Consider the following rigid container where an amount of ideal gas initially at a temperature T and pressure P is equally divided by a moveable and thermally insulated partition of negligible size and mass. There are N moles of gas on each side of the partition and Cy= R. Assume the left side is heated until the temperature reaches some multiple m of the initial temperature; i.e., mT, while the right side remains at T . moveable & insulating Q P,T,N T→ mT Vf.LHS (a) Show that the final volume of the left hand side, VLHS is given by the following expression. (Hint: note that the pressures of the left and right sides, although changing throughout the process, are always equal to one another.) P,T,N W. T→T by LHS (b) Show that the work done by the left hand side, WB 2mNRT (1+m)P BY,LHS is given by: = NRT In ¹ (c) Show that the heat taken in by the left hand side, Qin,LHS, is given by: Qin, LHS = NRT [³(m-1) + In ¹+™] (d) Show that the heat taken in by the right hand side, Qin,RHS is given by: Qin,RHS =- W by,LHS= NRT In

Consider the following rigid container where an amount of ideal gas initially at a temperature T and pressure P is equally divided by a moveable and thermally insulated partition of negligible size and mass. There are N moles of gas on each side of the partition and Cy= R. Assume the left side is heated until the temperature reaches some multiple m of the initial temperature; i.e., mT, while the right side remains at T . moveable & insulating Q P,T,N T→ mT Vf.LHS (a) Show that the final volume of the left hand side, VLHS is given by the following expression. (Hint: note that the pressures of the left and right sides, although changing throughout the process, are always equal to one another.) P,T,N W. T→T by LHS (b) Show that the work done by the left hand side, WB 2mNRT (1+m)P BY,LHS is given by: = NRT In ¹ (c) Show that the heat taken in by the left hand side, Qin,LHS, is given by: Qin, LHS = NRT [³(m-1) + In ¹+™] (d) Show that the heat taken in by the right hand side, Qin,RHS is given by: Qin,RHS =- W by,LHS= NRT In

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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