Find the dimensions of a and b in the formula [P + (a)/(V^(2))[V-b]] = RT where P is pressure and V is the volume of the gas.

Find the dimensions of a and b in the formula [P + (a)/(V^(2))[V-b]] =

1.	Find the dimensions of a and b in the formula [P + (a)/(V^(2))[V-b]] = RT where P is pressure and V is the volume of the gas.
Answer» Solution :By the principle of homogeneity, `a//V^(2)` is of the dimensions of pressure a and b is of the dimensions of volume. `[a] = ["pressure"] [V^(2)] = [ML^(-1)T^(-2)][L^(6)]=[ML^(5)T^(-2)]` `[b]=[V]=[L^(3)]`