Đáp án: $V=\dfrac{1}{6}l$
Giải thích các bước giải:
Gọi thể tích dung dịch $Ba(OH)_2$ thêm vào là $V$ lít.
Ta có:
$n_{OH^-}=2.n_{Ba(OH)_2}=0,08V$
$n_{H^+}=n_{HNO_3}+n_{HCl}=0,1.0,1+0,1.0.06=0,016$
Dung dịch sau có $pH=2⇒[H^+]=0,01⇒n_{H^+_{dư}}$=0,01.(V+0,1)$
Lại có: $n_{H^+_{dư}}=0,016-0,08V$
Do đó: $0,01.(V+0,1)=0,016-0,08V$
$⇒V=\dfrac{1}{6}l$
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$\text{Bạn có gì không hiểu hỏi dưới phần bình luận.}$
$n_{H^+}=n_{HNO_3}+n_{HCl}=0,1.0,1+0,1.0,6=0,016(mol)$
Đặt $V_{dd Ba(OH)_2}=x(l)$
$\to n_{OH^-}=2n_{Ba(OH)_2}=2x.0,04=0,08x(mol)$
Sau phản ứng $pH<7$ nên $H^+$ dư
$n_{H^+\rm dư}=0,016-0,08x(mol)$
$V_{dd}=x+0,1(l)$
$[H^+]=10^{-2}=0,01M$
$\to 0,016-0,08x=0,01(x+0,1)$
$\to x=\dfrac{1}{6}(l)$
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