Which way do the chlorophyll bands move on the chromatography paper?

They move up the chromatography paper.

Solvent is absorbed by the paper and moves up the paper by capillary action. As the solvent crosses the area containing plant pigment extract, the pigments dissolve in and move with the solvent. The solvent carries the dissolved pigments as it moves up the paper.

Explanation:

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b. read the phase at the intersection of any given temperature and pressure.