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PART 3: THEORETICAL PROBLEMS (8) (10 Points) Show that for an ideal gas under change in...
PART 3: THEORETICAL PROBLEMS (40 Points Total): YoUR FINAL ANSWER SHOULD BE AN EXPRESSION, WITH ALL...
PART 3: THEORETICAL PROBLEMS (40 Points Total): YoUR FINAL ANSWER SHOULD BE AN EXPRESSION, WITH ALL NECESSARY STEPS SHOWN. (8) (10 Points) Show that: ( U)-T,isothermal compressibility. where a is the thermal expansion coeficient and κ is the isothermal compressibility.
Problem 3: PV Work for a van der Waals Gas (1 points) The work for a...
Problem 3: PV Work for a van der Waals Gas (1 points) The work for a reversible, isothermal expansion of an ideal gas was found by starting with the expression for reversible work --CP V2 P dV V1 and substituting the ideal gas equation of state for P(V,T), to obtain V2 w = nRT ln VI Find an expression for the work of a reversible, isothermal expansion of a van der Waals gas by starting with the same expression for...
. (40 points) Consider an insulated container of volume V2. N idea gas molecules are initially...
. (40 points) Consider an insulated container of volume V2. N idea gas molecules are initially confined within volume V, by a piston and the remaining volume V2 - Vi is in vacuum. Let T,, P1, E1, S, Al, Hi, G, be the temperature, pressure, energy, entropy, Helmholtz free energy, enthalpy, and Gibbs free energy of the ideal gas at this state, respectively V1 V2-V Using Sackur-Tetrode equation for the entropy of ideal gas where kB R/NA is Boltzmann's constant...
physical chemistry 3. Derive formulas for AE, Aw, and Aq when a Van der Waal's gas...
physical chemistry
3. Derive formulas for AE, Aw, and Aq when a Van der Waal's gas undergoes: a) reversible isothermal expansion b) adiabatic expansion c) repeat steps a and b for an ideal gas d) Use the Maxwell relation derived from the Helmholtz free energy F =F(T,V) = -SdT PdV To prove that e) Determine for a Van der Waal's gas and an ideal gas. T()-P f) Explain the answer to part e in terms of the assumptions that define...
Part A:See diagram 4. 51.4 moles of a diatomic ideal gas undergo three steps: A to...
Part A:See diagram 4. 51.4 moles of a diatomic ideal gas undergo three steps: A to B is an isobaric (constant pressure P1 = 5.64x106 Pascal) expansion from volume V1 = 0.0854 m3 to V2 = 0.979 m3. B to C is isochoric (constant volume) C to A is isothermal (constant T). Find PC, the pressure at point C, in Pascals. Express in scientific notation. Part B:See diagram 4. 21.6 moles of a diatomic ideal gas undergo three steps: A...
Initially, at a temperature T, and a molar volume vi, a van der Waals gas undergoes...
Initially, at a temperature T, and a molar volume vi, a van der Waals gas undergoes a change of state to the final temperature T2 and the molar volume V2. The van der Waals gas is characterized by the two parameters a and b (cf. Eq. (3.3)). a. Show that the change in molar entropy is As = c, In 72 + R In º2 = (3.62) 01 - 6 b. A volume of 1 dm is partitioned by a...
2 moles of compressed air (diatomic gas) in a cylinder under the initial condition T1=573K p1=500kPa....
2 moles of compressed air (diatomic gas) in a cylinder under the initial condition T1=573K p1=500kPa. Found v1=0.019m^3 but can not remember then how to find V2. I think that it has something to do with T1=T2 condition then P2 can be found.... but stuck on how to proceed so with FULL written explanations with working would be much appreciated! All question info on practice exam below - note ISOTHERMAL EXPANSION. for part ii which after an explanation first. Two...
Extra Credit (20 pts) 10 moles of an ideal gas expands from a volume of 0.2...
Extra Credit (20 pts) 10 moles of an ideal gas expands from a volume of 0.2 m3 to a volume of 0.8 m3 by an adiabatic free expansion (no work). a. Does the internal energy of the gas change? Why or why not? b. Does the temperature of the gas change? Why or why not? c. Does the entropy of the gas change? Why or why not d. Would the entropy change be any different if the gas expanded from...
Part A - Process 1 → 2 20.0 kJkJ work has done to compress the ideal...
