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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

Question: In a 3.0-L vessel, the following equilibrium partial pressures are measured: \({{\rm{N}}_2}\),190 torr;\({{\rm{H}}_2}\), 317 torr;\({\rm{N}}{{\rm{H}}_3}\)\(1.00 \times {10^3}\)torr.

  1. How will the partial pressures of\({{\rm{H}}_2},{{\rm{N}}_2}\)and \({\rm{N}}{{\rm{H}}_3}\)change if \({{\rm{H}}_2}\) is removed from the system? Will they increase, decrease, or remain the same?
  2. Hydrogen is removed from the vessel until the partial pressure of nitrogen, at equilibrium, is 250 torr. Calculate the partial pressures of the other substances under the new conditions.

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.

Question: A 1.00-L vessel at 400 °C contains the following equilibrium concentrations: N2, 1.00M; H2, 0.50M; and NH3, 0.25M. How many moles of hydrogen must be removed from the vessel to increase the concentration of nitrogen to 1.1M?

Analysis of the gases in a sealed reaction vessel containing \(N{H_3}\), \({N_2}\), and \({H_2}\) at equilibrium at \(40{0^0}C\) established the concentration of \({N_2}\) to be \(1.2M\) and the concentration of \({H_2}\) to be \(0.24M\).

\({N_2}(g) + 3{H_2}(g) \rightleftharpoons 2N{H_3}(g)\)

\({K_c} = 0.50\,at\,40{0^o}C\)

Calculate the equilibrium molar concentration of \(N{H_3}\).

Acetic acid is a weak acid that reacts with water according to this equation:

\(C{H_3}C{O_2}H(aq) + {H_2}O(aq) \rightleftharpoons {H_3}{O^ + }(aq) + C{H_3}CO_2^ - (aq)\)

Will any of the following increase the percent of acetic acid that reacts and produces \(C{H_3}CO_2^ - \)ion?

(a) Addition of \(HCl\)

(b) Addition of \(NaOH\)

(c) Addition of \(NaC{H_3}C{O_2}\)

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