ThermodynamicsMedium
Question
Arrange the following isothermal processes in order of the magnitude of the work ( $p - V$ ) involved between states 1 and 2 .
A. Expansion in single stage $w_{A}$
B. Expansion in multi stages $w_{B}$
C. Compression in single stage $w_{C}$
D. Compression in multi stages $w_{D}$
Options
A.$\left| W_{B} \right| > \left| W_{A} \right| > \left| W_{C} \right| > \left| W_{D} \right|$
B.$\left| w_{C} \right| > \left| w_{D} \right| > \left| w_{A} \right| > \left| w_{B} \right|$
C.$\left| w_{C} \right| > \left| w_{D} \right| > \left| w_{B} \right| > \left| w_{A} \right|$
D.$\left| w_{B} \right| > \left| w_{A} \right| > \left| w_{D} \right| > \left| w_{C} \right|$
Solution
Sol. [Key Concept: For isothermal steps, expansion work is larger in multi-stage and compression work is larger in single-stage: ${|w}_{A}| < {|w}_{B}| < {|w}_{D}| < {|w}_{C}|$.]
$$\therefore\left| w_{A} \right| < \left| w_{B} \right| < \left| w_{D} \right| < \left| w_{C} \right| $$
Create a free account to view solution
View Solution FreeMore Thermodynamics Questions
Two moles of an ideal gas ($\gamma$ = 1.4) was allowed to expand reversibly and adiabatically from 1 L, 527°C to 32 L. T...Which of the following processes are expected to be spontaneous at low temperature and nonspontaneous at high temperatur...Which of the following is true for reversible adiabatic process involving an ideal gas?...A cylinder with thermally insulated walls contains an insulated portion which can slide freely. The partition divides th...Two rigid adiabatic vessels A (volume = 4 L) and B (volume = 6 L), which initially contains two gases at different tempe...