Giải:
a) Số mol khí CO2 sinh ra là:
nCO2 = V/22,4 = 4,48/22,4 = 0,2 (mol)
PTHH: Na2CO3 + 2HCl -> 2NaCl + H2CO3
PTHH: 10NaHCO3 + 10HCl -> 10NaCl + H2O + 15CO2↑
--------------\(\dfrac{2}{15}\)------------------------------------------0,2--
b) Khối lượng NaHCO3 là:
mNaHCO3 = n.M = \(\dfrac{2}{15}\).84 = 11,2 (g)
Thành phần phần trăm theo khối lượng của NaHCO3 trong hỗn hợp ban đầu là:
%mNaHCO3 = (mNaHCO3/mhh).100 = (11,2/19).100 ≃ 58,95 %
=> %mNa2CO3 = 100 - 58,95 = 41,05 %
Vậy ...
\(\text{a) }Na_2CO_3+2HCl\rightarrow2NaCl+CO_2+H_2O\left(1\right)\\ NaHCO_3+HCl\rightarrow NaCl+CO_2+H_2O\left(2\right)\)
\(\text{b) }n_{CO_2}=\dfrac{V}{22,4}=\dfrac{4,48}{22,4}=0,2\left(mol\right)\)
\(Na_2CO_3+2HCl\rightarrow2NaCl+CO_2+H_2O\left(1\right)\\ \text{ }\text{ }\text{ }x\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }x\\ NaHCO_3+HCl\rightarrow NaCl+CO_2+H_2O\left(2\right)\\ \text{ }\text{ }\text{ }y\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }y\)
Từ \(\left(1\right)\) và \(\left(2\right),\) ta có hệ phương trình: \(\left\{{}\begin{matrix}x+y=0,2\\106x+84y=19\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=0,1\\y=0,1\end{matrix}\right.\)
\(\Rightarrow m_{Na_2CO_3}=n\cdot M=0,1\cdot106=10,6\left(g\right)\\ m_{NaHCO_3}=n\cdot M=0,1\cdot84=8,4\left(g\right)\)
\(\Rightarrow\%Na_2CO_3=\dfrac{10,6\cdot100}{19}=55,79\%\\ \%NaHCO_3=\dfrac{8,4\cdot100}{19}=44,21\%\)