question_answer

Faraday is the biggest unit of charge and is equal to 96500 coulomb. Find the number of electrons whose charge equal to the biggest unit of charge.

Answer:

1 Faraday = 96500 coulombs __________(1) Let the number of electrons be \[x\]. \[\Rightarrow \] 1 Faraday \[=x\times \]charge on each electron _________ (2) Substituting (a) in (b), we get \[\Rightarrow \]\[96500\text{ }C=x\times \] Charge on each electron \[\Rightarrow \]\[96500\text{ }C=x\times 1.6\times {{10}^{19}}C\] (Q Charge on each electron\[=1.6\times {{10}^{19}}C\]) \[\Rightarrow \]\[x=\frac{96500}{1.6\times {{10}^{-19}}}=6.03\times {{10}^{23}}\]electrons Thus, the charge of \[6.03\times {{10}^{23}}\] electrons equal to 1 Faraday.