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Chapter 14: Q44P (page 583)

An electric field is applied to a solution containing bromide ions. As a result, the ions move through the solution with an average drift speed of 3.7脳10-7m/s. The mobility of bromide ions in solution is 8.1脳10-8(m/s)(N/C). What is the magnitude of the net electric field inside the solution?

Short Answer

Expert verified

The magnitude of the net electric field inside the solution is 4.57N/C.

Step by step solution

01

Identification of the given data

The given data is listed below as,

  • The average drift speed of the bromide ions is,v=3.7脳10-7m/s.
  • The mobility of the bromide ion is,渭=8.7脳10-8m/s/N/C.
02

Significance of the drift velocity

Drift velocity can be obtained by taking the product of the electric field and the mobility andthe equation of the drift velocity gives the magnitude of the net electric field.

03

Determination of the magnitude of the net electric field

The expression for the drift velocity is as follows,

V=渭E

Here,渭is the mobility of the bromide ion and E is the electric field.

Substitute all the values in the above expression.

3.7脳10-7m/s=5.2脳10-8m/sN/C脳EE=3.7脳10-7m/s5.2脳10-8m/sN/C=4.57N/C

Thus, the magnitude of the net electric field inside the solution is 4.5N/C .

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