Question

$100mL$ of $H_2$ gas diffuses in $10s$. $XmL$ of $O_2$ gas diffuses in t s. $X$ and $t$ cannot be :

• A. $100mL,40s$
• B. $25mL,10s$
• C. $100mL,10s$
• D. $5mL,2s$

Answer 1

The correct option is C $100mL,10s$

Given : 100 $ml$ $H2$ diffuses in 10 s

Solution :we know graham's law states that ,

$\frac{r1}{r2}$ = $\sqrt{\frac{M2}{M1}}$

$r=\frac{V}{t}$

here $M1,M2$ aremolar mass of elements

$t1,t2$ are time of diffusion

$\frac{10V{o}_2}{100t{0}_2}$= $\sqrt{\frac{2}{32}}$

$\frac{V{o}_2}{T{o}_2}$ comes out To be 2.5

checking options

$\Rightarrow$ for option A $\frac{V{o}_2}{T{o}_2}$ = 2.5

$\Rightarrow$ for option B $\frac{V{o}_2}{T{o}_2}$ = 2.5

$\Rightarrow$ for option C $\frac{V{o}_2}{T{o}_2}$ = 10

$\Rightarrow$ for option D $\frac{V{o}_2}{T{o}_2}$ = 2.5

hence here the correct option is C