Two cells, one containing AgNO3 and the other SnCl2, are connected in series and a given quantity of electricity passes through both. If 2.00 g of silver is deposited in one cell, how many grams of tin are deposited in the other?
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The mass of tin deposited is 1.1 g.
The steps involved are:
1. Write the balanced equation.
2. Use conversion factors to convert mass of Ag → moles of Ag → moles of Sn → mass of Sn
Step 1
The balanced equation for a galvanic cell is
2 × [Ag⁺ + e⁻ → Ag];
E
°
= +0.80 V
1 ×[Sn →Sn²⁺ + 2e⁻];
E
°
= +0.14 V
2Ag⁺ + Sn → 2Ag + Sn²⁺;
E
°
= +0.94 V
This equation tells you that, when you force electricity between two cells in series, the moles of tin deposited are twice the moles of silver.
Step 2
Mass of Sn = 2.0 g g Ag ×
1
mol Ag
107.9
g Ag
×
1
mol Sn
2
mol Ag
×
118.7
g Sn
1
mol Sn
= 1.1 g Sn (2 significant figures)
is it true
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