a) Gọi \(\left\{{}\begin{matrix}C_{M\left(A\right)}=aM\\C_{M\left(B\right)}=bM\end{matrix}\right.\)
Giả sử trộn 80ml dd A với 80ml dd B để thu được 160ml dd C
\(\left\{{}\begin{matrix}n_{NaOH}=0,08a\left(mol\right)\\n_{Ba\left(OH\right)_2}=0,08b\left(mol\right)\end{matrix}\right.\); \(n_{H_2SO_4}=0,035.2=0,07\left(mol\right)\)
\(n_{BaSO_4}=\dfrac{9,32}{233}=0,04\left(mol\right)\)
PTHH: \(Ba\left(OH\right)_2+H_2SO_4\rightarrow BaSO_4\downarrow+2H_2O\)
0,04<-------0,04<------0,04
\(2NaOH+H_2SO_4\rightarrow Na_2SO_4+2H_2O\)
0,06<------0,03
=> \(\left\{{}\begin{matrix}0,08b=0,04\\0,08a=0,06\end{matrix}\right.\) => a = 0,75; b = 0,5
b)
Giả sử trộn x (lít) dd B với 20ml dd A
\(\left\{{}\begin{matrix}n_{Ba\left(OH\right)_2}=0,5x\left(mol\right)\\n_{NaOH}=0,75.0,02=0,015\left(mol\right)\end{matrix}\right.\)
\(n_{Al}=\dfrac{1,08}{27}=0,04\left(mol\right)\)
PTHH: \(Ba\left(OH\right)_2+2Al+2H_2O\rightarrow Ba\left(AlO_2\right)_2+3H_2\)
0,5x----->x
\(2NaOH+2Al+2H_2O\rightarrow2NaAlO_2+3H_2\)
0,015--->0,015
=> x + 0,015 = 0,04
=> x = 0,025 (lít) = 25 (ml)