A box contains N identical gas molecules equally divided between its two halves. Does the time spent in the central configuration increase or decrease with an increase in N?

A box contains N identical gas molecules equally divided between its two halves. For N = 200, what is the W of the central configuration?

A box contains N identical gas molecules equally divided between its two halves. For N = 100, what is the percentage of the time the system spends in the central configuration?

A box contains N identical gas molecules equally divided between its two halves. For N = 100, what is the total number of microstates?

A box contains N identical gas molecules equally divided between its two halves. For N = 100, what is W of the central configuration?

A box contains N identical gas molecules equally divided between its two halves. For N = 50, what is the percentage of the time the system spends in the central configuration?

In four experiments, $2.5 \mathrm{~mol}$ of hydrogen gas undergoes reversible isothermal expansions, starting from the same volume but at different temperatures. The corresponding $p$ - $V$ plots are shown in the given figure. Rank the situations according to the change in the entropy of the gas, greatest first.

A box contains N identical gas molecules equally divided between its two halves. For N = 50, what is the total number of microstates?

A box contains N identical gas molecules equally divided between its two halves. For N = 50, what is the multiplicity W of the central configuration?

Show that for N molecules in a box, the number of possible microstates is $2^N$ when microstates are defined by whether a given molecule is in the left half of the box or the right half.

An ice-cream maker is kept cold by a reverse Carnot engine that removes 28.0 kJ as heat per cycle, with coefficient of performance 6.90. Per cycle, what are (a) the energy delivered as heat to the room and (b) the work done?

A Statistical View of Entropy

Construct a table for eight molecules.

The engine is then made to work in reverse to function as a Carnot refrigerator between those same two reservoirs. During each cycle, how much work is required to remove 1200 J as heat from the low-temperature reservoir?

A Carnot engine works between temperatures $T_1$ and $T_2$. It drives a Carnot refrigerator that works between temperatures $T_3$ and $T_4$. Find the ratio $Q_3 / Q_1$ in terms of $T_1, T_2, T_3$, and $T_4$.