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Supposed that we have a 20 -L (0.02m3) tank with two compartments separated by a movable, wellinsulated wall. However, the wall is initially restrained by
Supposed that we have a 20 -L (0.02m3) tank with two compartments separated by a movable, wellinsulated wall. However, the wall is initially restrained by a pin, such that the two compartments are initially equal in volume. The shell of the tank itself is also well-insulated. The left compartment is filled with an ideal gas with cp=30J/(molK) at 10 bar and 300K. The right compartment is filled with the same type of ideal gas with but at 1 bar and 300K. The restraining pin is removed, and the tank is allowed to come to mechanical equilibrium. (a) Draw and annotate a schematic of the problem. Comment on what you expect to happen when the pin is removed. With the expectation that you will be analyzing the thermodynamic properties in both compartments, specify some possible universe/system/surroundings decompositions. (b) Determine the thermodynamic state in each compartment. Hint: This problem is tricky for reasons that are not necessarily related to concepts in thermodynamics. As always, start with a first-law statement and identify any variables that are easily known and those that are not yet known. Consider re-arranging your equation such that all of your unknowns are on one side of the equation. Move on to other constraints imposed by the process or the tank as a whole
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