10 November, 00:59

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

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1. 10 November, 02:06
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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