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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

For which of the reactions in Exercise 13.15 does\({K_c}\)(calculated using concentrations) equal\({K_p}\)(calculated using pressures)?

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

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.)

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)

The initial concentrations or pressures of reactants and products are given for each of the following systems. Calculate the reaction quotient and determine the direction) in which each system will proceed to leach equilibrium.

Question: The hydrolysis of the sugar sucrose to the sugars glucose and fructose follows a first-order rate equation for the disappearance of sucrose.

C12 H22 O11(aq) + H2°¿(±ô)⟶C6 H12 O6 (aq) + C6 H12 O6 (aq)

Rate = k[C12H22O11]

In neutral solution, k = 2.1 × 10−11/s at 27 °C. (As indicated by the rate constant, this is a very slow reaction. In the human body, the rate of this reaction is sped up by a type of catalyst called an enzyme.) (Note: That is not a mistake in the equation—the products of the reaction, glucose and fructose, have the same molecular formulas, C6H12O6, but differ in the arrangement of the atoms in their molecules). The equilibrium constant for the reaction is 1.36 × 105 at 27 °C. What are the concentrations of glucose, fructose, and sucrose after a 0.150 M aqueous solution of sucrose has reached equilibrium? Remember that the activity of a solvent (the effective concentration) is 1.

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