2R, initially...
1.5 moles of an ideal gas, for which the molar heat capacity Cv.m = 3/2R, initially at 25.0°C and 1 atm undergoes a two-stage transformation. Calculate q. w. Au in kJ for the complete process (a+b). a. The gas is expanded isothermally and reversibly until the volume doubles b. Beginning at the end of the first stage, the temperature is raised to 100.0°C at constant volume. 9 -2.57 ki A. W = 2.57 kJ AU = 5.14 k) = +2.57...
48 g of methane (CH4) gas is heated reversibly from 200 K to 1800 K at...
48 g of methane (CH4) gas is heated reversibly from 200 K to 1800 K at constant pressure conditions. The constant-pressure molar heat capacity of CH4 from 200 K to 1800 K is given by: Cp, molar (T) a + bT + cT-2 where a, b, and c, are constants For CH4, these constants these constants have the values a = JK2 mol, and c =1.825x104 JKmol -1. 31.50 JKmol -1, b 3.824 x10 Calculate the value of AH (in...
4. One mole of monoatomic ideal gas, initially at 27 oC and 1 bar, is heated...
4. One mole of monoatomic ideal gas, initially at 27 oC and 1 bar, is heated and allowed to expand reversibly against constant pressure of 1 bar until the final temperature is 127 °C. 4.1 What are the initial (Vi) and final (V2) volumes of the gas? 4.2 Calculate the work (w) that the gas does during this expansion. 4.3 Calculate the internal energy change (AU) of this expansion process 4.4 Calculate the enthalpy change (AH) of this expansion process.
1. a) One mole of an ideal gas at 298.15 K is expanded reversibly and isothermally...
1. a) One mole of an ideal gas at 298.15 K is expanded reversibly and isothermally from 1.0 L to 15 L. Determine the amount of work in Joules. b) Determine the work done in Joules when one mole of ideal gas is expanded irreversibly from 1.0 L to 15.0 L against a constant external pressure of 1.0 atm.
2. One mole of an ideal gas is compressed isothermally and reversibly at 607.0 K from...
2. One mole of an ideal gas is compressed isothermally and reversibly at 607.0 K from 5.60 atm to 8.90 atm. What are the values of AH and AE for this process? (20 pts.)
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...
One mole of an Ideal Gas, for which Cv,m = 3/2R, initially at 20.0 C and...
One mole of an Ideal Gas, for which Cv,m = 3/2R, initially at 20.0 C and 1.00 x106 Pa undergoes a two-stage transformation: Stage 1: The gas is expanded isothermally and reversibly until the volume doubles. Stage 2: Beginning at the end of the first stage, the temperature is raised to 80.0 C at constant volume. For each stage, calculate the final pressure, heat(q), work(w), change in internal energy (ΔU), and enthalpy (ΔH). Calculate the total q, w, ΔU, and...
Obtain heat q and work w given to an ideal gas (1 moD system and the...
Obtain heat q and work w given to an ideal gas (1 moD system and the ehange of the internal energy Au in the following processes. Heat capacity at constant volume, G, of the gas does not 1. AU in t A reversible isothermal expansion from (P. V.,T) to (P, V, r). reversibly at constant volume from (Pvv2,T) to (p,y, ) depend on temperature. a) b) A reversible adiabatic expansion from (P, V.T) to (P, V, T2) and then heating...
One mole of a gas at a temperature of 25 degree C and a pressure of...
One mole of a gas at a temperature of 25 degree C and a pressure of 1 bar (the initial state)is to be heated and compressed in a frictionless piston and cylinder to 300 degree C and 10 bar (the final state). a) Sketch the PV diagram and (b) compute the internal energy change, the entropy change and the heat and work required along each of the following paths: Path A: Isothermal compression to 10 bar, and then isobaric heating...
13. One mole of an ideal gas is heated reversibly along a path such that T= AV?, where A is a constant. If the initial temperature is T(K), what must the final temperature T (K)) be if the entropy change is equal to BOK-) (B is a constant value and cm = R (Jmol-'K™)
1.5 moles of an ideal gas, for which the molar heat capacity Cv.m = 3/2R, initially at 25.0°C and 1 atm undergoes a two-stage transformation. Calculate q. w. Au in kJ for the complete process (a+b). a. The gas is expanded isothermally and reversibly until the volume doubles b. Beginning at the end of the first stage, the temperature is raised to 100.0°C at constant volume. 9 -2.57 ki A. W = 2.57 kJ AU = 5.14 k) = +2.57...
48 g of methane (CH4) gas is heated reversibly from 200 K to 1800 K at constant pressure conditions. The constant-pressure molar heat capacity of CH4 from 200 K to 1800 K is given by: Cp, molar (T) a + bT + cT-2 where a, b, and c, are constants For CH4, these constants these constants have the values a = JK2 mol, and c =1.825x104 JKmol -1. 31.50 JKmol -1, b 3.824 x10 Calculate the value of AH (in...
4. One mole of monoatomic ideal gas, initially at 27 oC and 1 bar, is heated and allowed to expand reversibly against constant pressure of 1 bar until the final temperature is 127 °C. 4.1 What are the initial (Vi) and final (V2) volumes of the gas? 4.2 Calculate the work (w) that the gas does during this expansion. 4.3 Calculate the internal energy change (AU) of this expansion process 4.4 Calculate the enthalpy change (AH) of this expansion process.
2. One mole of an ideal gas is compressed isothermally and reversibly at 607.0 K from 5.60 atm to 8.90 atm. What are the values of AH and AE for this process? (20 pts.)
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...
Obtain heat q and work w given to an ideal gas (1 moD system and the ehange of the internal energy Au in the following processes. Heat capacity at constant volume, G, of the gas does not 1. AU in t A reversible isothermal expansion from (P. V.,T) to (P, V, r). reversibly at constant volume from (Pvv2,T) to (p,y, ) depend on temperature. a) b) A reversible adiabatic expansion from (P, V.T) to (P, V, T2) and then heating...
One mole of a gas at a temperature of 25 degree C and a pressure of 1 bar (the initial state)is to be heated and compressed in a frictionless piston and cylinder to 300 degree C and 10 bar (the final state). a) Sketch the PV diagram and (b) compute the internal energy change, the entropy change and the heat and work required along each of the following paths: Path A: Isothermal compression to 10 bar, and then isobaric heating...
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