Q54 / 180 · COMEDK 2016 · Chemistry

Hydrogen diffuses six times faster than gas $A$. The molar mass of gas $A$ is

  • A
    24
  • B
    36
  • Correct answer
    C
    72
  • D
    6

Solution

Rate of diffusion $\propto \frac{1}{\sqrt{\text { Molar mass }}}$ $\therefore \quad \frac{r_{\mathrm{H}}}{r_{\mathrm{A}}}=\sqrt{\frac{M_{\mathrm{A}}}{M_{\mathrm{H}}}}$ $\because \quad r_{H}=6 r_{A}$ $\therefore \quad 6=\sqrt{\frac{M_{A}}{2}}$ $\therefore \quad M_{A}=72$

Hence, the correct answer is option: 'C'.

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