Using the combined gas law above, identify the variables that would be in the numerator (A) and denominator (B) if you were to rearrange the gas law to solve for final temperature.

T subscript 2 equals StartFraction A over B EndFraction.

Denominator (B):

P1V1T2

P2V2T1

T1V2

P1V1

The denominator B = P1V1

Explanation:

We'll begin by writing the combine gas equation. This is shown below:

P1V1/T1 = P2V2/T2

Where:

P1 is the initial pressure.

V1 is the initial volume.

T1 is the initial temperature.

P2 is the final pressure.

V2 is the final volume.

T2 is the final temperature.

Now let us make T2 the subject of the formula to obtain our desired result. This is illustrated below:

P1V1/T1 = P2V2/T2

Cross multiply to express in linear form

P1V1T2 = P2V2T1

Divide both side by P1V1

T2 = P2V2T1/P1V1

From the above illustration,

The numerator A = P2V2T1

The denominator B = P1V1