Q14P - Chemistry: Molecular Nature Of Matter And Change

Question

Balance each reaction and write its reaction quotient,${\mathbf{Q}}_{\mathbf{C}}$ :

$$\begin{gathered} \mathbf{\left(}\mathbf{a}\mathbf{\right)}\mathbf{ }{\mathbf{NO}}_{\mathbf{2}}\mathbf{CI}\mathbf{\left(}\mathbf{g}\mathbf{\right)}\mathbf{ }\mathbf{ }\mathbf{𝆏}\mathbf{ }\mathbf{ }\mathbf{ }{\mathbf{NO}}_{\mathbf{2}}\mathbf{\left(}\mathbf{g}\mathbf{\right)}\mathbf{+}{\mathbf{CI}}_{\mathbf{2}}\mathbf{\left(}\mathbf{g}\mathbf{\right)} \\ \mathbf{\left(}\mathbf{b}\mathbf{\right)}\mathbf{ }{\mathbf{POCI}}_{\mathbf{3}}\mathbf{\left(}\mathbf{g}\mathbf{\right)}\mathbf{ }\mathbf{ }\mathbf{𝆏}\mathbf{ }\mathbf{ }{\mathbf{PCI}}_{\mathbf{3}}\mathbf{\left(}\mathbf{g}\mathbf{\right)}\mathbf{+}{\mathbf{O}}_{\mathbf{2}}\mathbf{\left(}\mathbf{g}\mathbf{\right)} \\ \mathbf{\left(}\mathbf{c}\mathbf{\right)}\mathbf{ }{\mathbf{NH}}_{\mathbf{3}}\mathbf{\left(}\mathbf{g}\mathbf{\right)}\mathbf{+}{\mathbf{O}}_{\mathbf{2}}\mathbf{\left(}\mathbf{g}\mathbf{\right)}\mathbf{ }\mathbf{ }\mathbf{𝆏}\mathbf{ }\mathbf{ }{\mathbf{N}}_{\mathbf{2}}\mathbf{\left(}\mathbf{g}\mathbf{\right)}\mathbf{+}{\mathbf{H}}_{\mathbf{2}}\mathbf{O}\mathbf{\left(}\mathbf{g}\mathbf{\right)} \end{gathered}$$ 

Step-by-Step Solution

Answer

The answer is,

$$\begin{gathered} \mathbf{\left(}\mathbf{a}\mathbf{\right)}\mathbf{ }\mathbf{2}{\mathbf{NO}}_{\mathbf{2}}\mathbf{CI}\mathbf{\left(}\mathbf{g}\mathbf{\right)}\mathbf{ }\mathbf{ }\mathbf{𝆏}\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{2}{\mathbf{NO}}_{\mathbf{2}}\mathbf{\left(}\mathbf{g}\mathbf{\right)}\mathbf{+}{\mathbf{CI}}_{\mathbf{2}}\mathbf{\left(}\mathbf{g}\mathbf{\right)}\mathbf{,}\mathit{Q}\mathbf{=}\frac{\left[{\mathrm{NO}}_2\right]{}^{\mathbf{2}}\left[{\mathrm{CI}}_2\right]}{{\left[{\mathrm{NO}}_2\mathrm{CI}\right]}^{\mathbf{2}}} \\ \mathbf{\left(}\mathbf{b}\mathbf{\right)}\mathbf{ }\mathbf{2}{\mathbf{POCI}}_{\mathbf{3}}\mathbf{\left(}\mathbf{g}\mathbf{\right)}\mathbf{ }\mathbf{ }\mathbf{𝆏}\mathbf{ }\mathbf{ }\mathbf{2}{\mathbf{PCI}}_{\mathbf{3}}\mathbf{\left(}\mathbf{g}\mathbf{\right)}\mathbf{+}{\mathbf{O}}_{\mathbf{2}}\mathbf{\left(}\mathbf{g}\mathbf{\right)}\mathbf{,}\mathit{Q}\mathbf{=}\frac{{\mathbf{\left[}{\mathbf{PCI}}_{\mathbf{3}}\mathbf{\right]}}^{\mathbf{2}}\mathbf{\left[}{\mathbf{O}}_{\mathbf{2}}\mathbf{\right]}}{{\mathbf{\left[}{\mathbf{POCI}}_{\mathbf{3}}\mathbf{\right]}}^{\mathbf{2}}} \\ \mathbf{\left(}\mathbf{c}\mathbf{\right)}\mathbf{ }\mathbf{4}{\mathbf{NH}}_{\mathbf{3}}\mathbf{\left(}\mathbf{g}\mathbf{\right)}\mathbf{+}\mathbf{3}{\mathbf{O}}_{\mathbf{2}}\mathbf{\left(}\mathbf{g}\mathbf{\right)}\mathbf{ }\mathbf{ }\mathbf{𝆏}\mathbf{ }\mathbf{ }\mathbf{2}{\mathbf{N}}_{\mathbf{2}}\mathbf{\left(}\mathbf{g}\mathbf{\right)}\mathbf{+}\mathbf{6}{\mathbf{H}}_{\mathbf{2}}\mathbf{O}\mathbf{\left(}\mathbf{g}\mathbf{\right)}\mathbf{,}\mathit{Q}\mathbf{=}\frac{{\mathbf{\left[}{\mathbf{N}}_{\mathbf{2}}\mathbf{\right]}}^{\mathbf{2}}{\mathbf{\left[}{\mathbf{H}}_{\mathbf{2}}\mathbf{O}\mathbf{\right]}}^{\mathbf{6}}}{{\mathbf{\left[}{\mathbf{NH}}_{\mathbf{3}}\mathbf{\right]}}^{\mathbf{4}}{\mathbf{\left[}{\mathbf{O}}_{\mathbf{2}}\mathbf{\right]}}^{\mathbf{3}}} \end{gathered}$$

