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Chapter 14: Q6CP (page 559)

An electric field of magnitude 190  N/C is applied to a solution containing chloride ions. The mobility of chloride ions in solution is 7.91×10-8  (m/s)/(N/C).What is the average drift speed of the chloride ions in the solution?

Short Answer

Expert verified

1.5×10-5m/s

Step by step solution

01

Identification of given data

  • The magnitude of the electric field is, E=190N/C
  • The mobility of chloride ions is, μ=7.91×10-8 m/s/N/C
02

Explanation of Drift speed

The drift speed can be determined by taking the product of the electric field and the mobility of ions. It is the average velocity attained by the charged particles in the presence of the electric field.

03

Determination of the average drift speed of chloride ions

The expression for the drift speed of ions is as follows,

ν=E×μ

Here,Eis magnitude of the electric field, and μis the mobility of chloride ions.

For E=190N/Cand μ=7.91×10-8 m/s/N/C.

ν=190N/C7.91×10-8m/s/N/C=1.5×10-5m/s

Thus, the average drift speed of chloride ions in the solution is 1.5×10-5m/s.

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