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The mobility of Na+ions in water is5.2×10-8(m/s)(N/C). If an electric field of2400N/Cis maintained in the fluid, what is the drift speed of the sodium ions?

Short Answer

Expert verified

The drift speed of the sodium ions is 1.25×10-4m/s.

Step by step solution

01

Identification of the given data

The given data is listed below as,

  • The mobility of theNa+ ion in water is,μ=5.2×10-8m/s/N/C
  • The electric field maintained in the fluid is,E=2500N/C
02

Significance of the drift velocity

The drift velocity refers to the average velocity a charged particle attains due to the involvement of an electric field.

The equation of the drift velocity gives the drift speed of the sodium ions.

03

Determination of the drift speed of the sodium ion

The equation of the drift speed of the sodium ion is expressed as,

v=μE

Here, μis the mobility of the sodium ion andEis the electric field.

Substitute all the values in the above expression.

v=5.2×10-8m/sN/C×2400N/C=1.25×10-4m/s

Thus, the drift speed of the sodium ions is 1.25×10-4m/s.

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