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A cluster of galaxies has a radius of about 5.2 million light-years (4.9×10^22 ) and an intracluster medium with a temperature of (6.5×10^7) K. Estimate the mass of the cluster. Give your answer in both kilograms and solar masses. Suppose the combined luminosity of all the stars in the cluster is 8.1×1012 Lsun .

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