The rms speed of the molecules of the gas can be found as follows:
vrms=M3RT.Let the initial rms speed of the molecules of the gas will be:
vrms,1=M3RT1.Let the final rms speed of the molecules of the gas will be:
vrms,2=M3RT2Then, dividing the first expression by the second one and assuming that vrms,2=2vrms,1, we get:
2vrms,1vrms,1=T2T1,41=T2T1,T2=4T1=4⋅200 K=800 K.
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