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Question

The mass of $${\text{C}}{{\text{l}}_2}$$ produced in grams when 1A current is passed through NaCl solution for 30 minute is:


A
0.35g
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B
0.66g
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C
0.23g
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D
0.76g
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Solution

The correct option is D 0.66g
The charge (q) = $$i \times t$$
                       = $$1{\text{A}} \times 30 \times 60s$$
                       = 1800 C

Current is passed through NaCl.

             $${\text{NaCl}} \to {\text{N}}{{\text{a}}^ + } + {\text{C}}{{\text{l}}^ - }$$

1 faraday of charge = 96500 C

96500C liberates 35.5g of $${\text{C}}{{\text{l}}_2}$$ which is its equivalent weight.

1 C liberates $$\dfrac{{35.5{\text{g}}}}{{96500{\text{C}}}}\,{\text{of}}\,{\text{C}}{{\text{l}}_{\text{2}}}$$

1800 C liberates $$\dfrac{{35.5{\text{g}}}}{{96500{\text{C}}}}\, \times 1800{\text{C}}\,\,{\text{of}}\,\,{\text{C}}{{\text{l}}_{\text{2}}}$$
                   
                  =0.66g

Thus, option (B) is the correct option.

Chemistry

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