Now consider a more standard process: an isothermal expansion where the gas expands at ?=273K from...

Question

Question

Now consider a more standard process: an isothermal expansion where the gas expands at ?=273K from...

Now consider a more standard process: an isothermal expansion where the gas expands at ?=273K from ?_i=1m³ to ?_f=2m³. The initial pressure is ?_i=1atm.

E. In problem 1 of the week 2 written homework, the area under the PV diagram for this process is given by ??_B? ln(V₂/V₁). Use this to compute the work done on the gas during this process.

F. Compute the change in Gibbs free energy of the gas during this isothermal expansion. (Hint: How much heat must have flowed from the thermal bath to the gas during this process, to keep the temperature constant?)

Now let’s compare the two processes.

G. How will Δ?, Δ?, and Δ? for these two processes compare? (Hint: Compare their initial and final states.)

H. Now compute the (−?Δ?) term for the gas in the free expansion. Since the internal energy didn’t change, the only contribution to the change in energy is the change in volumetric multiplicity. (Hint: You don’t need to know ? to determine the answer. Why not?)

I. Compare the changes in Gibbs free energy that you calculated for each process. Do these values agree with your answer to part G?

science Advanced-Physics

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

Add a comment

Answer 2

Similar Homework Help Questions

Consider a reversible isothermal expansion of a gas at temperature τ from volume V to volume...

Consider a reversible isothermal expansion of a gas at temperature τ from volume V to volume V + ∆V . This is not a monatomic ideal gas, but the internal energy of the gas is given by U(τ, V ) = a*V* τ^ 4 , where a is a constant. The pressure is p = (1/3 U)/V . (a) What is the change of energy of the gas in the expansion? (b) How much work is done on the gas...
12. 1 mole of an ideal gas undergoes an isothermal expansion from V1 = 1.4L followed...

12. 1 mole of an ideal gas undergoes an isothermal expansion from V1 = 1.4L followed by isobaric compression, p = cst.if P1 = 4.4atm, p2 = 1.7atm → ?- m calculate the work done by gas during the expansion. Express work in J = N·m! • For isothermal processes, AT = 0 T = cst → w=faw=fr&v=/MRT AV 594 Show your work like: `x-int_0^5 v(t)dt rarr x-int_0^5(-4*t)dt=-50 m 13. 1 mole of an ideal gas undergoes an isothermal expansion...
105Pa, initial temperature T-300K, and an initial 1. An ideal gas with initial pressure 2 volume V - 1m3 expands isothermally to a final volume of 2m3. Then, the gas returns to its initial state, fir...

105Pa, initial temperature T-300K, and an initial 1. An ideal gas with initial pressure 2 volume V - 1m3 expands isothermally to a final volume of 2m3. Then, the gas returns to its initial state, first by constant pressure (isobaric) contraction, and then by a change at constant volume (isochoric) a) Draw a PV diagram of this process. What's the total change in thermal energy of the entire process? b) What's the work done by the environment on the gas?...

3. An ideal gas is initially at a certain pressure and volume. It expands until its volume is four times the initial volume. This is done through an isobaric, an isothermal, and an adiabatic proce...

3. An ideal gas is initially at a certain pressure and volume. It expands until its volume is four times the initial volume. This is done through an isobaric, an isothermal, and an adiabatic process, respectively. During which of the processes a) ...is the work done by the gas greatest? b)... is the smallest amount of work done by the gas? c) does the internal energy increase? d) ...does the internal energy decrease? e)... does the largest amount of heat...
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,...
One mole of an ideal gas undergoes a reversible adiabatic expansion from T_1, to T_2 while...

One mole of an ideal gas undergoes a reversible adiabatic expansion from T_1, to T_2 while tripling the volume of the gas. What is the relation between T_1 and T-2? T-2/3 < T_1<T_2 T_2/3 < T_1 < T-2 T_1= T_2 T_2<T_1 T_1 lessthanorequalto T_2/3 One mole of Ar gas undergoes the reversible transformation shown. Assuming Ar behaves ideally, which statement is true for step 2? Delta U= C_p DeltaT DeltaH < Delta U Delat S= c_p ln(T_c/T_B) W = etaRt...

What are the major areas of change from the old design to the new design? What...

What are the major areas of change from the old design to the new design? What do you think the major concerns will be of employees and managers in the new design? Use the star model to identify the transitions at each point of the star. Case Study 4: Reorganizing the Finance Department: Managing Change and Transitions Read the finance department case and consider the challenges you might anticipate during this reorganization. Develop a transition plan that addresses the following...

Now consider a more standard process: an isothermal expansion where the gas expands at ?=273K from...

Homework Answers

Add Answer to:
Now consider a more standard process: an isothermal expansion where the gas expands at ?=273K from...

Post as a guest

Earn Coins

Consider a reversible isothermal expansion of a gas at temperature τ from volume V to volume...

12. 1 mole of an ideal gas undergoes an isothermal expansion from V1 = 1.4L followed...

105Pa, initial temperature T-300K, and an initial 1. An ideal gas with initial pressure 2 volume V - 1m3 expands isothermally to a final volume of 2m3. Then, the gas returns to its initial state, fir...

3. An ideal gas is initially at a certain pressure and volume. It expands until its volume is four times the initial volume. This is done through an isobaric, an isothermal, and an adiabatic proce...

PROBLEM 1: (50 pts) Consider the following isothermal monatomic ideal gas expansion processes: gradual (reversible) decrease...

One mole of an ideal gas undergoes a reversible adiabatic expansion from T_1, to T_2 while...

What are the major areas of change from the old design to the new design? What...

Now consider a more standard process: an isothermal expansion where the gas expands at ?=273K from...

Homework Answers

Add Answer to: Now consider a more standard process: an isothermal expansion where the gas expands at ?=273K from...

Post as a guest

Earn Coins

Consider a reversible isothermal expansion of a gas at temperature τ from volume V to volume...

12. 1 mole of an ideal gas undergoes an isothermal expansion from V1 = 1.4L followed...

105Pa, initial temperature T-300K, and an initial 1. An ideal gas with initial pressure 2 volume V - 1m3 expands isothermally to a final volume of 2m3. Then, the gas returns to its initial state, fir...

3. An ideal gas is initially at a certain pressure and volume. It expands until its volume is four times the initial volume. This is done through an isobaric, an isothermal, and an adiabatic proce...

PROBLEM 1: (50 pts) Consider the following isothermal monatomic ideal gas expansion processes: gradual (reversible) decrease...

One mole of an ideal gas undergoes a reversible adiabatic expansion from T_1, to T_2 while...

What are the major areas of change from the old design to the new design? What...

Add Answer to:
Now consider a more standard process: an isothermal expansion where the gas expands at ?=273K from...