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

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

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

R=PV−nT

Answer 1

The Division Property of Equality states that if you have an equation, you can divide both sides by the same non-zero number without changing the equality.

Looking at the equation \( PV = nRT \), we want to isolate one of the variables by dividing both sides by a specific quantity.

To rearrange the equation to solve for \( R \), you would divide both sides by \( nT \):

Starting with: \[ PV = nRT \]

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

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

R = \(\frac{nT}{PV}\)

This matches with the option listed as: upper R equals Start Fraction n upper T over upper P upper V End Fraction.