PTHH: \(K+H_2O\rightarrow KOH+\dfrac{1}{2}H_2\uparrow\)
a) Ta có: \(n_K=\dfrac{7,8}{39}=0,2\left(mol\right)\)
\(\Rightarrow\left\{{}\begin{matrix}n_{KOH}=0,2\left(mol\right)\\n_{H_2}=0,1\left(mol\right)\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}m_{KOH}=0,2\cdot56=11,2\left(g\right)\\m_{H_2}=0,1\cdot2=0,2 \left(g\right)\end{matrix}\right.\)
Mặt khác: \(m_{dd\left(saup/ứ\right)}=m_K+m_{H_2O}-m_{H_2}=400\left(g\right)\)
\(\Rightarrow C\%_{KOH}=\dfrac{11,2}{400}\cdot100\%=2,8\%\)
b) Ta có: \(V_{dd\left(saup/ứ\right)}=\dfrac{400}{1,08}\approx370,37\left(ml\right)=0,37037\left(l\right)\)
\(\Rightarrow C_{M_{KOH}}=\dfrac{0,2}{0,37037}\approx0,54\left(M\right)\)
