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

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

R=nT/PV
upper R equals Start Fraction n upper T over upper P upper V End Fraction

n=PV/RT

1 answer

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. To rearrange the equation \( PV = nRT \) using this property, you're looking for a response that involves dividing both sides of the equation by a term to isolate one variable.

Among the provided options, the correct example of using the Division Property of Equality to rearrange the equation is:

R=nT/PV

In this case, both sides of the equation \( PV = nRT \) are divided by \( nT \) to isolate \( R \): \[ R = \frac{nT}{PV} \]

So the answer is R=nT/PV.

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