A galvanic cell is set up from a zinc bar weighing `100g` and `1.0L` of `1.0M CuSO_(4)` solution. How long would the cell run if it is assumed to deliver a steady current of `1.0A. (` Atomic mass of `Zn=65)`.

Options

A. 1.1 hr
B. 46hr
C. 53. 6hr
D. 24.00hr

Answer

C

Explanation

100g of Zn`=(100)/(65)` mol. Thus according to reaction
`Zn+Cu^(2+)rarrZn^(2+)+Cu,Cu^(2+)`
Ions are limiting reagents.
Now, charge flowing for reduction of 1 molre of
`Cu^(2+)` ions `=2xx96500 C`
If 1 ampere of current is to be delivered for t hours, the quantity of electricity is 3600 t C.
Now `36 00 t=2xx96500`
`t=(2xx96500)/(3600)=53.61`hr.