Step 1: Reaction quotient

The Reaction quotient is the ratio of reactants and product concentrations. It gives the relative amount of the substance present in the mixture at a constant temperature at a given time.

Step 2: Subpart (a)

The balanced chemical equation for the given reaction is shown below.

$\mathbf{2}{\mathbf{NO}}_{\mathbf{2}}\mathbf{CI}\mathbf{\left(}\mathbf{g}\mathbf{\right)}\mathbf{ }\mathbf{ }\mathbf{𝆏}\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{2}{\mathbf{NO}}_{\mathbf{2}}\mathbf{\left(}\mathbf{g}\mathbf{\right)}\mathbf{+}{\mathbf{CI}}_{\mathbf{2}}\mathbf{\left(}\mathbf{g}\mathbf{\right)}$

The reaction quotient for the given reaction is as shown below.

 $\mathit{Q}\mathbf{=}\frac{{\mathbf{\left[}{\mathbf{NO}}_{\mathbf{2}}\mathbf{\right]}}^{\mathbf{2}}\mathbf{\left[}{\mathbf{CI}}_{\mathbf{2}}\mathbf{\right]}}{{\mathbf{\left[}{\mathbf{NO}}_{\mathbf{2}}\mathbf{CI}\mathbf{\right]}}^{\mathbf{2}}}$

The reaction quotient can be written only from the balanced chemical equations. Since it involves the stochiometry of the substances present in the reactions.

Step 3: Subpart (b)

The balanced chemical equation for the given reaction is shown below.

$\mathbf{2}{\mathbf{POCI}}_{\mathbf{3}}\mathbf{\left(}\mathbf{g}\mathbf{\right)}\mathbf{ }\mathbf{ }\mathbf{𝆏}\mathbf{ }\mathbf{ }\mathbf{2}{\mathbf{PCI}}_{\mathbf{3}}\mathbf{\left(}\mathbf{g}\mathbf{\right)}\mathbf{+}{\mathbf{O}}_{\mathbf{2}}\mathbf{\left(}\mathbf{g}\mathbf{\right)}$

The reaction quotient for the given reaction is as shown below.

$\mathit{Q}\mathbf{=}\frac{{\mathbf{\left[}{\mathbf{PCI}}_{\mathbf{3}}\mathbf{\right]}}^{\mathbf{2}}\mathbf{\left[}{\mathbf{O}}_{\mathbf{2}}\mathbf{\right]}}{{\mathbf{\left[}{\mathbf{POCI}}_{\mathbf{3}}\mathbf{\right]}}^{\mathbf{2}}}$ 

The reaction quotient can be written only from the balanced chemical equations. Since it involves the stochiometry of the substances present in the reactions.

Step 4: Subpart (c)

The balanced chemical equation for the given reaction is shown below.

$\mathbf{ }\mathbf{4}{\mathbf{NH}}_{\mathbf{3}}\mathbf{\left(}\mathbf{g}\mathbf{\right)}\mathbf{+}\mathbf{3}{\mathbf{O}}_{\mathbf{2}}\mathbf{\left(}\mathbf{g}\mathbf{\right)}\mathbf{ }\mathbf{ }\mathbf{𝆏}\mathbf{ }\mathbf{ }\mathbf{2}{\mathbf{N}}_{\mathbf{2}}\mathbf{\left(}\mathbf{g}\mathbf{\right)}\mathbf{+}\mathbf{6}{\mathbf{H}}_{\mathbf{2}}\mathbf{O}\mathbf{\left(}\mathbf{g}\mathbf{\right)}$

The reaction quotient for the given reaction is as shown below.

 $\mathit{Q}\mathbf{=}\frac{{\mathbf{\left[}{\mathbf{N}}_{\mathbf{2}}\mathbf{\right]}}^{\mathbf{2}}{\mathbf{\left[}{\mathbf{H}}_{\mathbf{2}}\mathbf{O}\mathbf{\right]}}^{\mathbf{6}}}{{\mathbf{\left[}{\mathbf{NH}}_{\mathbf{3}}\mathbf{\right]}}^{\mathbf{4}}{\mathbf{\left[}{\mathbf{O}}_{\mathbf{2}}\mathbf{\right]}}^{\mathbf{3}}}$

The reaction quotient can be written only from the balanced chemical equations. Since it involves the stochiometry of the substances present in the reactions.