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NEET CHEMISTRYMedium

The number of Faradays (F) required to produce 20 g20 \text{ g} of calcium from molten CaCl2\text{CaCl}_2 (Atomic mass of Ca = 40 g mol140 \text{ g mol}^{-1}) is:

A

2

B

3

C

4

D

1

Step-by-Step Solution

The reduction reaction for calcium from molten CaCl2\text{CaCl}_2 is: Ca2++2eCa\text{Ca}^{2+} + 2e^- \rightarrow \text{Ca} This indicates that 1 mole1 \text{ mole} of calcium (40 g40 \text{ g}) requires 2 moles2 \text{ moles} of electrons, which corresponds to 2 Faradays (F)2 \text{ Faradays (F)} of charge . Given mass of calcium to be produced = 20 g20 \text{ g}. Number of moles of calcium = Given massAtomic mass=20 g40 g mol1=0.5 mol\frac{\text{Given mass}}{\text{Atomic mass}} = \frac{20 \text{ g}}{40 \text{ g mol}^{-1}} = 0.5 \text{ mol}. Since 1 mol1 \text{ mol} of Ca requires 2 F2 \text{ F}, Charge required for 0.5 mol0.5 \text{ mol} of Ca = 0.5×2 F=1 F0.5 \times 2 \text{ F} = 1 \text{ F}.

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