Kimberly Wolinski
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Think of two different states, 1 and 2. Write them down one on top of the other
(P2)(V2) = (n2)R(T2)
(P1)(V1) = (n1)R(T1)
What you'll want to do is divide the two states as is.
So if V2 = V1 and the system is closed so n1 = n2 those two terms cancel
(P2)/(P1) = (T2)/(T1) when you divide (Gay-Lussac's Law)
If the pressure is constant and a closed system P1 = P2 and n1 = n2
V2/V1=T2/T1 (Charles Law)
For constant temperature T2 = T1 and n1 = n2 for a closed system
P2(V2)/P1(V1) = 1 or P2(V2) = P1(V1) (Boyle's Law)
Of course if moles does change n1 and n2 will be different and just keep them in, and you'll have to be given how they are related.
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