6. Proteins and lipids are routinely separated by density using high-speed centrifugation on a sucrose gradient. The gradient is prepared by pre-mixing solutions of sucrose and buffered water and carefully pouring prescribed volumes in order of decreasing density into a centrifuge tube to form bands or layers, while avoiding mixing of the layers. The sample containing proteins and lipids is then carefully deposited on the top-most layer and centrifuged, resulting in bands of protein or lipids between distinct sucrose "bands." A sucrose gradient is prepared in order of decreasing density from the sucrose contents, volumes, and specific gravities given in the table below. Sucrose content [wt-%] 20.0 50.0 70.0 Volume [ml] 6.00 4.00 4.00 S.G. 1.0810 1.2295 1.3472 Determine the following: a. The total mass of solution in the centrifuge tube in units of grams b. The total mass of sucrose in the centrifuge tube in units of grams. C. The concentration of sucrose in g/mL in each of the three sucrose bands. d. The total mass fraction of sucrose in the centrifuge tube