Which of the following is an example of using the Division Property of Equality to rearrange the equation PV=nRT ?
PV = nRT can be rearranged using the Division Property of Equality as follows:
PV/R = nT
To use the Division Property of Equality to rearrange the equation PV=nRT, you divide both sides of the equation by the same nonzero value. This allows you to isolate the variable on one side of the equation.
In this case, if you want to solve for V (volume), you would divide both sides of the equation by P (pressure). This step can be written as:
PV/P = nRT/P
Simplifying, we get:
V = nRT/P
So, rearranging the equation using the Division Property of Equality, we have V = nRT/P as an example.
To use the Division Property of Equality to rearrange the equation PV=nRT, we need to isolate the variable we're interested in, which is n in this case.
The Division Property of Equality states that if we have an equation, and we divide both sides of the equation by the same non-zero value, the equation remains equal.
So, let's rearrange the equation step by step:
1. Start with the equation: PV = nRT
2. To isolate n, we need to get rid of the other terms. Divide both sides of the equation by RT: PV / (RT) = nRT / (RT)
3. Simplify the right side: PV / (RT) = n
4. We have now rearranged the equation using the Division Property of Equality, with n isolated on one side: n = PV / (RT)
Therefore, the example of using the Division Property of Equality to rearrange the equation PV = nRT is: n = PV / (RT).