If the total electricity required to deposit 1 mole of a metal M is equal to that of 10.7 amperes of current for 10 hours. The equivalent weight of the metal is (atomic weight =M u )

Step-by-step solution

We know that, q=i t , where q is the charge in coulomb, i is the current in amperes and t is the time in seconds. q=i t aligned 10 ~h & =q=10.7 ~A 10 ~h 60 ~min ~h ⁻¹ 60 ~s ~min ⁻¹ & =3,85,200 C aligned Since, 96500 C =1 mole of electrons 3,85200 C =4 moles of electrons Since, 4 moles of electrons are needed to deposit 1 mole of metal, therefore the charge on metal ion is +4. That is, its valency is 4. Equivalent weight = Atomic weight Valency = M 4