Part A - Process 1 → 2
20.0 kJkJ work has done to compress the ideal gas from
V1 = 0.75 m3m3 at P1 = 0.950
atmatm to make V2. Calculate the final volume
V2.
Express your answer using three significant figures.
Part B
What is the change in the internal energy of the gas during this
whole process from 1→3?
Express your answer using three significant figures.
Part C
What is the total heat flow from the gas during this...
PART A Question 1 4 Figure Q1 Consider the reversible thermal cycle undergone by an ideal gas shown in Fig. Q1. The cycle is formed by two isobars and two isotherms. (a) Calculate the total work...
PART A Question 1 4 Figure Q1 Consider the reversible thermal cycle undergone by an ideal gas shown in Fig. Q1. The cycle is formed by two isobars and two isotherms. (a) Calculate the total work involved in the cycle. Explain whether the gas does work on its surroundings [5 marks] b) Calculate the net heat exchange involved in path 1-3. Express your result in terms of the pressure and volume of the gas. [5 marks] (c) Make a plot...
PART 3: THEORETICAL PROBLEMS (40 Points Total): YoUR FINAL ANSWER SHOULD BE AN EXPRESSION, WITH ALL NECESSARY STEPS SHOWN. (8) (10 Points) Show that: ( U)-T,isothermal compressibility. where a is the thermal expansion coeficient and κ is the isothermal compressibility.
Problem 3: PV Work for a van der Waals Gas (1 points) The work for a reversible, isothermal expansion of an ideal gas was found by starting with the expression for reversible work --CP V2 P dV V1 and substituting the ideal gas equation of state for P(V,T), to obtain V2 w = nRT ln VI Find an expression for the work of a reversible, isothermal expansion of a van der Waals gas by starting with the same expression for...
. (40 points) Consider an insulated container of volume V2. N idea gas molecules are initially confined within volume V, by a piston and the remaining volume V2 - Vi is in vacuum. Let T,, P1, E1, S, Al, Hi, G, be the temperature, pressure, energy, entropy, Helmholtz free energy, enthalpy, and Gibbs free energy of the ideal gas at this state, respectively V1 V2-V Using Sackur-Tetrode equation for the entropy of ideal gas where kB R/NA is Boltzmann's constant...
physical chemistry
3. Derive formulas for AE, Aw, and Aq when a Van der Waal's gas undergoes: a) reversible isothermal expansion b) adiabatic expansion c) repeat steps a and b for an ideal gas d) Use the Maxwell relation derived from the Helmholtz free energy F =F(T,V) = -SdT PdV To prove that e) Determine for a Van der Waal's gas and an ideal gas. T()-P f) Explain the answer to part e in terms of the assumptions that define...
Initially, at a temperature T, and a molar volume vi, a van der Waals gas undergoes a change of state to the final temperature T2 and the molar volume V2. The van der Waals gas is characterized by the two parameters a and b (cf. Eq. (3.3)). a. Show that the change in molar entropy is As = c, In 72 + R In º2 = (3.62) 01 - 6 b. A volume of 1 dm is partitioned by a...
Extra Credit (20 pts) 10 moles of an ideal gas expands from a volume of 0.2 m3 to a volume of 0.8 m3 by an adiabatic free expansion (no work). a. Does the internal energy of the gas change? Why or why not? b. Does the temperature of the gas change? Why or why not? c. Does the entropy of the gas change? Why or why not d. Would the entropy change be any different if the gas expanded from...
Part A - Process 1 → 2
20.0 kJkJ work has done to compress the ideal gas from
V1 = 0.75 m3m3 at P1 = 0.950
atmatm to make V2. Calculate the final volume
V2.
Express your answer using three significant figures.
Part B
What is the change in the internal energy of the gas during this
whole process from 1→3?
Express your answer using three significant figures.
Part C
What is the total heat flow from the gas during this...
PART A Question 1 4 Figure Q1 Consider the reversible thermal cycle undergone by an ideal gas shown in Fig. Q1. The cycle is formed by two isobars and two isotherms. (a) Calculate the total work involved in the cycle. Explain whether the gas does work on its surroundings [5 marks] b) Calculate the net heat exchange involved in path 1-3. Express your result in terms of the pressure and volume of the gas. [5 marks] (c) Make a plot...
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