$10 \, A$ current is passed through $CuSO_4$ solution for $193 \, \text{minutes}$ at $1 \, \text{bar}$ pressure and $300 \, K$ temperature. If the cell has $80 \%$ efficiency,find the weight of $Cu$ deposited and the volume of $O_2$ evolved. $[Cu = 63.5 \, u, R = 0.08314 \, \text{L bar K}^{-1} \text{mol}^{-1}]$

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(A) Total charge passed $Q = I \times t = 10 \, A \times 193 \times 60 \, s = 115800 \, C$.
Effective charge considering $80 \%$ efficiency $= 115800 \times 0.8 = 92640 \, C$.
In terms of Faraday: $Q = \frac{92640}{96500} \approx 0.96 \, F$.
Cathode reaction: $Cu^{2+} + 2e^- \rightarrow Cu_{(s)}$.
Anode reaction: $H_2O \rightarrow \frac{1}{2} O_2 + 2H^+ + 2e^-$.
Weight of $Cu$ deposited $= \frac{0.96 \, F}{2 \, F} \times 63.5 \, g \approx 30.48 \, g$.
Moles of $O_2$ produced $= \frac{0.96 \, F}{4 \, F} = 0.24 \, \text{mol}$.
Using $PV = nRT$,$V = \frac{nRT}{P} = \frac{0.24 \times 0.08314 \times 300}{1} \approx 5.986 \, L$.

Explore More

Similar Questions

How many faraday of electricity is required to produce $10 \ g$ of calcium metal (molar mass $= 40 \ g \ mol^{-1}$) from calcium ions (in $F$)?

The relation between Faraday constant $F$,electron charge $e$,and Avogadro number $N$ is:

Match the column :-
Column $I$ (Reduction process)Column $II$ (Charge required)
$(a)$ $1$ mol of $MnO_4^-$ to $Mn^{2+}$$(p)$ $193000$ $C$
$(b)$ $1$ mole of $Cr_2O_7^{2-}$ to $Cr^{3+}$$(q)$ $289500$ $C$
$(c)$ $1$ mole of $Sn^{4+}$ to $Sn^{2+}$$(r)$ $482500$ $C$
$(d)$ $1$ mole of $Al^{3+}$ to $Al$$(s)$ $579000$ $C$

Difficult
View Solution

How many coulombs are required for the oxidation of $2 \, mol$ of $H_2O_2$ to $O_2$?

Electrolysis of dilute aqueous $NaCl$ solution was carried out by passing $10 \ mA$ current. The time required to liberate $0.01 \ mol$ of $H_2$ gas at the cathode is $(1 \ F = 96500 \ C \ mol^{-1})$

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo