How many pairs of sister chromatids are in the cell after the chromosomes replicate?

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It depends on which type of cell you are talking about.  You didn't say, so I shall address this question from a human standpoint.  Human beings have 23 pairs of homologous chromosomes in the nucleus of each body cell they produce, for a total of 46 chromosomes.  During the process of cell reproduction, one of the first things that happens is replication of the chromosomes.  These copies are called chromatids, and are bound together by a centromere.  So if we are talking about pairs, we have 46 pairs of homologous chromatids.  Understand we are talking about the process of mitosis, which is for the copying of genetic material only.  The next process is cytokinesis, which literally means "cell splitting".  When the cytoplasm of that one cell divides into two daughter cells, each one of those new daughter cells will have 23 pairs of homologous chromosomes, or 46 chromosomes.  Then, each cell will start its life cycle until it is time for the process of mitosis to initiate again.

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