Temperature and pressure problem

[abawp]

I know that in a closed container, pressure increases as temperature increases, but I am having trouble trying to explain it mathematically. I did some searching around and came up with this formula: PV = nRT. I am having some trouble trying to apply this to my scenario;

closed volume - 496.5 cu-inche (~.5 L)
Temperature - 120* F
Pressure - 6 psi (~.41 bar)

The volume remains constant. What would the pressure be if the temperature increased to 900* F?

 

[russ_watters]

All you need to do is rearrange the equation and drop out the constants. I'm not a big fan of derivations, but...

Since n, V, and R are constants...
P/T=Constant
P1/T1=P2/T2

There are many forms for the ideal gas equation...