\(m_{CaCO_3}=90\%.400=360\left(g\right)\\ \rightarrow n_{CaCO_3}=\dfrac{360}{100}=3,6\left(mol\right)\)

PTHH: CaCO₃ --t^o--> CaO + CO₂

             3,6 ----------> 3,6 -----> 3,6

\(\rightarrow n_{CaO}=3,6.75\%=2,7\left(mol\right)\\ \rightarrow n_{CaCO_3\left(chưa.pư\right)}=3,6-2,7=0,9\left(mol\right)\)

\(\rightarrow m_X=0,9.100+2,7.56=241,2\left(g\right)\\ \%m_{CaO}=\dfrac{0,9.100}{241,2}=37,31\%\)

\(V_Y=V_{CO_2}=3,6.75\%.22,4=60,48\left(l\right)\)

\(m_{CaCO_3}=\dfrac{400\cdot90\%}{100\%}=360g\Rightarrow n_{CaCO_3}=\dfrac{360}{100}=3,6mol\)

\(CaCO_3\underrightarrow{t^o}CaO+CO_2\)

3,6           3,6       3,6

Thực tế: \(n_{CaO}=3,6\cdot75\%=2,7mol\)

\(\Rightarrow m_{CaO}=2,7\cdot56=151,2g\)

a) \(n_{CaCO_3\left(bđ\right)}=\dfrac{400.90\%}{100}=3,6\left(mol\right)\)

=> \(n_{CaCO_3\left(pư\right)}=\dfrac{3,6.75}{100}=2,7\left(mol\right)\)

PTHH: CaCO₃ --t^o--> CaO + CO₂

              2,7---------->2,7---->2,7

=> m_X = m_{đá vôi} - m_CO2 = 400 - 2,7.44 = 281,2 (g)

b) 

m_CaO = 2,7.56 = 151,2 (g)

=> \(\%CaO=\dfrac{151,2}{281,2}.100\%=53,77\%\)

V_CO2 = 2,7.22,4 = 60,48 (l)

Gọi số mol CaCO₃, MgCO₃ là a, b (mol)

=> 100a + 84b = 14,2 (1)

\(n_{CO_2}=\dfrac{6,6}{44}=0,15\left(mol\right)\)

PTHH: CaCO₃ --t^o--> CaO + CO₂

                a-------------------->a

             MgCO₃ --t^o--> MgO + CO₂

                b---------------------->b

=> a + b = 0,15

=> a = 0,1; b = 0,05

=> \(\left\{{}\begin{matrix}\%m_{CaCO_3}=\dfrac{100.0,1}{14,2}.100\%=70,42\%\\\%m_{MgCO_3}=\dfrac{0,05.84}{14,2}.100\%=29,58\%\end{matrix}\right.\)

\(n_{CO_2}=\dfrac{6,6}{44}=0,15mol\)

\(CaCO_3\underrightarrow{t^o}CO_2+CaO\)

 \(x\)         \(\rightarrow\) \(x\)              

\(MgCO_3\underrightarrow{t^o}MgO+CO_2\)

 \(y\)          \(\rightarrow\)  \(y\)

\(\Rightarrow\left\{{}\begin{matrix}100x+84y=14,2\\x+y=0,15\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=0,1\\y=0,05\end{matrix}\right.\)

\(\%m_{CaCO_3}=\dfrac{0,1\cdot100}{14,2}\cdot100\%=70,42\%\)

\(\%m_{MgCO_3}=100\%-70,42\%=29,57\%\)

\(m_{CaCO_3}=400\cdot90\%=360\left(g\right)\)

\(m_{trơ}=400-360=40\left(g\right)\)

\(n_{CaCO_3}=\dfrac{360}{100}=3.6\left(mol\right)\)

\(a.\)

\(n_{CaCO_3\left(pư\right)}=3.6\cdot75\%=2.7\left(mol\right)\)

\(CaCO_3\underrightarrow{^{^{t^0}}}CaO+CO_2\)

\(2.7........2.7...........2.7\)

