Sodium and chlorine ions
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The following quantities appear in the problem:
Masse \(m\) / elektrische Ladung \(q, Q\) / Kraft \(F\) / Strecke \(s\) / molare Masse \(M\) / Stoffmenge \(n\) / Anzahl \(N\) /
The following formulas must be used to solve the exercise:
\(F = \frac{1}{4\pi\epsilon_0}\cdot \frac{q_1q_2}{r^2} \quad \) \(q = N e \quad \) \(m = nM \quad \)
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Exercise:
What force would the Na^+ ions combined to form a po charge exert on the similarly combined Cl^- ions of mO table salt if these charge concentrations could be set up at rO distance? Sodium chloride has MO molar mass.
Solution:
Geg m mO m r rO r ceNaCl rightarrow M MO M GesKraftF siN Die angegebene Menge Kochsalz lässt sich in SolQtynmX/MXmol SolQtyNnX*ncNAn n fracmM fracmM n N n sscNA fracmsscNAM N Natrium- und Chlorid-Ionen separieren. Der Ladungsbetrag beider Ionensorten ist dann SolQtyqNX*ncenC q Ne fracmsscNAM e N nce q. Die beiden Ionenhäufchen ziehen sich folglich mit SolQtyF//pi/ncepsn*ncen^/rX^N F fracpiepsilon_ fracq^r^ fracpiepsilon_ fracleftfracemsscNAMright^r^ fracpi nceps fracqtyq^qtyr^ F approx FS an. F fracpiepsilon_ frace^m^sscNA^r^M^ fracpiepsilon_ leftfracemsscNArMright^ FS
What force would the Na^+ ions combined to form a po charge exert on the similarly combined Cl^- ions of mO table salt if these charge concentrations could be set up at rO distance? Sodium chloride has MO molar mass.
Solution:
Geg m mO m r rO r ceNaCl rightarrow M MO M GesKraftF siN Die angegebene Menge Kochsalz lässt sich in SolQtynmX/MXmol SolQtyNnX*ncNAn n fracmM fracmM n N n sscNA fracmsscNAM N Natrium- und Chlorid-Ionen separieren. Der Ladungsbetrag beider Ionensorten ist dann SolQtyqNX*ncenC q Ne fracmsscNAM e N nce q. Die beiden Ionenhäufchen ziehen sich folglich mit SolQtyF//pi/ncepsn*ncen^/rX^N F fracpiepsilon_ fracq^r^ fracpiepsilon_ fracleftfracemsscNAMright^r^ fracpi nceps fracqtyq^qtyr^ F approx FS an. F fracpiepsilon_ frace^m^sscNA^r^M^ fracpiepsilon_ leftfracemsscNArMright^ FS