Question

Consider an isolated system formed by 2 ideal gases 1 and 2, separated by an adiabatic wall as shown in the figure and at different temperatures $T_1$ and $T_2$. From the calculation of the microstates of the microcanonical ensemble, calculate the entropy variation of the total system that is generated by removing the wall that separates the subsystems if the particles of the gases are indistinguishable. b) Show that if before removing the wall the temperatures and pressures of gases 1 and 2 are equal then the change in total system entropy cancels out when the wall is removed. $N_1, T_1, V_1$ $N_2, T_2, V_2$

          Consider an isolated system formed by 2 ideal gases 1 and 2, separated by an adiabatic wall as shown in the
figure and at different temperatures $T_1$ and $T_2$. From the calculation of the microstates of the microcanonical
ensemble, calculate the entropy variation of the total system that is generated by removing the wall that separates
the subsystems if the particles of the gases are indistinguishable. b) Show that if before removing the wall the
temperatures and pressures of gases 1 and 2 are equal then the change in total system entropy cancels out when
the wall is removed.
$N_1, T_1, V_1$ $N_2, T_2, V_2$

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Consider an isolated system formed by 2 ideal gases 1 and 2, separated by an adiabatic wall as shown in the
figure and at different temperatures T1 and T2. From the calculation of the microstates of the microcanonical
ensemble, calculate the entropy variation of the total system that is generated by removing the wall that separates
the subsystems if the particles of the gases are indistinguishable. b) Show that if before removing the wall the
temperatures and pressures of gases 1 and 2 are equal then the change in total system entropy cancels out when
the wall is removed.
N1, T1, V1 N2, T2, V2

Added by Lance F.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Manik Pulyani

01/21/2022

Step 1

The total number of microstates of the system can be calculated using the formula for the microcanonical ensemble: Ω = Ω1 * Ω2 where Ω1 is the number of microstates of gas 1 and Ω2 is the number of microstates of gas 2. Since the particles of the gases are Show more…

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Consider an isolated system formed by 2 ideal gases l and 2, separated by an adiabatic wall as shown in the figure and at different temperatures T and T : From the calculation of the microstates of the microcanonical ensemble, calculate the entropy variation of the total system that is generated by removing the wall that separates the subsystems if the particles of the gases are indistinguishable. b) Show that if before removing the wall the temperatures and pressures of gases 1 and 2 are equal then the change in total system entropy cancels out when the wall is removed. N1T1V1N2T2V2

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