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A current of 2.5 amperes was passed through molten silver chloride for 5 hours. What mass of silver metal will be deposited? (The atomic mass of silver = 107.87 g/mol)

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To find the mass of silver metal deposited, we can use Faraday's laws of electrolysis. First, we need to find the total charge passed through the molten silver chloride.Total charge  Q  = Current  I   Time  t Q = 2.5 A  5 h  3600 s/h = 45000 C  Coulombs Now, we need to find the number of moles of electrons  n  passed through the molten silver chloride using Faraday's constant  F = 96485 C/mol .n = Q / Fn = 45000 C / 96485 C/mol  0.466 mol of electronsThe balanced half-reaction for the reduction of silver chloride is:AgCl + e  Ag + ClFrom the balanced half-reaction, we can see that 1 mole of electrons reduces 1 mole of silver ions  Ag  to 1 mole of silver metal  Ag . Therefore, the number of moles of silver metal deposited is equal to the number of moles of electrons passed through the molten silver chloride.Moles of silver metal = 0.466 molNow, we can find the mass of silver metal deposited using the atomic mass of silver  107.87 g/mol .Mass of silver metal = Moles of silver metal  Atomic mass of silverMass of silver metal = 0.466 mol  107.87 g/mol  50.25 gSo, approximately 50.25 grams of silver metal will be deposited.

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