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\(n_{Fe} = \dfrac{5000.1000}{56} = \dfrac{625000}{7}\ kmol\\ n_{FeS_2\ đã\ dùng} = \dfrac{n_{Fe}}{H\%} = \dfrac{\dfrac{625000}{7}}{89,6\%} = 99649,23\ kmol\\ m_{quăng\ pirit} = \dfrac{m_{FeS_2}}{90\%} = \dfrac{99649,23.120}{90\%} = 13259897,33 (kg) = 13259,89(tấn)\)
\(n_{Fe}=\dfrac{5000\cdot10^6}{56}=\dfrac{625}{7}\cdot10^6\left(mol\right)\)
\(BTFe:\)
\(n_{FeS_2}=n_{Fe}=\dfrac{625}{7}\cdot10^6\left(mol\right)\)
\(n_{FeS_2\left(tt\right)}=\dfrac{\dfrac{625}{7}\cdot10^6}{89.6}=\dfrac{56000\cdot10^6}{7}\left(mol\right)\)
\(\Rightarrow m_{FeS_2}=\dfrac{56000\cdot10^6\cdot120}{7}=960000\cdot10^6\left(g\right)=960000\left(tấn\right)\)
\(m_{quặng}=\dfrac{960000\cdot100}{90}=1066666.67\left(tấn\right)\)
\(m_{FeS_2}=0.6\left(tấn\right)=0.6\cdot10^3\left(kg\right)\)
\(n_{FeS_2}=\dfrac{0.6\cdot10^3}{120}=\dfrac{10^3}{200}\left(kmol\right)\)
Dựa vào sơ đồ phản ứng :
\(n_{H_2SO_4}=2n_{FeS_2}=2\cdot\dfrac{10^3}{200}=\dfrac{10^3}{100}=10\left(kmol\right)\)
\(m_{H_2SO_4\left(tt\right)}=10\cdot\dfrac{98}{80\%}=1225\left(kg\right)\)
\(m_{dd_{H_2SO_4}}=\dfrac{1225}{98\%}=1250\left(kg\right)=12.5\left(tấn\right)\)
\(m_{FeS_2}=\dfrac{1.60}{100}=0,6\left(tấn\right)\)
=> \(m_{FeS_2\left(pư\right)}=\dfrac{0,6.80}{100}=0,48\left(tấn\right)\)
Cứ 1 mol FeS2 điều chế được 2 mol H2SO4
=> 120g FeS2 điều chế được 196g H2SO4
=> 0,48 tấn FeS2 điều chế được 0,784 tấn H2SO4
=> \(m_{ddH_2SO_4}=\dfrac{0,784.100}{98}=0,8\left(tấn\right)\)
Ta có: $m_{FeS_2}=600(kg)\Rightarrow n_{FeS_2}=5000(mol)$
Bảo toàn S với hiệu suất 80% ta có: $n_{H_2SO_4}=5000.2.80\%=8000(mol)$
$\Rightarrow m_{ddH_2SO_4}=800(kg)$
a)
$4FeS_2 + 11O_2 \xrightarrow{t^o} 2Fe_2O_3 + 8SO_2$
$2SO_2 + O_2 \xrightarrow{t^o,xt} 2SO_3$
$SO_3 + H_2O \to H_2SO_4$
b)
$m_{FeS_2} = 1000.60\% = 600(kg)$
$n_{FeS_2} = \dfrac{600}{120} = 5(kmol)$
$n_{FeS_2\ pư} = 5.80\% = 4(kmol)$
$n_{H_2SO_4} = 2n_{FeS_2} = 8(kmol)$
$m_{H_2SO_4} = 8.98 = 784(kg)$
4FeS2+11O2to→2Fe2O3+8SO2
4FeS2+11O2→to2Fe2O3+8SO2
2SO2+O2to,xt−−→2SO3
2SO2+O2→to,xt2SO3
SO3+H2O→H2SO4
SO3+H2O→H2SO4
b)
mFeS2=1000.60%=600(kg)
mFeS2=1000.60%=600(kg)
nFeS2=600120=5(kmol)
nFeS2=600120=5(kmol)
nFeS2 pư=5.80%=4(kmol)
nFeS2 pư=5.80%=4(kmol)
nH2SO4=2nFeS2=8(kmol)
nH2SO4=2nFeS2=8(kmol)
mH2SO4=8.98=784(kg)
Đặt mA = a (tấn); mB = b (tấn)
Giả sử a + b = 1 (tấn) (1)
\(m_{Fe_2O_3\left(A\right)}=a.60\%=0,6a\left(tấn\right)=6.10^5a\left(g\right)\)
=> \(n_{Fe_2O_3\left(A\right)}=\dfrac{6.10^5a}{160}=3750a\left(mol\right)\Rightarrow n_{Fe\left(A\right)}=7500a\left(mol\right)\)
\(m_{Fe_3O_4\left(B\right)}=b.69,6\%=0,696b\left(tấn\right)=696.10^3b\left(g\right)\)
