Q59 / 200 · Manipal (MET) 2013 · Chemistry
Determine the relative size of Cs atom compared to a Li atom, if their densities are $1.87 \mathrm{~g} / \mathrm{cc}$ and $0.53 \mathrm{~g} / \mathrm{cc}$ respectively
- Correct answerA$r(\mathrm{Cs})=1.753 r(\mathrm{Li})$
- B$r(\mathrm{Cs})=1.936 r(\mathrm{Li})$
- C$r(\mathrm{Cs})=2.753 r(\mathrm{Li})$
- D$r(\mathrm{Cs})=2.936 r(\mathrm{Li})$
Solution
$\frac{d(\mathrm{Cs})}{d(\mathrm{Li})}=\frac{1.87}{0.53}=\frac{133}{7}\left(\frac{r(\mathrm{Li})}{r(\mathrm{Cs})}\right)^5$
$\begin{aligned} & \frac{r(\mathrm{Cs})}{r(\mathrm{Li})} =1.753 \\ & \text {or } r_{\mathrm{Cs}} =1.753 r(\mathrm{Li})\end{aligned}$
Hence, the correct answer is option: 'A'.