which of the following is an example of using the division property of equality to rearrange the equation PV=nRT?

Question

A) T=PVnR
B) R=PV-nT
C) R= nT/PV
D) n=PV/RT

Answer 1

The division property of equality states that if you divide both sides of an equation by the same non-zero number, the two sides remain equal.

Starting from the equation \( PV = nRT \), if we want to isolate \( R \), we can rearrange it as follows:

1. Divide both sides by \( nT \): \[ R = \frac{PV}{nT} \]

Thus, the correct answer is:

C) R = nT/PV

This option shows the correct application of the division property of equality to solve for \( R \).