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Describe the equilibrium condition in terms of the entropy changes of a system and its surroundings. What does this description mean about the entropy change of the universe?

Short Answer

Expert verified

The universe's net entropy change is zero once it reaches equilibrium.

Step by step solution

01

Entropy.

Entropy is the thermodynamic function that represents the degree of disorderness of a system. For a spontaneous process the sign pf entropy is positive.

02

Explanation.

The spontaneous process may be characterized as a rise in the entropy of the surroundings inside a reduction in the entropy of the system, according to the second law of thermodynamics. Δ³§univ>0as the chemical reaction or process approaches equilibrium.

When you approach equilibrium, the forward reaction rate equals the backward reaction rate, and the forward reaction's entropy change equals the backward reaction's entropy change.

The net change in entropy iszeroin an equilibrium state, henceΔ³§univ>0because the system's entropy change is balanced by the entropy change in the environment.

Δ³§univ=Δ³§sys+Δ³§surr=0Δ³§sys=-Δ³§surr

Therefore, universe's net entropy change is zero when it reaches equilibrium.

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Most popular questions from this chapter

When heated, the DNA double helix separates into two random-coil single strands. When cooled, the random coils reform the double helix: double helix 2 random coils.

(a) What is the sign of∆sfor the forward process? Why?

(b) Energy must be added to overcome H bonds and dispersion forces between the strands. What is the sign of∆Gfor the forward process whenTΔ³§is smaller thanrole="math" localid="1663303287852" ∆H?

(c) Write an expression that shows T in terms of∆Hand∆swhen the reaction is at equilibrium. (This temperature is called the melting temperature of the nucleic acid.)

Given thatΔ³Òsys=-TΔ³§univ, explain how the sign ofΔ³Òsyscorrelates with reaction spontaneity.

Consider the formation of ammonia: N2(g)+3H2(g)2NH3(g)

(a) Assuming that Δ±á°and Δ³§Â°are constant with temperature, find the temperature at which Kp=1.00 .

(b) Find Kpat 400°C, a typical temperature for NH3production.

(c) Given the lower Kpat the higher temperature, why are these conditions used industrially?

Propylene (propene;CH3CH = CH2 ) is used to produce polypropylene and many other chemicals. Although most is obtained from the cracking of petroleum, about2% is produced by catalytic dehydrogenation of propane ( CH3CH2CH3):

CH3CH2CH3→Pt/Al2O3CH3CH = CH2+H2

Because this reaction is endothermic, heaters are placed between the reactor vessels to maintain the required temperature.

(a) If the molar entropyS°, , of propylene is267.1 J/molK , find its entropy of formation, Sfo.

(b) Find ∆Gf°of propylene (∆Hf°for propylene= 20.4 kJ/mol).

(c) Calculate ∆Hrxn° and∆Grxn° for the dehydrogenation.

(d) What is the theoretical yield of propylene at 580°C if the initial pressure of propane is 1.00atm?

(e) Would the yield change if the reactor walls were permeable toH2 ? Explain.

(f) At what temperature is the dehydrogenation spontaneous, with all substances in the standard state?

Which of the following processes are spontaneous?

(a) Methane burns in air.

(b) A teaspoonful of sugar dissolves in a cup of hot coffee.

(c) A soft-boiled egg becomes raw.

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