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Current passes through a solution of sodium chloride. In 1.00 second, 2.68×1016Na+ ions arrive at the negative electrode and 3.92×1016Cl− ions arrive at the positive electrode. Part A What is the current passing between the electrodes?

Respuesta :

Answer : The current passing between the electrodes is, [tex]1.056\times 10^{-2}A[/tex]

Explanation :

First we have to calculate the charge of sodium ion.

[tex]q=ne[/tex]

where,

q = charge of sodium ion

n = number of sodium ion = [tex]2.68\times 10^{16}[/tex]

e = charge on electron = [tex]1.6\times 10^{-19}C[/tex]

Now put all the given values in the above formula, we get:

[tex]q=(2.68\times 10^{16})\times (1.6\times 10^{-19}C)=4.288\times 10^{-3}C[/tex]

Now we have to calculate the charge of chlorine ion.

[tex]q'=ne[/tex]

where,

q' = charge of chlorine ion

n = number of chlorine ion = [tex]3.92\times 10^{16}[/tex]

e = charge on electron = [tex]1.6\times 10^{-19}C[/tex]

Now put all the given values in the above formula, we get:

[tex]q'=(3.92\times 10^{16})\times (1.6\times 10^{-19}C)=6.272\times 10^{-3}C[/tex]

Now we have to calculate the current passing between the electrodes.

[tex]I=\frac{q}{t}+\frac{q'}{t}[/tex]

[tex]I=\frac{4.288\times 10^{-3}}{1.00}+\frac{6.272\times 10^{-3}}{1.00}[/tex]

[tex]I=1.056\times 10^{-2}A[/tex]

Thus, the current passing between the electrodes is, [tex]1.056\times 10^{-2}A[/tex]