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Question

If for two gases of moleculer weights MA and MB at temperature TA and TB, TA MB=TB MA, then which property has the same magnitude for both the gases.
  1. Pressure
  2. K.E. per mole
  3. Vrms
  4. Density


Solution

The correct option is C Vrms
(a) Density of a gas (d) = PMRT
Since, MBTB=MATA 
At the same pressure, dA=dB But if the pressure is different, then dAdB

(b) Pressure of the gases would be equal if their densities are equal otherwise this wouldn't be the case. The given condition does not imply this.

(c) K.E. per mole is 32 RT
It will be different for the two gases unless their masses are the same.

(d) Vrms=3RTM, since TAMA=TBMB ; both the velocities are the same. This is the correct answer.

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