$Fe + 2HCl \to FeCl_2 + H_2$
Theo PTHH : $n_{FeCl_2} = n_{Fe} = n_{H_2} = \dfrac{3,36}{22,4} = 0,15(mol)$
$HCl + NaOH \to NaCl + H_2O$
$FeCl_2 + 2NaOH \to Fe(OH)_2 + 2NaCl$
Ta có : $n_{NaOH} = n_{HCl\ dư} + 2n_{FeCl_2} \Rightarrow n_{HCl\ dư} = 0,5 - 0,15.2 = 0,2(mol)$
$n_{HCl\ đã\ dùng} = 2n_{FeCl_2} + n_{HCl\ dư} = 0,5(mol)$
$m_{dd\ HCl} = \dfrac{0,5.36,5}{10\%} = 182,5(gam)$
Sau phản ứng, $m_{dd} = m_{Fe} + m_{dd\ HCl} - m_{H_2} = 190,6(gam)$
$C\%_{HCl\ dư} = \dfrac{0,2.36,5}{190,6}.100\% = 3,83\%$
$C\%_{FeCl_2} = \dfrac{0,15.127}{190,6}.100\% = 10\%$