Question

Rearranging Formulas Quick Check
2 of 52 of 5 Items
Question
Which of the following is an example of using the Division Property of Equality to rearrange the equation PV=nRT
?(1 point)
Responses

T=PVnR
upper T equals upper P upper V n upper R

n=PVRT
n equals Start Fraction upper P upper V over upper R upper T End Fraction

R=nTPV
upper R equals Start Fraction n upper T over upper P upper V End Fraction

R=PV−nT
upper R equals upper P upper V minus n upper T

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.

In the equation \( PV = nRT \), if you want to isolate \( R \), you would divide both sides by \( nT \):

\[
R = \frac{PV}{nT}
\]

Looking at the response choices provided:

1. \( T = \frac{PV}{nR} \)
2. \( n = \frac{PV}{RT} \)
3. \( R = \frac{nT}{PV} \)
4. \( R = PV - nT \)

The correct example that uses the Division Property of Equality to rearrange the equation is:

**n = PVRT**

This expresses \( n \) in terms of \( P \), \( V \), \( R \), and \( T \).

So the answer is:

**n = PVRT** (option 2)