Question

The charge on 1 g ions of $A{l}^{3+}$ is

• A. 1/27 x N_Ae coulomb
• B. 1/3 x N_Ae coulomb
• C. 1/9 x N_Ae coulomb
• D. 3 x N_Ae coulomb

Answer 1

The correct option is D

3 x N_Ae coulomb

N = number of ions of $A{l}^{+3}$
m = mass of 1 molecule of gas
Na = Avogadros number
F = Charge on mole of ion(faraday)
n = number of mole of ion$\frac{Mass}{Molarmass}$
charge carried by 1g ion of an $A{l}^{+3}$ ion considered = Number of moles of $A{l}^{+3}$ $\times$ charge on 1 mole of $A{l}^{+3}$
charge on 1 mole of $A{l}^{+3}$ = valency $\times$ charge of a proton $\times$ Avagadros number =3$\times$(1.6$\times$10-19C)XNa
charge carried by 1g ion of an $A{l}^{+3}$ ion considered = n[3$\times$(1.6c$\times$10-9)$\times$Na]c