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Question

The molar mass of a certain gas B is double than that of A. Also the RMS velocity of gas A is 200 ms1 at a certain temperature. RMS velocity of gas B at the temperature half of the temperature of A is:
  1. 200 ms1
  2. 300 ms1
  3. 400 ms1
  4. 100 ms1


Solution

The correct option is D 100 ms1
urms=3RTM

uA=3RTMA at temperature T,

uB=3R(T/2)MB at temperature (T/2)

uBuA=MA2MB=MA4MA=14=12
(as MB=2MA)
 uB=uA2=100 ms1

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