Consider a system consisting of a cylinder with a movable piston containing 106 gas molecules at...

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:

A. Initial system as described above.

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 10⁷ gas molecules at 395 K in a volume of 2 L.

Arrange the descriptions in order of increasing number of microstates in the resulting system. Explain the rationale for your ranking.

Is this ranking the same order as if you ranked the systems according to increasing entropy?

Expert Solution

A. Initial system as described above

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 10⁷ gas molecules at 395 K in a volume of 2 L.

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

In a system its energy is constantly being redistributed among its particles. In liquids and gases, the particles themselves are constantly redistributing in location as well as changing in the quanta (the individual amount of energy that each molecule has) due to their incessantly colliding, bouncing off each other with (usually) a different amount of energy for each molecule after the collision.. Each specific way, each arrangement of the energy of each molecule in the whole system at one instant is called a microstate."

queen_honey_blossom answered 3 days ago

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