NEET-XII-Physics
33: Thermal and Chemical Effects of Electric Current
- #22The figure shows an electrolyte of AgCl through which a current is passed. It is observed that 2.68 g of silver is deposited in 10 minutes on the cathode. Find the heat developed in the 20 Ω resistor during this period. Atomic weight of silver is 107.9 g mol-1.
FigureAns : Given:
Mass of silver deposited, m = 2.68 g
Time, t = 10 minutes = 600 s
Using the formula, m = Zit, we get:
`` 2.68\times {10}^{-3}=\frac{107.9\times {10}^{-3}}{96500}\times i\times 600``
`` \Rightarrow i=\frac{2.68\times 96500}{107.9\times 600}``
`` \Rightarrow i=3.99=4\,\mathrm{\,A\,}``
Heat developed in the 20 Ω resistor,
`` H={i}^{2}Rt``
`` \Rightarrow H={\left(4\right)}^{2}\times 20\times 600``
`` \Rightarrow H=192000\,\mathrm{\,J\,}=192\,\mathrm{\,kJ\,}``
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