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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.

Short Answer

Expert verified
  1. As a result, the reaction will go in the opposite direction \({Q_C} > {K_c}\)
  2. As a result, the response will move forward\(Q\_\left\{ p \right\} p\)
  3. As a result, the reaction will go in the opposite direction,\({Q_C} > {K_C}\)
  4. As a result, the response will move forward,\(Q\_\left\{ p \right\} p\)
  5. As a result, the response will move forward\(Q\_\left\{ C \right\} c\)
  6. As a result, the response will move forward \(Q\_\left\{ p \right\} p\)

Step by step solution

01

Definition of reaction quotient

  • Under non-equilibrium conditions, the reaction quotient 'Q' is defined as the ratio of initial product concentrations to initial reactant concentrations.
02

Determine the reaction quotient of \(2N{H_3}(g) \rightleftharpoons {N_2}(g) + 3{H_2}(g)\)

(a)

Because of the reaction,\(2N{H_3}(g) \rightleftharpoons {N_2}(g) + 3{H_2}(g)\)

\({Q_c} = \frac{{\left| {{N_2}} \right|{{\left| {{H_2}} \right|}^3}}}{{{{\left| {N{H_3}} \right|}^2}}}\)

Given,

\(\begin{aligned}{}{K_c} = 17;\left( {N{H_3}} \right) = 0.20M,\left( {{N_2}} \right) = 1.00M,\left( {{H_2}} \right) = 1.00M\\{Q_c} = \frac{{(1.00M) \times {{(1.00M)}^3}}}{{{{(0.20M)}^2}}} = 25\end{aligned}\)

As a result, the reaction will go in the opposite direction \({Q_C} > {K_c}\)

03

Determine the reaction quotient of \(2N{H_3}(g)\rightleftharpoons  {N_2}(g) + 3{H_2}(g)1.0\;atm\) 

(b)

Because of the reaction\(2N{H_3}(g)\rightleftharpoons {N_2}(g) + 3{H_2}(g)1.0\;atm\)

\({Q_p} = \frac{{\left( {p{N_2}} \right){{\left( {p{H_2}} \right)}^3}}}{{{{\left( {pN{H_3}} \right)}^2}}}\)

Given,

\(\begin{aligned}{}{{\rm{K}}_{\rm{p}}} = 6.8 \times {10^4};{\rm{pN}}{{\rm{H}}_3} = 3.0\;{\rm{atm}},{\rm{p}}{{\rm{N}}_2} = 2.0\;{\rm{atm}},{\rm{p}}{{\rm{H}}_2} = 1.0\;{\rm{atm}}\\{{\rm{Q}}_{\rm{p}}} = \frac{{(2.0\;{\rm{atm}}){{(1.0\;{\rm{atm}})}^3}}}{{{{(3.0\;{\rm{atm}})}^2}}} = 0.22\end{aligned}\)

As a result, the response will move forward \(Q\_\left\{ p \right\} p\)

04

Determine the reaction quotient of \(2S{O_3}(g)\rightleftharpoons 2S{O_2}(g) + {O_2}(g)\) 

(c)

Because of the reaction,\(2S{O_3}(g)\rightleftharpoons 2S{O_2}(g) + {O_2}(g)\)

\({Q_c} = \frac{{\left. {{{\left| {S{O_2}} \right|}^2}\mid {O_2}} \right)}}{{\left( {{{\left. {S{O_3}} \right|}^2}} \right.}}\)

Given,

\(\begin{aligned}{l}{K_c} = 0.230;\left( {S{O_3}} \right) = 0.00M,\left( {S{O_2}} \right) = 1.00M,\left( {{O_2}} \right) = 1.00M\\{Q_c} = \frac{{{{(1.00M)}^2} \times (1.00M)}}{{{{(0.00M)}^2}}} = \propto \end{aligned}\)

As a result, the reaction will go in the opposite direction, \({Q_C} > {K_C}\)

05

Determine the reaction quotient of \(2S{O_3}(g) \rightleftharpoons 2S{O_2}(g) + {O_2}(g)1.00\;atm\) 

(d)

Because of the reaction

\(2S{O_3}(g) \rightleftharpoons 2S{O_2}(g) + {O_2}(g)1.00\;atm\)

\({Q_p} = \frac{{{{\left( {pS{O_2}} \right)}^2}\left( {p{O_2}} \right)}}{{{{\left( {pS{O_3}} \right)}^2}}}\)

Given,

\(\begin{aligned}{l}{K_p} = 16.5;pS{O_3} = 1.00\;atm,pS{O_2} = 1.00\;atm,p{O_2} = 1.0\;atm\\{Q_p} = \frac{{{{(1.00\;atm)}^2}(1.00\;atm)}}{{{{(1.00\;atm)}^2}}} = 1.0\end{aligned}\)

As a result, the response will move forward, \(Q\_\left\{ p \right\} p\)

06

Determine the reaction quotient of \(2NO(g) + C{l_2}(g) \rightleftharpoons 2NOCl(g)\) 

(e)

Because of the reaction\(2NO(g) + C{l_2}(g) \rightleftharpoons 2NOCl(g)\)

\({Q_c} = \frac{{{{(NOCl)}^2}}}{{\left( {N{O^2}\left( {C{l_2}} \right)} \right.}}\)

Given,

\(\begin{aligned}{}{K_c} = 4.6 \times 1{0^4};(NO) = 1.00M,\left( {C{l_2}} \right) = 1.00M,(NOCl) = 0M\\{Q_c} = \frac{{{{(0M)}^2}}}{{\left( {1.00{M^2}(1.00M)} \right.}} = 0\end{aligned}\)

As a result, the response will move forward \(Q\_\left\{ C \right\} c\).

07

Determine the reaction quotient of \({N_2}(g) + {O_2}(g)  \rightleftharpoons 2NO(g)\)

(f)

Because of the reaction \({N_2}(g) + {O_2}(g) \rightleftharpoons 2NO(g)\)

\({Q_p} = \frac{{\left( {pN{O^2}} \right.}}{{\left( {p{N_2}} \right)\left( {p{O_2}} \right)}}\)

Given,

\(\begin{aligned}{l}{K_p} = 0.050;pNO = 10.0\;atm,p{N_2} = 5\;atm,p{O_2} = 5\;atm\\{Q_p} = \frac{{{{(10.0\;atm)}^2}}}{{(5\;atm)(5\;atm)}} = 4\end{aligned}\)

As a result, the response will move forward \(Q\_\left\{ p \right\} p\)

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Most popular questions from this chapter

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)

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