KVPY SX SB Exam 2018 Question Paper

Lysosome radius is 0.5 μm $=0.5\times {10}^{\mathit{–}6}$ m
Spherical lyosome volume is $\frac{4}{3}\mathit{\pi }{\mathit{r}}^3$
$\frac{4}{3}\mathit{\pi }\frac{1}{8}\times {10}^{-18}{\mathit{m}}^3$ or $\frac{4}{3}\mathit{\pi }\frac{1}{8}\times {10}^{-15}\mathit{L}$
[H${}^{+}$] = 10${}^{\mathit{–}\mathrm{pH}}$ mole/lit
Number of moles of H${}^{+}$ ions = $\frac{4}{3}\mathit{\pi }\frac{1}{8}\times {10}^{-15}\times {10}^{-5}$ mole
Number of H${}^{+}$ ions = n × NA
n = number of moles
NA = avagadaro number
[H${}^{+}$] number = $\frac{4}{3}\mathit{\pi }\frac{1}{8}\times {10}^{-20}\times 6.023\times {10}^{+23}$
[H${}^{+}$] number = in between ${10}^3\mathrm{to}{10}^{4.}$