Suppose each of 50 distinguishable objects has a volume of \(1.00 \times 10^{-9} \mathrm{~mm}^{3}\) and are initially in a box that has a volume of \(1.00 \times 10^{-6} \mathrm{~m}^{3}\). If the volume of the box is doubled,

(a) by what factor does the number of basic states change and \((b)\) by what factor does the entropy increase?