chapter 5 electrochemistry class 12 chemistry textbook solution
4. Answer the following :
iii. What current strength in amperes will be required to produce 2.4 g of Cu from CuSO4 solution in 1 hour ? Molar mass of Cu = 63.5 g mol-1. (2.03 A)
Answer:-
\(\text{Given:}\)
Mass of Cu = 2.4 g,
Molar mass of Cu = 63.5 g mol\(^{-1}\),
1 hour = 1 \(\times\) 60 \(\times\) 60 s = 3600 s.
\(\text{To find: Current strength (in amperes)}\)
\(\text{Formulae:}\)
1) Mole ratio = \(\frac{\text{Moles of product formed in half reaction}}{\text{Moles of electrons required in half reaction}}\)
2) \(W = \frac{I \cdot t}{96500 \, \frac{\text{C}}{\text{mol} \, e^{-1}}} \cdot \text{mole ratio} \cdot \text{molar mass}\).
\(\text{Calculation:}\)
1) Stoichiometry for the formation of Cu is
\(\text{Cu}^{2+}_{(s)} + 2e^{-} \rightarrow \text{Cu}_{(s)}\).
Using formula (1),
Mole ratio = \(\frac{1 \, \text{mole}}{2 \, \text{mole}}\).
2) Using formula (2),
\[2.4 \, \text{g} = \frac{I \cdot t}{96500 \, \frac{\text{C}}{\text{mol} \, e^{-1}}} \cdot \frac{1 \, \text{mole}}{2 \, \text{mole} \, e^{-1}} \cdot 63.5 \, \text{g mol}^{-1}.\]
Solving for \(I\):
\[I = \frac{2.4 \cdot 96500 \cdot 2}{63.5 \cdot 3600} = 2.03 \, \text{A}.\]
The current strength in amperes required to produce 2.4 g of Cu from CuSO\(_4\) is 2.03 A.
chapter 5 elctrochemistry textbook solution page 118