Since the rms are equal, the ratios of the temperatures to the molar mass should be the same.

The molar mass of H2 is 2.016 and the molar mass of CH4 is 12.011 + 4*1.008 = 16.043.

Then T/2.016 = 331/16.043 and the required temperature is T = 2.016*331/16.043 = 41.6 K.

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