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

Question

Responses

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

R=nTPV
upper R equals Start Fraction n upper T over upper P upper V 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 \(PV = nRT\), we can use the Division Property of Equality to solve for \(n\). To isolate \(n\), we would divide both sides by \(RT\):

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

So, the correct example that demonstrates the use of the Division Property of Equality in rearranging the equation \(PV = nRT\) is:

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

This corresponds to the response: n = \(\frac{PV}{RT}\).