THE PRACTICE STUDIO

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PRACTICE · MEMBERSIntermediate · Single correct

PRACTICE / Cyclic processes

Use the loop direction and area

A gas follows A→B→C→D→A on straight p–V legs. The states (V, p) are A = (1 L, 2 kPa), B = (1 L, 5 kPa), C = (4 L, 5 kPa), D = (4 L, 2 kPa).

p (kPa)V (L)52014ABCD
Follow A → B → C → D → A. Use the direction of each volume change to assign its work sign.
Cycle states in traversal order
StateVolume (L)Pressure (kPa)
A12
B15
C45
D42

Find the net heat absorbed by the gas over the cycle.

Organize the givens & assumptions
  • High/low pressures: 5/2 kPa
  • High/low volumes: 4/1 L
  • Path A→B→C→D→A

Quasistatic paths, only pressure-volume work, and positive work done by the gas; the gas returns to its initial state.

  1. A−9 J-9\ \mathrm J
  2. B+15 J+15\ \mathrm J
  3. C0 J0\ \mathrm J
  4. D+9 J+9\ \mathrm J

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