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1)
1,2 tấn = 1200(kg)
5 tạ = 500(kg)
\(m_{CaCO_3} = 1200.80\% = 960(kg)\)
\(CaCO_3 \xrightarrow{t^o} CaO + CO_2\\ n_{CaCO_3\ pư} = n_{CaO} = \dfrac{500}{56}(mol)\\ \Rightarrow H = \dfrac{\dfrac{500}{56}.100}{960}.100\% = 93\%\)
1 (H)= 93,11%
2 (H)=88.08%
m cao=1.064(tấn)
==> m cr = 1.065(tấn)
%m cao = 56%
\(m_{CaCO_3}=90\%.400=360\left(g\right)\\ \rightarrow n_{CaCO_3}=\dfrac{360}{100}=3,6\left(mol\right)\)
PTHH: CaCO3 --to--> 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: \(n_{CaO}=3,6\cdot75\%=2,7mol\)
\(\Rightarrow m_{CaO}=2,7\cdot56=151,2g\)
to
\(Đặt:m_{Al_2O_3}=g\left(g\right)\Rightarrow m_{CaCO_3}+m_{MgCO_3}=8g\left(g\right)\\ PTHH:CaCO_3\rightarrow\left(t^o\right)CaO+CO_2\\ MgCO_3\rightarrow\left(t^o\right)CO_2+MgO\\ Đặt:n_{CaCO_3}=a\left(mol\right);n_{MgCO_3}=b\left(mol\right)\left(a,b>0\right)\\ \Rightarrow\left\{{}\begin{matrix}100a+84b=8g\\56a+40b+g=60\%.9g=5,4g\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}a=\dfrac{31}{440}g\\b=\dfrac{1}{88}g\end{matrix}\right.\\ \Rightarrow\%m_{Al_2O_3}=\dfrac{g}{9g}.100\%=11,111\%\)
\(\%m_{MgCO_3}=\dfrac{\dfrac{1}{88}g.84}{9g}.100\%\approx10,606\%\\ \%m_{CaCO_3}=\dfrac{\dfrac{31}{440}g.100}{9g}.100\approx78,283\%\)
\(b,\%m_{\dfrac{Al_2O_3}{A}}=\dfrac{g}{\dfrac{1}{88}.40g+\dfrac{31}{440}.56g+g}.100\approx18,5185\%\\ \%m_{\dfrac{MgO}{A}}=\dfrac{\dfrac{1}{88}.40g}{\dfrac{1}{88}.40g+\dfrac{31}{440}.56g+g}.100\approx8,4175\%\\ \Rightarrow m_{Al_2O_3}=18,5185\%.2=0,37037\left(g\right)\Rightarrow n_{Al_2O_3}=\dfrac{0,37037}{102}\left(mol\right)\\ m_{MgO}=8,4175\%.2=0,16835\left(g\right)\\ \Rightarrow n_{MgO}=\dfrac{0,16835}{40}\left(mol\right)\\ m_{CaO}=2-\left(0,37037+0,16835\right)=1,46128\left(g\right)\\ \Rightarrow n_{CaO}=\dfrac{1,46128}{56}\left(mol\right)\)
\(PTHH:Al_2O_3+6HCl\rightarrow2AlCl_3+3H_2O\\ CaO+2HCl\rightarrow CaCl_2+H_2O\\ MgO+2HCl\rightarrow MgCl_2+H_2O\\ n_{HCl}=2.\left(\dfrac{1,46128}{56}+\dfrac{0,16835}{40}\right)+6.\dfrac{0,37037}{102}\approx0,0824\left(mol\right)\\ \Rightarrow V_{ddHCl}\approx\dfrac{0,0824}{0,5}\approx0,1648\left(lít\right)\approx164,8\left(ml\right)\)
Giả sử có 100g đá
=> \(m_{CaCO_3}=\dfrac{100.80}{100}=80\left(g\right)\)
\(n_{CaCO_3}=\dfrac{80}{100}=0,8\left(mol\right)\)
Gọi số mol CaCO3 phân hủy
PTHH: CaCO3 --to--> CaO + CO2
a-------------->a--->a
=> mY = 100 - 44a (g)
=> mCaO = 56a (g)
=> \(\dfrac{56a}{100-44a}.100\%=45,65\%\)
=> a = 0,6 (mol)
=> \(H=\dfrac{0,6}{0,8}.100\%=75\%\)
\(1.a.CaCO_3.t^o\rightarrow CaO+CO_2\\ b.m_{CaCO_3}=m_{CaO}+m_{CO_2}\\ \Rightarrow m_{CO_2}=m_{CaCO_3}-m_{CaO}=20-11,2=8,8\left(g\right)\)
mrắn (sau khi nung) = \(\dfrac{300.78}{100}=234\left(g\right)\)
=> mCO2 = 300 - 234 = 66 (g)
=> \(n_{CO_2}=\dfrac{66}{44}=1,5\left(mol\right)\)
mCaCO3(bđ) = 300.80% = 240 (g)
PTHH: CaCO3 --to--> CaO + CO2
1,5<-----------------1,5
=> \(H\%=\dfrac{1,5.100}{240}.100\%=62,5\%\)
\(1)PTHH:CaCO_3\xrightarrow{t^o}CaO+CO_2\uparrow\\ n_{CaCO_3}=\dfrac{500.95\%}{100}=4,75(mol)\\ \Rightarrow n_{CaO}=4,75(mol)\\ \Rightarrow m_{CaO}=4,75.56=266(g)\\ \Rightarrow m_{CaO(tt)}=266.80\%=212,8(g)\\ m_{CaCO_3(k p/ứ)}=500.95\%.20\%=95(g)\\ \Rightarrow m_A=95+212,8=307,8(g)\\ 2)\%m_{CaO}=\dfrac{212,8}{307,8}.100\%=69,136\%\\ n_{CO_2}=n_{CaO}=4,75(mol)\\ \Rightarrow V_{CO_2}=4,75.22,4=106,4(l)\)
