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) hoom temp Key 2982 M & = permittivity free space 8.854× 10-12 F/M Ionic strength (I) = 1.00 x 10-5 mol/ Boltzmann Constant (K) = 1.38× 10-23 m² ks 5²k"" Avogadro # (NA) = 6.022× 1023 Mol Elementary Charge (e) = 1.602 × 10-19 c Permittivity of solvent (εr) = 78.5F/m Calculate Debye length free space ionic Strength Calculate 1.00 × 10 = Mol/L X 1,000/m-3 0.01.1/m3 Ap = √Er Eo KBT 2NA E² I Plug value in equation 78.5F/m x 8.85 X 10-12 x 1.38 × 10-23 X 298k 2 x 6.022 × 10-23 mo Numerator 78.5 x 8.854×10 Denominator 2 x 6.022 x 10 π x (1.602 × 10 - 19 (c) 2x1.00×105 16H26 971 A -12 = 6.95 X10 -10 -23 -30 ✗ 1.38X10 X 298K = 2.86 x 10 -38 2.57 X10 2 -65 -23 x (1.602 × 10-19) ² x 1.00 × 105 = 3.09_XID -30 2.86X10 = 3.09×10 -65 פו - 1.69 1.76-7 = 9.62×10-14 27

) hoom temp Key 2982 M & = permittivity free space 8.854× 10-12 F/M Ionic strength (I) = 1.00 x 10-5 mol/ Boltzmann Constant (K) = 1.38× 10-23 m² ks 5²k"" Avogadro # (NA) = 6.022× 1023 Mol Elementary Charge (e) = 1.602 × 10-19 c Permittivity of solvent (εr) = 78.5F/m Calculate Debye length free space ionic Strength Calculate 1.00 × 10 = Mol/L X 1,000/m-3 0.01.1/m3 Ap = √Er Eo KBT 2NA E² I Plug value in equation 78.5F/m x 8.85 X 10-12 x 1.38 × 10-23 X 298k 2 x 6.022 × 10-23 mo Numerator 78.5 x 8.854×10 Denominator 2 x 6.022 x 10 π x (1.602 × 10 - 19 (c) 2x1.00×105 16H26 971 A -12 = 6.95 X10 -10 -23 -30 ✗ 1.38X10 X 298K = 2.86 x 10 -38 2.57 X10 2 -65 -23 x (1.602 × 10-19) ² x 1.00 × 105 = 3.09_XID -30 2.86X10 = 3.09×10 -65 פו - 1.69 1.76-7 = 9.62×10-14 27

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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need help not sure what am doing wrong step by step please answer is 971A

During the lecture, we calculated the Debye length at physiological salt concentrations and temperature, i.e. at an ionic strength of 150 mM (i.e. 0.150 mol/l) and a temperature of T=310 K. We predicted that electrostatic interactions are effectively screened beyond distances of 8.1 Å in solutions with a physiological salt concentration.

What is the Debye length in a sample of distilled water with an ionic strength of 10.0 µM (i.e. 1.00 * 10-5 mol/l)? Assume room temperature, i.e. T= 298 K, and provide your answer as a numerical expression with 3 significant figures in Å (1 Å = 10-10 m).

) hoom temp Key 2982 M & = permittivity free space 8.854× 10-12 F/M Ionic strength (I) = 1.00 x 10-5 mol/ Boltzmann Constant (K) = 1.38× 10-23 m² ks 5²k"" Avogadro # (NA) = 6.022× 1023 Mol Elementary Charge (e) = 1.602 × 10-19 c Permittivity of solvent (εr) = 78.5F/m Calculate Debye length free space ionic Strength Calculate 1.00 × 10 = Mol/L X 1,000/m-3 0.01.1/m3 Ap = √Er Eo KBT 2NA E² I Plug value in equation 78.5F/m x 8.85 X 10-12 x 1.38 × 10-23 X 298k 2 x 6.022 × 10-23 mo Numerator 78.5 x 8.854×10 Denominator 2 x 6.022 x 10 π x (1.602 × 10 - 19 (c) 2x1.00×105 16H26 971 A -12 = 6.95 X10 -10 -23 -30 ✗ 1.38X10 X 298K = 2.86 x 10 -38 2.57 X10 2 -65 -23 x (1.602 × 10-19) ² x 1.00 × 105 = 3.09_XID -30 2.86X10 = 3.09×10 -65 פו - 1.69 1.76-7 = 9.62×10-14 27
Transcribed Image Text:) hoom temp Key 2982 M & = permittivity free space 8.854× 10-12 F/M Ionic strength (I) = 1.00 x 10-5 mol/ Boltzmann Constant (K) = 1.38× 10-23 m² ks 5²k"" Avogadro # (NA) = 6.022× 1023 Mol Elementary Charge (e) = 1.602 × 10-19 c Permittivity of solvent (εr) = 78.5F/m Calculate Debye length free space ionic Strength Calculate 1.00 × 10 = Mol/L X 1,000/m-3 0.01.1/m3 Ap = √Er Eo KBT 2NA E² I Plug value in equation 78.5F/m x 8.85 X 10-12 x 1.38 × 10-23 X 298k 2 x 6.022 × 10-23 mo Numerator 78.5 x 8.854×10 Denominator 2 x 6.022 x 10 π x (1.602 × 10 - 19 (c) 2x1.00×105 16H26 971 A -12 = 6.95 X10 -10 -23 -30 ✗ 1.38X10 X 298K = 2.86 x 10 -38 2.57 X10 2 -65 -23 x (1.602 × 10-19) ² x 1.00 × 105 = 3.09_XID -30 2.86X10 = 3.09×10 -65 פו - 1.69 1.76-7 = 9.62×10-14 27
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