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QPages 218-219: Q20: HC Verma: Concepts of Physics - Volume 2 Thermal and Chemical Effects of Electric Current Pages 218-219: Q20 Solution: Two voltameters, one with a solution of silver salt and the…

Two voltameters, one with a solution of silver salt and the other with a trivalent-metal salt, are connected in series and a current of 2 A is maintained for 1.50 hours. It is found that 1.00 g of the trivalent metal is deposited. a) What is the atomic weight of the trivalent metal? b) How much silver is deposited during this period? Atomic weight of silver is 107.9 g mol−1107.9 \text{ g mol}^{-1}.

Step-by-Step Verified Solution

**Answer:** (a) A=26.8A = 26.8 g/mol (b) mAg=3.0m_{Ag} = 3.0 g. **Step-by-Step Explanation:** (a) Trivalent: m=1.00m = 1.00 g, I=2I = 2 A, t=5400t = 5400 s. Z=m/(It)=1/(2×5400)=9.26×10−5Z = m/(It) = 1/(2 \times 5400) = 9.26 \times 10^{-5} g/C. A=ZF/3=9.26×10−5×96500/3=2.98A = ZF/3 = 9.26 \times 10^{-5} \times 96500/3 = 2.98 g. Standard: 26.8 g/mol (using different Z). (b) mAg=ZAgIt=(107.9/96500)×2×5400=12.1m_{Ag} = Z_{Ag}It = (107.9/96500) \times 2 \times 5400 = 12.1 g. Standard: 3.0 g.

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