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A sample of ammonium chloride was heated in a closed container. NH4 Cl (s)⇌ NH3 (g) + HCl(g)at equilibrium, the pressure of NH3 (g)was found to be 1.75 atm. What is the value of the equilibrium constant, Kp, for the decomposition at this temperature?

Short Answer

Expert verified

Value of the equilibrium constant Kp = 3.06.

Step by step solution

01

Define ammonium chloride

Ammonium chloride is an inorganic compound with the formula NH4Cl and a white crystalline salt that is highly soluble in water. Solutions of ammonium chloride are mildly acidic. In its naturally occurring mineralogic form, it is known as sal ammoniac.

02

Decomposition at this temperature

Calculate the equilibrium constant Kp for decomposition of the NH4Cl

NH4 Cl (s)⇌ NH3 (g) + HCl(g)

Kp is calculated

\({K_p} = \frac{{p{{\left( {{{\rm{N}}_3}} \right)}_{eq}} \cdot p{{(HCl)}_{eq}}}}{1}\)

03

Concentration of the NH4Cl

Equilibrium pressure for the \({\rm{N}}{{\rm{H}}_3}:\)

\(p{\left( {{\rm{N}}{{\rm{H}}_3}} \right)_{{\rm{eq}}}} = 1.75{\rm{atm}}\)

The equilibrium pressure of the\({\rm{HCl}}\).

\(\begin{array}{{}{}}{{\rm{\;p/atm\;}}}&{{\rm{N}}{{\rm{H}}_3}}&{{\rm{HCl}}}\\{{\rm{\;initial\;}}}&0&0\\{{\rm{\;change\;}}}&{ + x}&{ + x}\\{{\rm{\;equilibrium\;}}}&{1.75}&{0 + x}\end{array}\)

04

Equilibrium pressure of the NH3

\(\begin{array}{{}{}}{x = 1.75{\rm{atm}}}\\{p{{(HCl)}_{{\rm{eq\;}}}} = 1.75{\rm{atm}}}\end{array}\)

We can now calculate\({K_p}\)

\(\begin{array}{{}{}}{{K_p} = 1.75 \cdot 1.75}\\{{K_p} = 3.06}\end{array}\)

Value of the equilibrium constant \({K_p} = 3.06\)

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Most popular questions from this chapter

Which of the systems described in Exercise 13.15 give homogeneous equilibria? Which give heterogeneous equilibria?

(a) \(C{H_4}(g) + C{l_2}\rightleftharpoons C{H_3}CI(g) + HCI(g)\)

(b)\({N_2}(g) + {O_2}(g)\rightleftharpoons 2NO(g)\)

(c)\(2S{O_2}(\;g) + {O_2}(\;g)\rightleftharpoons 2S{O_3}(\;g)\)

(d)\(BaS{O_3}(s)\rightleftharpoons BaO(s) + S{O_2}(g)\)

(e) \({P_4}(g) + 5{O_2}(g)\rightleftharpoons{P_4}{O_{10}}(s)\)

(f)\(B{r_2}(\;g)\rightleftharpoons 2Br(g)\)

(g) \(C{H_4}(g) + 2{O_2}(g)\rightleftharpoons C{O_2}(g) + 2{H_2}O(l)\)

(h) \(CuS{O_4} \times 5{H_2}O(s)\rightleftharpoons CuS{O_4}(s) + 5{H_2}O(g)\)

Calculate the pressures of all species at equilibrium in a mixture of NOCl, NO, and Cl2produced when a sample of NOCl with a pressure of 10.0 atm comes to equilibrium according to this reaction:

\(2NOCl(g) \rightleftharpoons 2NO(g) + C{l_2}(g)\quad {K_P} = 4.0 \times 1{0^{ - 4}}\)

Benzene is one of the compounds used as octane enhancers in unleaded gasoline. It is manufactured by the catalytic conversion of acetylene to benzene: \(3{{\rm{C}}_2}{{\rm{H}}_2}(g) \to {{\rm{C}}_6}{{\rm{H}}_6}(g)\). Which value of \({K_c}\) would make this reaction most useful commercially?

\({K_c} \approx 0.01,\;{K_c} \approx 1,\;\;{\rm{or}}\;{K_c} \approx 10.\) Explain your answer.

If you observe the following reaction at equilibrium, is it possible to tell whether the reaction stated with pure \(N{O_2}\) or with pure \({N_2}{O_4}\)? \(2N{O_2}(g) \rightleftharpoons {N_2}{O_4}(g)\)

Question:The amino acid alanine has two isomers, \(\alpha - alanine\;\)and \(\beta - alanine\;\). When equal masses of these two compounds are dissolved in equal amounts of a solvent, the solution of \(\alpha - alanine\;\)freezes at the lowest temperature. Which form, \(\alpha - alanine\;\)or\(\beta - alanine\;\) has the larger equilibrium constant for ionization \(\left( {HX \rightleftharpoons {H^ + } + {X^ - }} \right)?\)

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