) 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
Introduction to General, Organic and Biochemistry
11th Edition
ISBN:9781285869759
Author:Frederick A. Bettelheim, William H. Brown, Mary K. Campbell, Shawn O. Farrell, Omar Torres
Publisher:Frederick A. Bettelheim, William H. Brown, Mary K. Campbell, Shawn O. Farrell, Omar Torres
Chapter6: Solutions And Colloids
Section: Chapter Questions
Problem 6.29P
Related questions
Question
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).
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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