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Show that the complete chemical equation, the total ionic equation, and the net ionic equation for the reaction represented by the equation \({\rm{KI}}(aq) + {{\rm{I}}_2}(aq) \rightleftharpoons {\rm{K}}{{\rm{I}}_3}(aq)\) give the same expression for the reaction quotient. \({\rm{K}}{{\rm{I}}_3}\)is composed of the ions \({{\rm{K}}^ + }\) and \({{\rm{I}}_3}^ - .\)

Short Answer

Expert verified

The complete chemical equation, the total ionic equation, and the net ionic equation for the reaction is composed of the ions \({K^ + }\) and \({I_3}^ - \) as\(\frac{{\left[ {K{I_3}} \right]}}{{[KI] \cdot \left[ {{I_2}} \right]}} = \frac{{\left[ {{K^ + }} \right] \cdot \left[ {I_3^ - } \right]}}{{\left[ {{K^ + }} \right] \cdot \left[ {{I^ - }} \right] \cdot \left[ {{I_2}} \right]}} = \frac{{\left[ {I_3^ - } \right]}}{{\left[ {{I^ - }} \right] \cdot \left[ {{I_2}} \right]}}\)

Step by step solution

01

Total ionic equation versus the net ionic equation

A net ionic equation depicts simply the chemical species participating in a reaction, but a complete ionic equation includes spectator ions as well.

02

Expression for the chemical equations

The reaction \({\rm{KI}}({\rm{aq}}) + {{\rm{I}}_2}({\rm{aq}}) \rightleftharpoons {\rm{K}}{{\rm{I}}_3}({\rm{aq}})\)

  • \({\rm{K}}{{\rm{l}}_3}\)is composed of the ions\({{\rm{K}}^ + }\)and\({\rm{I}}_3^ - \)

Let us show that the reaction quotients for the total ionic equation, the net ionic equation, and the full chemical equation all have the same expression.

  • The complete chemical equation \({\rm{KI}}({\rm{aq}}) + {{\rm{I}}_2}({\rm{aq}})\rightleftharpoons{\rm{K}}{{\rm{I}}_3}({\rm{aq}})\)

The reaction quotient

\(\begin{array}{}{Q_c} = \frac{{\left[ {K{I_3}} \right]}}{{[KI] \cdot \left[ {{I_2}} \right]}}\\ = \frac{{\left[ {{K^ + }} \right] \cdot \left[ {I_3^ - } \right]}}{{\left[ {{K^ + }} \right] \cdot \left[ {{I^ - }} \right] \cdot \left[ {{I_2}} \right]}}\\ = \frac{{\left[ {I_3^ - } \right]}}{{\left[ {{I^ - }} \right] \cdot \left[ {{I_2}} \right]}}\end{array}\)

  • The total ionic equation \({{\rm{K}}^ + }({\rm{aq}}) + {{\rm{I}}^ - }({\rm{aq}}) + {{\rm{I}}_2}({\rm{aq}})\rightleftharpoons {{\rm{K}}^ + }({\rm{aq}}) + {\rm{I}}_3^ - ({\rm{aq}})\)

The reaction quotient

\(\begin{array}{c}{Q_c} = \frac{{\left[ {{K^ + }} \right] \cdot \left[ {I_3^ - } \right]}}{{\left[ {{K^ + }} \right] \cdot \left[ {{I^ - }} \right] \cdot \left[ {{I_2}} \right]}}\\ = \frac{{\left[ {I_3^ - } \right]}}{{\left[ {{I^ - }} \right] \cdot \left[ {{I_2}} \right]}}\end{array}\)

  • The net ionic equation \({{\rm{I}}^ - }({\rm{aq}}) + {{\rm{I}}_2}({\rm{aq}})\rightleftharpoons {\rm{I}}_3^ - ({\rm{aq}})\)

The reaction quotient

\({Q_c} = \frac{{\left[ {I_3^ - } \right]}}{{\left[ {{I^ - }} \right] \cdot \left[ {{I_2}} \right]}}\)

Therefore,

\(\begin{array}{c}{Q_c} = \frac{{\left[ {K{I_3}} \right]}}{{[KI] \cdot \left[ {{I_2}} \right]}}\\ = \frac{{\left[ {{K^ + }} \right] \cdot \left[ {I_3^ - } \right]}}{{\left[ {{K^ + }} \right] \cdot \left[ {{I^ - }} \right] \cdot \left[ {{I_2}} \right]}}\\ = \frac{{\left[ {I_3^ - } \right]}}{{\left[ {{I^ - }} \right] \cdot \left[ {{I_2}} \right]}}\end{array}\)

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Most popular questions from this chapter

Write the reaction quotient expression for the ionization of NH3 in water:

Question: Calculate the pressures of NO, Cl2, and NOCl in an equilibrium mixture produced by the reaction of a starting mixture with 4.0 atm NO and 2.0 atm Cl2. (Hint: KP is small; assume the reverse reaction goes to completion then comes back to equilibrium.)

Question : A 0.010Msolution of the weak acid HA has an osmotic pressure (see chapter on solutions and colloids) of 0.293 atm at 25 °C. A 0.010Msolution of the weak acid HB has an osmotic pressure of 0.345 atm under the same conditions.

(a) Which acid has the larger equilibrium constant for ionization

HA[HA(aq) ⇌ A−(aq) + H+(aq)]or HB[HB(aq) ⇌ H+(aq) + B−(aq)]?

(b) What are the equilibrium constants for the ionization of these acids?

(Hint: Remember that each solution contains three dissolved species: the weak acid (HA or HB), the conjugate base (A− or B−), and the hydrogen ion (H+). Remember that osmotic pressure (like all colligative properties) is related to the total number of solute particles. Specifically for osmotic pressure, those concentrations are described by molarities.)

Round the following to the indicated number of significant figures:

(a) 0.424 (to two significant figures)

(b) 0.0038661 (to three significant figures)

(c) 421.25 (to four significant figures)

(d) 28,683.5 (to five significant figures)

Question: Consider the equilibrium

4NO2(g) + 6H2 O(g) ⇌ 4NH3(g) + 7O2(g)

(a) What is the expression for the equilibrium constant (Kc) of the reaction?

(b) How must the concentration of NH3 change to reach equilibrium if the reaction quotient is less than the equilibrium constant?

(c) If the reaction were at equilibrium, how would a decrease in pressure (from an increase in the volume of the reaction vessel) affect the pressure of NO2?

(d) If the change in the pressure of NO2 is 28 torr as a mixture of the four gases reaches equilibrium, how much will the pressure of O2 change?

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