Question

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.

Answer 1

We know that,  A microstate is a specific way in which we can arrange the energy of the system. Many microstates are indistinguishable from each other. The more indistinguishable microstates, the higher the entropy.

Thus, increasing temperature and volume will create more microstates

So, the descriptions in order of increasing number of microstates in the resulting system is:

3 < 1 < 5 < 2 < 4