\(a,MgCO_3\rightarrow\left(t^o\right)MgO+CO_2\\ Na_2O+H_2O\rightarrow2NaOH\\ CO_2+2NaOH\rightarrow Na_2CO_3+H_2O\\ n_{CO_2}=n_{MgO}=n_{MgCO_3}=\dfrac{84}{84}=1\left(mol\right);n_{NaOH}=2.n_{Na_2O}=2.\dfrac{4,65}{62}=0,15\left(mol\right)\\ Vì:\dfrac{0,15}{2}>\dfrac{1}{1}\Rightarrow CO_2dư\\ n_{Na_2CO_3}=\dfrac{0,15}{2}=0,075\left(mol\right)\Rightarrow m_{Na_2CO_3}=106.0,075=7,95\left(g\right)\\ m_{CO_2\left(dư\right)}=\left(1-\dfrac{0,15}{2}\right).44=40,7\left(g\right)\\ m_{MgO}=40.1=40\left(g\right)\\ b,n_{CO_2}=0,1\left(mol\right)\\ Có:1< \dfrac{0,15}{0,1}=1,5< 2\\ \Rightarrow SP:n_{Na_2CO_3}=n_{NaHCO_3}=\dfrac{0,1}{2}=0,05\left(mol\right)\\ m_{muối}=0,05.\left(106+84\right)=9,5\left(g\right)\)