A fixed amount of an ideal monatomic gas starts out at P_(0),V_(0),T_(0). It undergoes three processes:
1->2 : The gas is first heated at constant volume to a temperature 4T_(0).
2->3 : The gas then expands at constant pressure to a volume 4V_(0).
3->1 : The gas is finally cooled in a special process so that it moves in a straight line on a PV diagram to
the original point P_(0),V_(0).
Assume that C_(v)=(3)/(2)R for this problem, and write answers in terms of
P_(0) and V_(0) whenever possible. The tables at right are guides, please make
your own on your answer sheets.
(a) Sketch a PV diagram for this process.
(b) Make a PVT table for the three endpoints 1, 2, and 3.
(c) Make a QWU table for the three processes, as well as for the net
process.
(d) Compute the e efficiency of this cycle.
(e) What is the percentage of the efficiency relative to the maximum
possible efficiency between the two temperature extremes of this
cycle?
5. A fixed amount of an ideal monatomic gas starts out at Po,Vo,To. It undergoes three processes
1 - 2: The gas is first heated at constant volume to a temperature 4To
2 - 3: The gas then expands at constant pressure to a volume 4Vo.
3 -> 1: The gas is finally cooled in a special process so that it moves in a straight line on a PV diagram tc the original point Po, Vo.
Assume that C, = R for this problem, and write answers in terms of Po and Vo whenever possible. The tables at right are guides, please make your own on your answer sheets.
P V 1. 2 3
(a) Sketch a PV diagram for this process. (b) Make a PVT table for the three endpoints 1, 2, and 3. (c) Make a QWU table for the three processes, as well as for the net process.
AT Q W 141 d) Compute the e efficiency of this cycle 293 (e) What is the percentage of the efficiency relative to the maximum 142 possible efficiency between the two temperature extremes of this cycle? 141