\(m_X=m_{CaO}+m_{CaCO_3\left(dư\right)}+m_{trơ}=2.7\cdot56+\left(3.6-2.7\right)\cdot100+40=281.2\left(g\right)\)

\(b.\)

\(\%CaO=\dfrac{2.7\cdot56}{281.2}\cdot100\%=53.77\%\)

\(V_{CO_2}=2.7\cdot22.4=60.48\left(l\right)\)

C

Ta có: \(m_{CaCO_3}=400.\dfrac{80\%}{100\%}=320\left(g\right)\)

Mà hiệu suất bằng 80%, suy ra:

\(m_{CaCO_{3_{PỨ}}}=320.\dfrac{80\%}{100\%}=256\left(g\right)\)

Ta có: \(n_{CaCO_3}=\dfrac{256}{100}=2,56\left(mol\right)\)

PTHH: \(CaCO_3\overset{t^o}{--->}CaO+CO_2\)

Theo PT: \(n_{CaO}=n_{CaCO_3}=2,56\left(mol\right)\)

=> \(m_{CaO}=2,56.56=143,36\left(g\right)\)

Ta có: \(m_{Ca_{\left(CaO\right)}}=2,56.40=102,4\left(g\right)\)

=> \(\%_{m_{Ca_{\left(CaO\right)}}}=\dfrac{102,4}{143,36}.100\%\approx73,7\%\)

Chọn A

`C_2H_6+(7/2)O_2->2CO_2+3H_2O` (to)

0,6-------------------------1,2 mol

`CO_2+Ca(OH)_2->CaCO_3+H_2O`

1,2--------------------------1,2mol

`n_(C_2H_6)=((13,44)/22.4=0,6 mol`

`=>m_(CO_2)=1,2.44=52,8g`

=>`m_(CaCO_3)=1,2.100=12g`

1) Trong 100 g đá vôi có 90 g CaCO3 (0,9 mol).

Gọi x là số mol CO2, theo pt ta có: 64,8 = 56x + 90 - 100x hay x = 0,572 mol.

V = 0,572.22,4 = 12,829 lít.

2) m = 100x = 57,2 g.

3) mCaCO3 = 90 - 100x = 32,8 g; mCaO = 64,8 - 32,8 = 32g.

a) PTHH: \(MgCO_3\xrightarrow[]{t^o}MgO+CO_2\uparrow\)

                           a______a_______a           (mol)

                \(BaCO_3\xrightarrow[]{t^o}BaO+CO_2\uparrow\)

                         b_______b______b              (mol)

Ta lập HPT: \(\left\{{}\begin{matrix}84a+197b=40,7\\40a+153b=25,3\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}a=0,25\\b=0,1\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}\%m_{MgCO_3}=\dfrac{0,25\cdot84}{40,7}\cdot100\%\approx51,6\%\\\%m_{BaCO_3}=48,4\%\\V_{CO_2}=\left(0,25+0,1\right)\cdot22,4=7,84\left(l\right)\end{matrix}\right.\)

b) PTHH: \(MgO+2HCl\rightarrow MgCl_2+H_2O\)

                \(BaO+2HCl\rightarrow BaCl_2+H_2O\)

Theo PTHH: \(n_{HCl}=2n_{MgO}+2n_{BaO}=0,7\left(mol\right)\) \(\Rightarrow V_{ddHCl}=\dfrac{0,7}{2,5}=0,28\left(l\right)=280\left(ml\right)\)

*Phần c và d tương tự câu b

PTHH:

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

0,15                                                     0,15 

\(CaO+2HCl\rightarrow CaCl_2+H_2O\)

Ta có: \(n_{CO_2}=\dfrac{3,36}{22,4}=0,15\left(mol\right)\)

\(\Rightarrow m_{CaCO_3}=0,15\cdot100=15\left(g\right)\)

\(\Rightarrow m_{CaO}=20,6-15=5,6\left(g\right)\)

\(\Rightarrow\%m_{CaCO_3}=\dfrac{15\cdot100}{20,6}\approx73\%\)

\(\Rightarrow\%m_{CaO}=100\%-73\%=27\%\)