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Question: Answered & Verified by Expert
If $r_1, r_2$ and $r_3$ represent the most probable speeds of three different gases at the same temperature as shown in figure with molar masses $M_1, M_2$ and $M_3$ respectively. The correct order of molar masses of these gases is

ChemistryStates of MatterAP EAMCETAP EAMCET 2018 (23 Apr Shift 2)
Options:
  • A $M_1>M_3>M_2$
  • B $M_3>M_2>M_1$
  • C $M_2>M_1>M_3$
  • D $M_2>M_3>M_1$
Solution:
2803 Upvotes Verified Answer
The correct answer is: $M_2>M_1>M_3$
In the direction of $x$-axis $r_3$ increases and for same temperature most probable speed
$$
\propto \frac{1}{\sqrt{\text { molar mass }(M)}}
$$
Thus, $M_2>M_1>M_3$.

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