3) An ideal gas consisting of one mole of molecules of type A is in contact with the surroundings at T=300 K, and under a constant pressure of 1 atm. The gas undergoes a spontaneous isomeric chemical reaction, wherein some fraction x of molecules of type A change shape, become isomers of type B. This results in an equilibrium mixture of 1-x moles of A and x moles of B. The enthalpy of B is lower than the enthalpy of A by 3 kl/mole, such that AH =-xE; & = 3kJ/mole . The change in entropy is given by AS =-R(x In x + (1-x)In(1 – x)) - Use the computer to graph the change in Gibbs free energy as a function of x. Determine, by inspection of your graph, or otherwise, the concentration of A and the concentration of B when equilibrium is obtained. What is the maximum work that could be extracted from this process (aside from PV work)? P=latm Ceonskent) T: 300k

Elements Of Electromagnetics
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3) An ideal gas consisting of one mole of molecules of type A is in contact with the
surroundings at T=300 K, and under a constant pressure of 1 atm. The gas undergoes a
spontaneous isomeric chemical reaction, wherein some fraction x of molecules of type A
change shape, become isomers of type B. This results in an equilibrium mixture of 1-x moles
of A and x moles of B. The enthalpy of B is lower than the enthalpy of A by 3 kJ/mole, such
that AH = -xɛ; & = 3kJ/mole . The change in entropy is given by
AS ==R(xln x+ (1–x)ln(1– x)).
Use the computer to graph the change in Gibbs free energy as a function of x. Determine, by
inspection of your graph, or otherwise, the concentration of A and the concentration of B
when equilibrium is obtained. What is the maximum work that could be extracted from this
process (aside from PV work)?
P= latm (consternt)
T: 300k
Transcribed Image Text:3) An ideal gas consisting of one mole of molecules of type A is in contact with the surroundings at T=300 K, and under a constant pressure of 1 atm. The gas undergoes a spontaneous isomeric chemical reaction, wherein some fraction x of molecules of type A change shape, become isomers of type B. This results in an equilibrium mixture of 1-x moles of A and x moles of B. The enthalpy of B is lower than the enthalpy of A by 3 kJ/mole, such that AH = -xɛ; & = 3kJ/mole . The change in entropy is given by AS ==R(xln x+ (1–x)ln(1– x)). Use the computer to graph the change in Gibbs free energy as a function of x. Determine, by inspection of your graph, or otherwise, the concentration of A and the concentration of B when equilibrium is obtained. What is the maximum work that could be extracted from this process (aside from PV work)? P= latm (consternt) T: 300k
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