\(n_{Na_2SO_4}=\dfrac{142.10}{100.142}=0,1(mol)\\ Na_2SO_4+Ba(OH)_2\to BaSO_4\downarrow+2NaOH\\ \Rightarrow n_{BaSO_4}=n_{Ba(OH)_2}=0,1(mol);n_{NaOH}=0,2(mol)\\ a,m_{BaSO_4}=0,1.233=23,3(g)\\ b,m_{dd_{Ba(OH)_2}}=\dfrac{0,1.171}{15\%}=114(g)\\ c,C\%_{NaOH}=\dfrac{0,2.40}{142+114-23,3}.100\%=3,44\%\)
Ta có: \(n_{Na_2SO_4}=\dfrac{\dfrac{10\%.142}{100\%}}{142}=0,1\left(mol\right)\)
\(PTHH:Na_2SO_4+Ba\left(OH\right)_2--->BaSO_4\downarrow+2NaOH\)
a. Theo PT: \(n_{BaSO_4}=n_{Ba\left(OH\right)_2}=n_{Na_2SO_4}=0,1\left(mol\right)\)
\(\Rightarrow m_{BaSO_4}=0,1.233=23,3\left(g\right)\)
b. Ta có: \(m_{Ba\left(OH\right)_2}=0,1.171=17,1\left(g\right)\)
Mà: \(C_{\%_{Ba\left(OH\right)_2}}=\dfrac{17,1}{m_{dd_{Ba\left(OH\right)_2}}}.100\%=15\%\)
\(\Leftrightarrow m_{dd_{Ba\left(OH\right)_2}}=114\left(g\right)\)
c. Ta có: \(m_{dd_{NaOH}}=114+14,2-23,3=104,9\left(g\right)\)
Theo PT: \(n_{NaOH}=2.n_{Ba\left(OH\right)_2}=2.0,1=0,2\left(mol\right)\)
\(\Rightarrow m_{NaOH}=0,2.40=8\left(g\right)\)
\(\Rightarrow C_{\%_{NaOH}}=\dfrac{8}{104,9}.100\%=7,63\%\)