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

Question

Responses

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

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

R=PV−nT

Answer 1

The Division Property of Equality states that you can divide both sides of an equation by the same nonzero number without changing the equality. To rearrange the equation \( PV = nRT \) using this property, we would divide both sides by \( nT \) to isolate one of the variables.

Thus, if we rearrange the equation to solve for \( R \), we would divide both sides by \( nT \):

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

This corresponds to the response:

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

So, the correct answer is:

n = PV/(RT)
(n equals Start Fraction upper P upper V over upper R upper T End Fraction)