If $r_1, r_2$ and $r_3$ represent the most probable speeds of three different gases at the same temperature…

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
  1. $M_1>M_3>M_2$
  2. $M_3>M_2>M_1$
  3. $M_2>M_1>M_3$
  4. $M_2>M_3>M_1$

Solution

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, $M_2>M_1>M_3$

Asked in: AP EAMCET 2018 (23 Apr Shift 2)

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