Question
Property of Equality to rearrange the equation PV=nRT ?(1 point)
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
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
Answers
GPT-4o mini
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.
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.