Question

A closed glass container contain 10^5 hydrogen atom and half of them are in ionized state. What is the total charge of the system?​

Answer 1

Given:

A closed glass container contain 10^5 hydrogen atom and half of them are in ionized state.

To find:

Total charge of the system.

Calculation:

Ionised form of hydrogen is ${H}^{+}$.

So , each hydrogen ion consists of positive charge equivalent to to the magnitude of one electron charge.

Net hydrogen ions present:

$\therefore \{{H}^{ + } \} = \dfrac{1}{2} \times {10}^{5} = 5 \times {10}^{4}$

Net charge of the system :

$\sf{ \therefore \: Q_{total} = (no. \: of \: ions )\times e}$

$\sf{ = > \: Q_{total} = (5 \times {10}^{4} )\times (1.6 \times {10}^{ - 19}) }$

$\sf{ = > \: Q_{total} = 8 \times {10}^{ - 15} \: coulomb }$

So , final answer is :

$\boxed{ \red{ \sf{ \large{\: Q_{total} = 8 \times {10}^{ - 15} \: coulomb }}}}$