tHERMAL bYU 38

Solution 38

Solution 38

The graph plots the Net Heat $Q$ given to the gas versus Temperature $T$. We analyze each segment to determine the change in Volume.

  • $A \to B$ (Vertical Up): Temperature is constant, $Q$ increases. This is Isothermal Expansion. ($V \uparrow$)
  • $B \to C$ (Horizontal Right): $Q$ is constant ($\Delta Q = 0$), Temperature increases. This is Adiabatic Compression. ($V \downarrow$)
  • $C \to D$ (Vertical Up): Temperature is constant, $Q$ increases. This is Isothermal Expansion. ($V \uparrow$)
  • $D \to E$ (Horizontal Left): $Q$ is constant ($\Delta Q = 0$), Temperature decreases. This is Adiabatic Expansion. ($V \uparrow$)
  • $E \to F$ (Vertical Down): Temperature is constant, $Q$ decreases. This is Isothermal Compression. ($V \downarrow$)
  • $F \to A$ (Horizontal Left): $Q$ is constant ($\Delta Q = 0$), Temperature decreases (returning to $T_A$). This is Adiabatic Expansion. ($V \uparrow$)

Volume Increases in: $A \to B$, $C \to D$, $D \to E$, and $F \to A$.

Volume Decreases in: $B \to C$ and $E \to F$.