States of Matter 1 Question 24
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24. According to Graham’s law, at a given temperature the ratio of the rates of diffusion $\frac{r_{A}}{r_{B}}$ of gases $A$ and $B$ is given by (where, $p$ and $M$ are pressures and molecular weights of gases $A$ and $B$ respectively)
======= ####24. According to Graham’s law, at a given temperature the ratio of the rates of diffusion $\frac{r_{A}}{r_{B}}$ of gases $A$ and $B$ is given by (where, $p$ and $M$ are pressures and molecular weights of gases $A$ and $B$ respectively)
3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed (a) $\left(\frac{p_{A}}{p_{B}}\right)\left(\frac{M_{A}}{M_{B}}\right)^{\frac{1}{2}}$
(b) $\left(\frac{M_{A}}{M_{B}}\right)\left(\frac{p_{A}}{p_{B}}\right)^{\frac{1}{2}}$
(c) $\left(\frac{p_{A}}{p_{B}}\right)\left(\frac{M_{B}}{M_{A}}\right)^{\frac{1}{2}}$
(d) $\left(\frac{M_{A}}{M_{B}}\right)\left(\frac{p_{B}}{p_{A}}\right)^{\frac{1}{2}}$
$(1998,2 M)$
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Solution:
- Rate of effusion $\propto p_{i} ; p_{i}=$ Partial pressure of $i$ th component
$$ \propto \sqrt{\frac{1}{M}} $$
