a, \(Na_2CO_3+2HCl\rightarrow2NaCl+CO_2+H_2O\)
\(K_2CO_3+2HCl\rightarrow2KCl+CO_2+H_2O\)
Ta có: 106nNa2CO3 + 138nK2CO3 = 43,5 (1)
Theo PT: \(n_{CO_2}=n_{Na_2CO_3}+n_{K_2CO_3}=\dfrac{7,84}{22,4}=0,35\left(mol\right)\left(2\right)\)
Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}n_{Na_2CO_3}=0,15\left(mol\right)\\n_{K_2CO_3}=0,2\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Na_2CO_3}=\dfrac{0,15.106}{43,5}.100\%\approx36,55\%\\\%m_{K_2CO_3}\approx63,45\%\end{matrix}\right.\)
b, \(n_{HCl\left(pư\right)}=2n_{CO_2}=0,7\left(mol\right)\)
⇒ nHCl (dư) = 0,7.15% = 0,105 (mol)
\(\Rightarrow V_{ddHCl}=\dfrac{0,7+0,105}{2}=0,4025\left(M\right)\)
c, \(\left\{{}\begin{matrix}n_{NaCl}=2n_{Na_2CO_3}=0,3\left(mol\right)\\n_{KCl}=2n_{K_2CO_3}=0,4\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}C_{M_{NaCl}}=\dfrac{0,3}{0,4025}\approx0,745\left(M\right)\\C_{M_{KCl}}=\dfrac{0,4}{0,4025}\approx0,994\left(M\right)\end{matrix}\right.\)