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
B
0.66g
C
0.23g
D
0.76g

Solution

## The correct option is D 0.66gThe charge (q) = $$i \times t$$                       = $$1{\text{A}} \times 30 \times 60s$$                       = 1800 CCurrent is passed through NaCl.             $${\text{NaCl}} \to {\text{N}}{{\text{a}}^ + } + {\text{C}}{{\text{l}}^ - }$$1 faraday of charge = 96500 C96500C 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 $$\dfrac{{35.5{\text{g}}}}{{96500{\text{C}}}}\, \times 1800{\text{C}}\,\,{\text{of}}\,\,{\text{C}}{{\text{l}}_{\text{2}}}$$                                     =0.66gThus, option (B) is the correct option.Chemistry

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