Which equation agrees with the ideal gas law? mc005-1.jpg mc005-2.jpg mc005-3.jpg mc005-4.jpg

The ideal gas equation is pV = nRT

From that you can derive several equations, depending on which variables are fixed.

1) When n and T are fixed:

pV = nRT = constant

pV = constant => p1 V1 = p2 V2 => p1 / V2 = p2 / V1 ---> Boyle's Law

2) When n and V are constant:

p / T = nR/V = constant

p / T = constant => p1 / T1 = p2 / T2  > Gay - Lussac's Law

3) when n and p are constant

V / T = nR/p = constant   

V / T = constant => V1 / T1 = V2 / T2 ---> Charles' Law

4) When only n is constant

pV / T = nR = constant

pV / T = constant => p1 V1 / T1 = p2 V2 / T2 > Combined gas law.

There  you have the four equations that agree with the ideal gas law.  

For a collision to be successful you need 2 different objects