Question

What is the advantage of plotting the (natural) logarithm of the number of ways of arranging the energy among the many atoms (natural logarithm of the number of microstates)?

Short answer

The advantage of plotting the (natural) logarithm of the number of ways of arranging the energy among the many atoms (natural logarithm of the number of microstates) is that the natural logarithms are used to express large numbers.

Step-by-step solution

Significance of natural logarithm

There are 3 reasons for finding a natural logarithm.

• A quantity “e”that happens frequently and unavoidably in nature.
• Natural logarithms consist of simple derivativesamong all the other logarithms.
• While calculating logarithms to the base, we first need to calculate “e” andmultiply it by a constant.

Step 2: Advantages of plotting the (natural) logarithm

The following are the advantages of plotting the (natural) logarithm of the number of ways of arranging the energy among the many atoms;

• The natural logarithm can be moderately skeweddata more generally distributed to constant variance.
• We have to use astraight line to allow the data to fall in a curved pattern to be generated.
• We canexpress large numbersby using natural logarithms.