It takes 107 minutes 22 seconds and 96500 coulombs of charge produce 20.2 g of calcium.
The balanced equation for the reaction is,
![CaCl _{2} \:→ \: Ca ^{ 2 + } + 2Cl {}^{ - }](https://tex.z-dn.net/?f=CaCl%20_%7B2%7D%20%5C%3A%E2%86%92%20%5C%3A%20Ca%20%5E%7B%202%20%2B%20%7D%20%20%2B%202Cl%20%7B%7D%5E%7B%20-%20%7D%20)
The half-reaction of calcium is,
![Ca ^{2 + } + 2e ^{ - } → \: Ca](https://tex.z-dn.net/?f=Ca%20%5E%7B2%20%2B%20%7D%20%20%2B%202e%20%5E%7B%20-%20%7D%20%E2%86%92%20%5C%3A%20Ca)
Mass of calcium = 20.2 g
The molecular mass of calcium = 40 u.
The number of moles calcium are,
![Number \: of \: moles = \frac{mass}{molecular \: mass}](https://tex.z-dn.net/?f=Number%20%5C%3A%20of%20%5C%3A%20moles%20%3D%20%20%5Cfrac%7Bmass%7D%7Bmolecular%20%5C%3A%20mass%7D%20)
![= \frac{20.2}{40}](https://tex.z-dn.net/?f=%20%20%3D%20%20%5Cfrac%7B20.2%7D%7B40%7D%20)
![= 0.5 \: moles](https://tex.z-dn.net/?f=%20%3D%200.5%20%5C%3A%20moles)
One mole of Calcium is produced by 2 moles of electrons.
So, 0.5 moles of Calcium produce,
![= 0.5 \times 2](https://tex.z-dn.net/?f=%20%3D%200.5%20%5Ctimes%202)
![= 1 \: mole \: of \: electron](https://tex.z-dn.net/?f=%20%3D%201%20%5C%3A%20mole%20%5C%3A%20of%20%5C%3A%20electron)
The charge required to produce 202 g of calcium is,
![= 1 \:F](https://tex.z-dn.net/?f=%20%3D%20%201%20%5C%3AF)
![= 1 \times 96500 \: C](https://tex.z-dn.net/?f=%20%3D%201%20%5Ctimes%2096500%20%5C%3A%20C)
![= 96500 \: C](https://tex.z-dn.net/?f=%20%3D%2096500%20%5C%3A%20C)
Current = 15 A
The time taken to produce 20.2 g of calcium is,
![I = \frac{Q}{T}](https://tex.z-dn.net/?f=I%20%20%3D%20%20%5Cfrac%7BQ%7D%7BT%7D)
![T = \frac{96500}{15}](https://tex.z-dn.net/?f=T%20%3D%20%20%5Cfrac%7B96500%7D%7B15%7D%20)
![= 6433.3 \: s](https://tex.z-dn.net/?f=%20%3D%206433.3%20%5C%3A%20s)
![= 107 \: minutes \: 22 \: seconds](https://tex.z-dn.net/?f=%20%3D%20107%20%5C%3A%20minutes%20%5C%3A%2022%20%5C%3A%20seconds)
Therefore, 96500 columns of charge are required to produce 20.2 grams of calcium. And it takes 107 minutes and 22 seconds.
To know more about charge, refer to the below link:
brainly.com/question/14713274
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