a) \(BaO+H_2O\rightarrow Ba\left(OH\right)_2\)

\(n_{Ba\left(OH\right)_2}=n_{BaO}=0,15\left(mol\right)\)

\(n_{BaCO_3}=\dfrac{23,64}{197}=0,12\left(mol\right)\)

Bảo toàn nguyên tố Ba => \(n_{Ba\left(HCO_3\right)_2}=0,15-0,12=0,03\left(mol\right)\)

Bảo toàn nguyên tố C: \(n_{CO_2}=0,12+0,03.2=0,18\left(mol\right)\)

=> \(V_{CO_2}=0,18.22,4=4,032\left(l\right)\)

b)Bảo toàn nguyên tố C : \(n_{CO_2}=n_{MgCO_3}+n_{CaCO_3}=a\left(mol\right)\)

Ta có : \(\dfrac{18,4}{100}< a< \dfrac{18,4}{84}\)

=> \(0,184< a< 0,22\)

\(n_{OH^-}=0,15.2=0,3\left(mol\right)\)

Lập T: \(\dfrac{0,3}{0,22}< T< \dfrac{0,3}{0,184}\)

=>\(1,36< T< 1,63\)

Do 1< \(1,36< T< 1,63\) <2

=> Phản ứng luôn tạo kết tủa

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\(n_{BaO}=\dfrac{22.95}{153}=0.15\left(mol\right)\)

\(BaO+H_2O\rightarrow Ba\left(OH\right)_2\)

\(0.15.......................0.15\)

\(a.\) TH1 : Chỉ tạo ra BaCO₃ . Ba(OH)₂

\(n_{BaCO_3}=\dfrac{19.7}{197}=0.1\left(mol\right)\)

\(Ba\left(OH\right)_2+CO_2\rightarrow BaCO_3+H_2O\)

\(.............0.1......0.1\)

TH2 : Tạo ra 2 muối

\(Ba\left(OH\right)_2+CO_2\rightarrow BaCO_3+H_2O\)

\(Ba\left(OH\right)_2+2CO_2\rightarrow Ba\left(HCO_3\right)_2\)

\(\sum n_{CO_2}=0.1+\left(0.15-0.1\right)\cdot2=0.2\left(mol\right)\)

\(\text{Khi đó : }\) \(2.24\le V_{CO_2}\le4.48\)

\(b.\)

\(CaCO_3+2HCl\rightarrow CaCl_2+CO_2+H_2O\)

\(MgCO_3+2HCl\rightarrow MgCl_2+CO_2+H_2O\)

\(n_{CO_2}=n_{MgCO_3}+n_{BaCO_3}=a\left(mol\right)\)

\(TC:\)

\(\dfrac{8.4}{100}< a< \dfrac{8.4}{8.4}=0.1\)

\(\Rightarrow n_{CO_2}:n_{Ba\left(OH\right)_2}< 0.1:0.15=0.67\)

=> Không thu được kết tủa.

Sửa đề : 200 ml dung dịch HCl

\(n_{CO_2}=\dfrac{1.12}{22.4}=0.05\left(mol\right)\)

\(n_{HCl}=0.2\left(mol\right)\)

\(MgCO_3+2HCl\rightarrow MgCl_2+CO_2+H_2O\)

\(0.05..............0.1.......0.05.........0.05\)

\(MgO+2HCl\rightarrow MgCl_2+H_2O\)

\(0.05.....0.2-0.1......0.05\)

\(m_{hh}=0.05\cdot84+0.05\cdot40=6.2\left(g\right)\)

\(MgCl_2+2NaOH\rightarrow Mg\left(OH\right)_2+2NaCl\)

\(n_{Mg\left(OH\right)_2}=n_{MgCl_2}=0.1\left(mol\right)\)

\(m_{Mg\left(OH\right)_2}=0.1\cdot58=5.8\left(g\right)\)

a) \(n_{MgCO_3}=\dfrac{16,8}{84}=0,2\left(mol\right)\)

PTHH: MgCO₃ + 2HCl ---> MgCl₂ + CO₂ + H₂O

            0,2--------------------->0,2----->0,2

=> \(m=m_{MgCl_2}=0,2.95=19\left(g\right)\)

\(m_{\text{dd}.sau.p\text{ư}}=150+16,8-0,2.44=158\left(g\right)\)

=> \(C\%_{MgCl_2}=\dfrac{19}{158}.100\%=12,025\%\)

b) CO₂ + Ca(OH)₂ ---> CaCO₃ + H₂O

     0,2----->0,2------------>0,2

=> \(\left\{{}\begin{matrix}m_{kt}=m_{CaCO_3}=0,2.100=20\left(g\right)\\V_{\text{dd}Ca\left(OH\right)_2}=\dfrac{0,2}{3}=\dfrac{1}{15}\left(l\right)\end{matrix}\right.\)

\(a.n_{CO_2}=\dfrac{0,672}{22,4}=0,03mol\\ CO_2+Ca\left(OH\right)_2\rightarrow CaCO_3+H_2O\)

\(n_{CO_2}=n_{Ca\left(OH\right)_2}=n_{CaCO_3}=0,03mol\\ m_{CaCO_3}=0,03.100=3g\\ b.V_{ddCa\left(OH\right)_2}=\dfrac{0,03}{1,5}=0,02l\)