Which of the following is an example of using the Division Property of Equality to rearrange the equation PV=nRT

Question

?(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=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

Answer 1

The Division Property of Equality states that if you divide both sides of an equation by the same nonzero number, the two sides remain equal.

To rearrange the equation \( PV = nRT \) using the Division Property of Equality, we can isolate one of the variables by dividing both sides by a term.

Looking at the provided responses, the rearrangement that demonstrates this property would be:

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

This rearrangement shows that both sides of the original equation \( PV = nRT \) have been divided by \( RT \) to isolate \( n \).

So, the correct answer is:

n=PV/RT