AMU Medical AMU Solved Paper-2003

  • question_answer
    On passing electric current of one ampere for 16 min and 5 s through one litre solution of\[CuC{{l}_{2}}\], all copper solution was deposited at cathode. The strength of \[CuC{{l}_{2}}\] solution was (molar mass of Cu = 63.5, faraday constant = 96500 C/mol)

    A)  0.2 N                                    

    B)  0.01 N

    C)  0.001 N                               

    D)  0.02 N

    Correct Answer: B

    Solution :

                     Key Idea According to Faradays first law                 W = ZIt where, W = mass of substance deposited (gram)                 I = current (amperes)                 t = time (second)                 Z = electrochemical equivalent and        \[Z=\frac{E}{96500}\] where,                 E = equivalent weight                                 \[E=\frac{atomic\text{ }weight}{valency}\] Here,     \[I=\,1\,A\], Molar mass of copper = 63.5                 t=16 min and 5 s                 \[=16\times 60+5=965\,s\] Using formula                 \[m=\frac{E}{96500}\times I\times t\]                 \[=\frac{63.5/2}{96500}\times 1\times 965\]                 \[=\frac{63.5}{200}=0.3175\,g\] Volume of \[CuC{{l}_{2}}\] solution = 1 L \[\because \] Normality                 \[=\frac{weight\text{ }of\text{ }solute/eq.\text{ }wt.\text{ }of\text{ }solute}{volume\text{ }of\text{ }solution\text{ }\left( in\text{ }litre \right)}\] \[\therefore \] Normality of \[CuC{{l}_{2}}\] solution \[=\frac{0.3175}{31.75\times 1}\]                                                                 = 0.01 N


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