Which of the following is an example of using the Division Property of Equality to rearrange the equation PV=nRT?
A. R=PV−nT
upper R equals upper P upper V minus n upper T
B. T=PVnR
upper T equals upper P upper V n upper R
C. R=nTPV
upper R equals Start Fraction n upper T over upper P upper V End Fraction
D. n=PVRT
upper n equals upper P upper V upper R upper T
The correct answer is D. n = PVRT.
The Division Property of Equality allows you to divide both sides of an equation by the same non-zero value. In this example, to isolate n on one side of the equation, we can use the Division Property of Equality to divide both sides of the equation by P, V, and RT.
By dividing both sides by P, V, and RT, we get the equation n = PVRT.
The Division Property of Equality allows us to rearrange an equation by dividing both sides of the equation by the same non-zero value. In the equation PV = nRT, we are trying to isolate a specific variable on one side of the equation.
Let's analyze each option to see if it demonstrates the use of the Division Property of Equality:
A. R = PV - nT
This option does not involve division, so it does not utilize the Division Property of Equality.
B. T = PVnR
Similar to option A, this option does not involve division, so it does not utilize the Division Property of Equality.
C. R = (nT) / (PV)
This option involves dividing both sides of the equation by PV, which is a non-zero value. Therefore, C demonstrates the use of the Division Property of Equality.
D. n = PVRT
This option does not involve division, so it does not utilize the Division Property of Equality.
Therefore, the correct answer is C. R = (nT) / (PV).