\(n_{KOH}=0,5.0,2=0,1\left(mol\right)\\ a,PTHH:2KOH+H_2SO_4\rightarrow K_2SO_4+2H_2O\\ b,n_{H_2SO_4}=n_{K_2SO_4}=\dfrac{n_{KOH}}{2}=\dfrac{0,1}{2}=0,05\left(mol\right)\\ V_{ddH_2SO_4}=\dfrac{0,05}{2}=0,025\left(l\right)\\ c,K_2SO_4+Ba\left(OH\right)_2\rightarrow2KOH+BaSO_4\downarrow\\ n_{Ba\left(OH\right)_2}=n_{BaSO_4}=n_{K_2SO_4}=0,05\left(mol\right)\\ m_{ddBa\left(OH\right)_2}=\dfrac{0,05.171.100}{5}=171\left(g\right)\\ m_{BaSO_4}=233.0,05=11,6\left(g\right)\)