Chemistry - Ideal Gas Question with Solution | TestHub

$r_{H_2}=\frac{Volumeof{H}_{2}effused}{Usedtime}=\frac{x}{5}$mL/sec.

(a)

$\frac{r_{H_2}}{r_{He}}=\sqrt{\frac{M_{He}}{M_{H_2}}}=\sqrt{\frac{4}{2}}=\sqrt{2}$

$r_{H_2}=\sqrt{2}\times r_{He}=\sqrt{2}\times \frac{X}{10}$

(b)

$$\frac{r_{H_2}}{r_{O_2}}=\sqrt{\frac{M_{O_2}}{M_{H_2}}}=\sqrt{\frac{32}{2}}=\sqrt{16}=4$$

$r_{H_2}=4\times r_{O_2}=4\times \frac{X}{20}=\frac{X}{5}$

(c)

$$\frac{r_{H_2}}{r_{CO}}=\sqrt{\frac{M_{CO}}{M_{H_2}}}=\sqrt{\frac{28}{2}}=\sqrt{14}\approx 3.74$$

$r_{H_2}=3.74\times r_{CO}=3.74\times \frac{X}{25}$

(d)

$$\frac{r_{H_2}}{r_{C{O}_2}}=\sqrt{\frac{M_{C{O}_2}}{M_{H_2}}}=\sqrt{\frac{44}{2}}=\sqrt{22}\approx 4.69$$

$r_{H_2}=4.69\times r_{C{O}_2}=4.69\times \frac{X}{55}$