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
upper R equals upper P upper V minus n upper T
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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 case of the equation PV = nRT, to isolate a variable such as n, T, or R, you would divide both sides by an appropriate expression.

In this context, the correct response where the equation is rearranged using division is:

n = PV / (RT)

This is because we divide both sides of the original equation \( PV = nRT \) by \( RT \) to isolate n, which exemplifies the Division Property of Equality.

Therefore, the correct answer from the provided options is:

n = PVRT (which seems to contain a typographical error and should read \( n = \frac{PV}{RT} \)).