Question
Rearranging Formulas Quick Check
2 of 52 of 5 Items
Question
Which of the following is an example of using the Division 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
R=PV−nT
upper R equals upper P upper V minus n upper T
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
Answers
GPT-4o mini
The Division Property of Equality states that if you divide both sides of an equation by a non-zero number, the two sides remain equal.
In the equation \( PV = nRT \), to solve for \( R \) using the Division Property of Equality, you would divide both sides by \( nT \):
1. Start with the equation: \( PV = nRT \)
2. Divide both sides by \( nT \):
\[ R = \frac{PV}{nT} \]
So, the correct example using the Division Property of Equality to rearrange the equation \( PV = nRT \) is:
**R = \(\frac{nT}{PV}\)**
This matches the response:
**upper R equals Start Fraction n upper T over upper P upper V End Fraction.**
In the equation \( PV = nRT \), to solve for \( R \) using the Division Property of Equality, you would divide both sides by \( nT \):
1. Start with the equation: \( PV = nRT \)
2. Divide both sides by \( nT \):
\[ R = \frac{PV}{nT} \]
So, the correct example using the Division Property of Equality to rearrange the equation \( PV = nRT \) is:
**R = \(\frac{nT}{PV}\)**
This matches the response:
**upper R equals Start Fraction n upper T over upper P upper V End Fraction.**