1. The problem statement, all variables and given/known data An equation of state that has been used to model the behaviour of a fixed amount of a real gas is (p + a/v2) (V - b) = ZT In the equation, Z, a and b are constants, and P represents pressure, V represents volume, and T represents temperature. The constant Z depends on the amount of gas. Consider what the dimensions of a and b are in terms of the fundamental quantities of mass (M), length (L) and time (T). Q1 The dimensions of b are A L3 B L6 C M L -1T-2. D M-1 L T2 . Q2 The dimensions of a are A L6. B M L5 T-2. C M L-I T-2. D M L-5 T-1. Q3 The value of the constant Z could be expressed in terms of the unit A W B W N s-l. C N JK-1. D J K-1 2. Relevant equations V = cm3 d = m/v P = N/m2 PV = nRT? W = FD 3. The attempt at a solution Ok. I'll be honest these questions are beyond me. At first glance I am tempted to skip it. But then with what little knowledge I had, I gave it a shot. Q1 For one I know V = L3. Ok, we'll start there. If I'm finding b, that means L is going to be on top. I can't show it in working, but just looking at the equation, I'm guessing it. So it's either A or B. Q2 Again it looks like L will be on top. So that leaves A or B. Q3 Immediately it looks like K will be under. So that leaves C or D. I look at the answer I see Joules which is work (=FD), which has Newtons in it, so I don't think the ans is C. Therefore it must be D. As you can see, I have no idea how to do these type of questions. I did a google search and found a term 'Dimensional Analysis', and apparently P = M/LT2. However, this still does not allow me to answer the question. Please if a kind soul can help me out, or is there a website you can direct me which would explain these kind of questions? Thanks for your time, appreciate it.