Đáp án:
VD4:
a) ${m_{BaS{O_4}}} = 46,6g$
b)
$\left[ {{H^ + }} \right] = 0,26M;\left[ {C{l^ - }} \right] = 0,3M;\left[ {SO_4^{2 - }} \right] = 0,08M;\left[ {N{a^ + }} \right] = 0,2M$
VD5:
a) ${m_{BaC{O_3}}} = 39,4g$
b) $\left[ {O{H^ - }} \right] = 1M;\left[ {N{a^ + }} \right] = 0,92M;\left[ {{K^ + }} \right] = 0,6M$; $ \left[ {CO_3^{2 - }} \right] = 0,26M$
Giải thích các bước giải:
VD4:
a)
$\begin{gathered}
{n_{Ba{{(OH)}_2}}} = 0,2mol;{n_{NaOH}} = 0,2.0,5 = 0,1mol \hfill \\
{n_{HCl}} = 0,5.0,3 = 0,15mol;{n_{{H_2}S{O_4}}} = 0,3.0,8 = 0,24mol \hfill \\
\end{gathered} $
$B{a^{2 + }} + SO_4^{2 - } \to BaS{O_4}$
⇒ $SO_4^{2 - }$ dư; $B{a^{2 + }}$ hết
$\begin{gathered}
\Rightarrow {n_{BaS{O_4}}} = {n_{B{a^{2 + }}}} = 0,2mol \hfill \\
\Rightarrow {m_{BaS{O_4}}} = 0,2.233 = 46,6g \hfill \\
\end{gathered} $
b)
$\begin{gathered}
{n_{O{H^ - }}} = {n_{NaOH}} + 2{n_{Ba{{(OH)}_2}}} = 0,1 + 0,2.2 = 0,5mol \hfill \\
{n_{{H^ + }}} = {n_{HCl}} + 2{n_{{H_2}S{O_4}}} = 0,15 + 0,24.2 = 0,63mol \hfill \\
\end{gathered} $
${H^ + } + O{H^ - } \to {H_2}O$
⇒$ O{H^ - }$ hết; ${H^ + }$ dư
Dung dịch Y gồm:
$\begin{gathered}
{n_{H_{}^ + (du)}} = 0,63 - 0,5 = 0,13mol \hfill \\
{n_{SO_4^{2 - }(du)}} = 0,24 - 0,2 = 0,04mol \hfill \\
{n_{C{l^ - }}} = {n_{HCl}} = 0,15mol \hfill \\
{n_{N{a^ + }}} = {n_{NaOH}} = 0,1mol \hfill \\
\end{gathered} $
$\begin{gathered}
\Rightarrow \left[ {{H^ + }} \right] = \dfrac{{0,13}}{{0,5}} = 0,26M;\left[ {C{l^ - }} \right] = \dfrac{{0,15}}{{0,5}} = 0,3M \hfill \\
\left[ {SO_4^{2 - }} \right] = \dfrac{{0,04}}{{0,5}} = 0,08M;\left[ {N{a^ + }} \right] = \dfrac{{0,1}}{{0,5}} = 0,2M \hfill \\
\end{gathered} $
VD5:
a) ${n_{Ba{{(OH)}_2}}} = 0,2mol;{n_{NaOH}} = 0,1mol;{n_{N{a_2}C{O_3}}} = 0,18mol;{n_{{K_2}C{O_3}}} = 0,15$
$ \Rightarrow {n_{B{a^{2 + }}}} = {n_{Ba{{(OH)}_2}}} = 0,2mol$
${n_{CO_3^{2 - }}} = {n_{{K_2}C{O_3}}} + {n_{N{a_2}C{O_3}}} = 0,18 + 0,15 = 0,33mol$
$B{a^{2 + }} + CO_3^{2 - } \to BaC{O_3}$
⇒ $B{a^{2 + }}$ hết; $CO_3^{2 - }$ dư
$\begin{gathered}
\Rightarrow {n_{BaC{O_3}}} = {n_{B{a^{2 + }}}} = 0,2mol \hfill \\
\Rightarrow {m_{BaC{O_3}}} = 0,2.197 = 39,4g \hfill \\
\end{gathered} $
b) ${n_{CO_3^{2 - }(du)}} = 0,33 - 0,2 = 0,13mol$
$\sum {{n_{N{a^ + }}}} = {n_{NaOH}} + 2{n_{N{a_2}C{O_3}}} = 0,1 + 0,18.2 = 0,46mol$
${n_{{K^ + }}} = 2{n_{{K_2}C{O_3}}} = 0,15.2 = 0,3mol$
$\sum {{n_{O{H^ - }}}} = 2{n_{Ba{{(OH)}_2}}} + {n_{NaOH}} = 2.0,2 + 0,1 = 0,5mol$
$ \Rightarrow \left[ {CO_3^{2 - }} \right] = \dfrac{{0,13}}{{0,5}} = 0,26M$
$\left[ {O{H^ - }} \right] = \dfrac{{0,5}}{{0,5}} = 1M;\left[ {N{a^ + }} \right] = \dfrac{{0,46}}{{0,5}} = 0,92M;\left[ {{K^ + }} \right] = \dfrac{{0,3}}{{0,5}} = 0,6M$