Consider a system consisting of a cylinder with a movable piston containing 106 gas molecules at 298 K at a volume of 1 L. Consider the following descriptions of this system: Initial system, as stated in the problem statement. Starting from the initial system, the volume of the container is changed to 2 L and the temperature to 395 K. Starting from the initial system, a combination reaction occurs at constant volume and temperature. Starting from the initial system, the gas reacts completely to produce 107 gas molecules at 395 K in a volume of 2 L. Starting from the initial system, the temperature is changed to 395 K at constant volume. Arrange the descriptions in order of increasing number of microstates in the resulting system. Rank from most to fewest microstates. To rank items as equivalent, overlap them

Arranging the descriptions in order of increasing number of microstates :

The microstates is the number of different arrangements of molecular positions and kinetic energy.

From the Initial state, option D shows that the gas reacts completely to produce 10⁷ gas molecules at 395 K in a volume of 2 L. which shows that the number of different arrangements of molecular positions is greatest here.

Starting from the initial system, the volume of the container is changed to 2L and the temperature to 395 K ( B ) due to the change in volume at 395 k

Hence we can conclude that Arranging the descriptions in order of increasing number of microstates : D > B > E > A > C

Learn more about microstates : link

D > B > E > A > C

Explanation:

Consider a system consisting of a cylinder with a movable piston containing 10^6 gas molecules at 298 K at a volume of 1 L.  

Consider the following descriptions of this system:  

A.)  Initial system

B.) Starting from the initial system, the volume of the container is changed to 2 L and the temperature to 395 K.

C.) Starting from the initial system, a combination reaction occurs at constant volume and temperature.

D.) Starting from the initial system, the gas reacts completely to produce 10^7 gas molecules at 395 K in a volume of 2 L.

E.) Starting from the initial system, the temperature is changed to 395 K at constant volume.

Rank from most to fewest microstates. To rank items as equivalent, overlap them

Microstates = number of different  arrangements of molecular position and kinetic energy possible.

Increasing the temperature, volume of molecules will increase the entropy ( = more microstates)

In option D we have the most microstates ( increasing of molecules, temperature and volume)

Followed by B (increasing by temeprature and volume)

Followed by E (increasing temperature)

Followed by A = the initial system

Followed by C = combination reaction

D > B > E > A > C

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