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2) Calculate the Debye length of 0.001 M NaCl in ethanol at room temperature (the dielectric constants for water and ethanol are 80.1 and 24.5, respectively)

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Answer #1

Theory: Deybe Length in water is determined by the formula:

Deybe Length in Picometer = 304/Sqrt(C) ehere C is the concentration in mol/L for 1-1 Electrolyte.

Solution: Step 1:

NaCl is 1-1 electrolyte since it dissoaciates into 1 Na+ ion and 1 Cl- ion

NaCl --> Na+ + Cl-

Step 2: For C= 0.001 M Solution:

Deybe Length = 304/Sqrt(C) = 304/Sqrt(0.001) = 9613 pm = 9.6 nm where nm is nanometer

Step 3: Debye length in ethanol = Deybelenth in water*Sqrt[Ethanol Dielectric constant/Water Dielectric Constnat]

= 9613*Sqrt[24.5/80.1] = 5316.5 pm = 5.316 nm

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