Arturo O. answered 10/04/17
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Use Wien's displacement law. Are you familiar with it?
λmaxT = 0.2898 x 10-2 m·K
λmax = peak wavelength = 500 x 10-9 m
T = (0.2898 x 10-2 m·K)/λmax = (0.2898 x 10-2 m·K)/(500 x 10-9 m) = 5796 K