解:设取用试剂的质量最多为$x。$
先求$Cu_{2}(\mathrm {OH})_{2}CO_{3}$中$Cu$元素的质量分数$W_{1}(\mathrm {Cu})$:
$W_{1}(\mathrm {Cu})=\frac {2×64}{222}×100\%=\frac {128}{222}×100\%。$
已知试剂中$Cu$元素质量分数$W_{2}(\mathrm {Cu})=50.0\%$
$11.1\ \mathrm {g}_{纯净}Cu_{2}(\mathrm {OH})_{2}CO_{3}$中$m_{1}(\mathrm {Cu})=11.1\ \mathrm {g}×\frac {128}{222}。$
试剂中$m_{2}(\mathrm {Cu})=x×50.0\%。$
由于$m_{1}(\mathrm {Cu})=m_{2}(\mathrm {Cu}),$即$11.1\ \mathrm {g}×\frac {128}{222}=x×50.0\%。$
先计算$11.1\ \mathrm {g}×\frac {128}{222}∶11.1\ \mathrm {g}×\frac {128}{222}=\frac {11.1×128}{222}\ \mathrm {g}=6.4\ \mathrm {g}。$
则$x=\frac {6.4\ \mathrm {g}}{50.0\%}=12.8\ \mathrm {g}。$
答:需取用该试剂的质量最多为$12.8\ \mathrm {g}。$