=> \(n_{Fe_3O_4\left(B\right)}=\dfrac{696.10^3b}{232}=3000b\left(mol\right)\Rightarrow n_{Fe\left(B\right)}=9000b\left(mol\right)\)
\(n_{Fe\left(tổng\right)}=\dfrac{0,48.10^6}{56}=\dfrac{60000}{7}\left(mol\right)\)
=> \(7500a+9000b=\dfrac{60000}{7}\) (2)
(1)(2) => \(a=\dfrac{2}{7}\left(tấn\right);b=\dfrac{5}{7}\left(tấn\right)\)
=> \(\dfrac{a}{b}=\dfrac{2}{5}\)
Đặt mA = a (tấn); mB = b (tấn)
Giả sử a + b = 1 (tấn) (1)
\(m_{Fe_2O_3\left(A\right)}=a.60\%=0,6a\left(tấn\right)=6.10^5a\left(g\right)\)
=> \(n_{Fe_2O_3\left(A\right)}=\dfrac{6.10^5a}{160}=3750a\left(mol\right)\Rightarrow n_{Fe\left(A\right)}=7500a\left(mol\right)\)
\(m_{Fe_3O_4\left(B\right)}=b.69,6\%=0,696b\left(tấn\right)=696.10^3b\left(g\right)\)
=> \(n_{Fe_3O_4\left(B\right)}=\dfrac{696.10^3b}{232}=3000b\left(mol\right)\Rightarrow n_{Fe\left(B\right)}=9000b\left(mol\right)\)
\(n_{Fe\left(tổng\right)}=\dfrac{0,48.10^6}{56}=\dfrac{60000}{7}\left(mol\right)\)
=> \(7500a+9000b=\dfrac{60000}{7}\) (2)
(1)(2) => \(a=\dfrac{2}{7}\left(tấn\right);b=\dfrac{5}{7}\left(tấn\right)\)
=> \(\dfrac{a}{b}=\dfrac{2}{5}\)
m(FeS2)=(100%-20%).1=0,8(tấn)
4 FeS2 + 11 O2 -to,xt-> 2 Fe2O3 + 8 SO2
\(mSO2\left(LT\right)=\dfrac{0,8.512}{480}=\dfrac{64}{75}\left(tấn\right)\\ \rightarrow mSO2\left(TT\right)=\dfrac{64}{75}.90\%=\dfrac{96}{125}\left(tấn\right)\)
SO2 + 1/2 O2 \(⇌\) SO3
\(mSO3\left(LT\right)=\dfrac{\dfrac{96}{125}.80}{64}=\dfrac{24}{25}\left(tấn\right)\\ mSO3\left(TT\right)=\dfrac{24}{25}.64\%=\dfrac{384}{625}\left(tấn\right)\)
SO3+ H2O -> H2SO4
\(mH2SO4\left(LT\right)=\dfrac{\dfrac{384}{625}.98}{80}=\dfrac{2352}{3125}\left(tấn\right)\\ mH2SO4\left(TT\right)=\dfrac{2352}{3125}.80\%=\dfrac{9408}{15625}\left(tấn\right)\)
=> \(mddH2SO4\left(72\%\right)=\dfrac{\dfrac{9408}{15625}.100}{72}=0,836\left(tấn\right)\)
m(FeS2)=(100%-20%).1=0,8(tấn)
4 FeS2 + 11 O2 -to,xt-> 2 Fe2O3 + 8 SO2
mSO2(LT)=0,8.512480=6475(tấn)→mSO2(TT)=6475.90%=96125(tấn)���2(��)=0,8.512480=6475(�ấ�)→���2(��)=6475.90%=96125(�ấ�)
SO2 + 1/2 O2 ⇌⇌ SO3
mSO3(LT)=96125.8064=2425(tấn)mSO3(TT)=2425.64%=384625(tấn)���3(��)=96125.8064=2425(�ấ�)���3(��)=2425.64%=384625(�ấ�)
SO3+ H2O -> H2SO4
mH2SO4(LT)=384625.9880=23523125(tấn)mH2SO4(TT)=23523125.80%=940815625(tấn)��2��4(��)=384625.9880=23523125(�ấ�)��2��4(��)=23523125.80%=940815625(�ấ�)
=> mddH2SO4(72%)=940815625.10072=0,836(tấn)
a) 4 FeS2 + 11 O2 -to-> 2 Fe2O3 + 8 SO2
SO2+ 1/2 O2 -to,xt-> SO3
SO3+ H2O -> H2SO4
mFeS2= 0,58. 3=1,74(tấn)
m(H2SO4, lí thuyết)=(98.1,74)/480=0,35525(tấn)
Vì: H=70% -> mH2SO4(TT)=0,35525.70%=0,248675(tấn)
=> mddH2SO4= (0,248675.100)/98=0,25375(tấn)=253,75(kg)