Read Olander, Section 1.91. We have an insulated container of helium that is div

Question

Read Olander, Section 1.91. We have an insulated container of helium that is divided into two chambers (A & B) by a heat-conducting, weightless, frictionless piston, which moves freely so as to keep the pressure equalized between the two chambers. Assume there is 1 mole of helium in each chamber. a. What process occurs within the container? Is it spontaneous and why? b. Derive the equation for T_B as a function of T_A during the process. Sketch this function. At equilibrium, what is the common final temperature of the two chambers? c. Derive the equation for the entropy change of the contents of the container as a function of T_A. Sketch this function. At what temperature is the entropy change a maximum? What is the entropy increase of the system at equilibrium? d. What is the entropy change of the surroundings during this process? How does the entropy of the universe increase as a result of this process? If you have skipped part c, then express your answers in terms of Delta S_container.

Explanation / Answer

A)THE ABOVE PROCESS IS SPONTANEOUS BECAUSE IN THIS PROCESS OF HELIUM IN AN INSULATED CONTAINER THEN IT WILL BE AT CONSTANT PRESSURE AND TEMPERATURE AND IN ABSENCE OF ANY WORK THEN dG>0 HERE G IS THE GIBBS FUNCTION IT WILL BE SPONTANEOUS AND IRREVERSIBLE PROCESS.

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