Question

Which of the following is an example of using the Division Property of Equality to rearrange the equation PV=nRT?(1 point)
Responses

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

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

T=PVnR

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 \( PV = nRT \), to isolate \( R \) using the Division Property of Equality, you divide both sides by \( nT \). This gives you:

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

So, the response that correctly demonstrates the use of the Division Property of Equality to rearrange the equation \( PV = nRT \) is:

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

However, this exact choice is not in the list provided. The closest and correct rearrangement following this division would be:

\[
n = \frac{PV}{RT}
\]

Thus, the best available answer from the options given that shows an application of the Division Property of Equality in rearranging \( PV = nRT \) is:

**n = \(\frac{PV}{RT}\)**