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Consider the system at 25C. a. Assuming that GA 8996 J/mol

Chapter 17, Problem 101

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QUESTION:

Consider the system

\(\mathrm{A}(\mathrm{g}) \longrightarrow \mathrm{B}(\mathrm{g})\)

at \(25^{\circ} \mathrm{C}\)

a. Assuming that \(G_{\mathrm{A}}^{\circ}=8996\mathrm{\ J}/\mathrm{mol}\) and \(G_{\mathrm{B}}^{\circ}=11,718\mathrm{\ J}/\mathrm{mol}\), calculate the value of the equilibrium constant for this reaction.

b. Calculate the equilibrium pressures that result if 1.00 mol A(g) at 1.00 atm and 1.00 mol B(g) at 1.00 atm are mixed at \(25^{\circ} \mathrm{C}\).

c. Show by calculations that \(\Delta G=0\) at equilibrium.

Questions & Answers

QUESTION:

Consider the system

\(\mathrm{A}(\mathrm{g}) \longrightarrow \mathrm{B}(\mathrm{g})\)

at \(25^{\circ} \mathrm{C}\)

a. Assuming that \(G_{\mathrm{A}}^{\circ}=8996\mathrm{\ J}/\mathrm{mol}\) and \(G_{\mathrm{B}}^{\circ}=11,718\mathrm{\ J}/\mathrm{mol}\), calculate the value of the equilibrium constant for this reaction.

b. Calculate the equilibrium pressures that result if 1.00 mol A(g) at 1.00 atm and 1.00 mol B(g) at 1.00 atm are mixed at \(25^{\circ} \mathrm{C}\).

c. Show by calculations that \(\Delta G=0\) at equilibrium.

ANSWER:

Step 1 of 4

The equilibrium constant and free energy of the reaction is interrelated. The relation is as shown below:

Where  T is absolute temperature, K is the equilibrium constant.

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