power function equation- word problem

Question

Charles law states the volume V of an enclosed ideal gas at a constant pressure varies directly as the absolute Temperature T. 

Answer 1

Writing the statement as a proportionality you have:

 

V ∝ T

 

Mathematically, the real way to turn a proportionality into an equation is:

change the proportional symbol into an equal sign and add in the constant of proportionality.

 

According to what you gave as the problem description it does not give you the constant of proportionality so you cannot do it from the problem statement.

 

But since you really do know the equation and know the constants you could get  V = nRT/P

 

Another way to go is to write it as ratios:

 

V1 is to V2  as  T1 is to T2  -or-   V1:V2::T1:T2   -or-   V1/V2 = T1/T2

 

I suspect this is what your book wants since that is the statement of Charles Law

and PV = nRT  says the same thing Plus More but is the Ideal Gas Law.