Which of the following is an example of using the Division Property of Equality to rearrange the equation PV=nRT?(1 point)%0D%0AResponses%0D%0A%0D%0An=PVRT%0D%0An equals Start Fraction upper P upper V over upper R upper T End Fraction%0D%0A%0D%0AR=nTPV%0D%0Aupper R equals Start Fraction n upper T over upper P upper V End Fraction%0D%0A%0D%0AR=PV−nT%0D%0Aupper R equals upper P upper V minus n upper T%0D%0A%0D%0AT=PVnR

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.

In the equation \( PV = nRT \), to solve for a variable using division, you would rearrange it by dividing both sides by \( nR \) to isolate \( T \):

Starting from \( PV = nRT \), dividing both sides by \( nR \) gives:

\[ T = \frac{PV}{nR} \]

However, among the responses, the one that best represents the use of the Division Property of Equality in this context is:

  • \( T = \frac{PV}{nR} \)

This correctly illustrates rearranging the equation using division.