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\(a,n_{KMnO_4}=\dfrac{63,2}{158}=0,4\left(mol\right)\\ 2KMnO_4\rightarrow\left(t^o\right)K_2MnO_4+MnO_2+O_2\uparrow\\ n_{O_2}=\dfrac{0,4}{2}=0,2\left(mol\right)\\ V_{O_2\left(\text{đ}ktc\right)}=0,2.22,4=4,48\left(l\right)\\ b,n_{O_2}=\dfrac{13,44}{22,4}=0,6\left(mol\right)\\ 2KClO_3\rightarrow\left(t^o\right)2KCl+3O_2\uparrow\\ n_{KClO_3}=\dfrac{2}{3}.0,6=0,4\left(mol\right)\\ m_{KClO_3}=0,4.122,5=49\left(g\right)\)