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To relate current, time, charge, and mass for electroplating calculations. Elect

ID: 994437 • Letter: T

Question

To relate current, time, charge, and mass for electroplating calculations.

Electroplating is a form of electrolysis in which a metal is deposited on the surface of another metal. To quantify electrolysis, use the following relationships.

Electric current is measured in amperes (A), which expresses the amount of charge, in coulombs (C), that flows per second (s):

1 A=1 C/s

Another unit of charge is the faraday (F), which is equal to a mole of electrons and is related to charge in coulombs as follows:

1 F=1 mol e=96,500 C

Galvanized nails are iron nails that have been plated with zinc to prevent rusting. The relevant reaction is

Zn2+(aq)+2eZn(s)

For a large batch of nails, a manufacturer needs to plate a total zinc mass of 2.90 kg on the surface to get adequate coverage.

There are 44.3 moles of zinc in 2.90 kg of zinc.

How many coulombs of charge are needed to produce 44.3 mol of solid zinc?

Express your answer to three significant figures and include the appropriate units.

Explanation / Answer

The reaction is Zn 2+ (aq) + 2e- ---------> Zn (S) ,

FROM THE REACTION , for one mole of Zn 2+ it is required to use 2 moles of electrons,

we have given 2.90 kg of Zinc , and also given moles of Zinc = 44.3 moles,

for 44.3 moles of zinc it is required 44.3*2= 88.6 moles of electrons,

from that we can calculate the how many coulombs of charge is required to produce 44.3 moles of zinc,

88.6 moles of e- *(96500 C/6.022*1023) (1 MOLE OF e- = 6.022*1023),

88.6 *6.022*1023= 5.3354*1025*(1.6024*1027),

=5.3354*1025* 1.6024*1027,

= 8.5494 *1052 C

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