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

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=PV−nT

Answer 1

To rearrange the equation \( PV = nRT \), you want to isolate one variable on one side of the equation. Here are the rearrangements for each response option:

1. R = nTPV: Incorrect, because this does not isolate \( R \).
2. T = \(\frac{PV}{nR}\): Correct rearrangement, because it isolates \( T \).
3. n = \(\frac{PV}{RT}\): Correct rearrangement, because it isolates \( n \).
4. R = PV - nT: Incorrect, this does not follow from the original equation.

The best answers for proper rearrangements are:

• T = \(\frac{PV}{nR}\)
• n = \(\frac{PV}{RT}\)

Both are valid rearrangements depending on which variable you are solving for.