\(n_{O_2}=\dfrac{1,12}{22,4}=0,05\left(mol\right)\)
a. PTHH: \(4P+5O_2-t^o->2P_2O_5\left(1\right)\)
b. Theo PT (1) ta có: \(n_{P_2O_5}=\dfrac{0,05.2}{5}=0,02\left(mol\right)\)
\(\Rightarrow m_{P_2O_5}=0,02.142=2,84\left(g\right)\)
c. PTHH: \(2KMnO_4-t^o->K_2MnO_4+MnO_2+O_2\uparrow\left(2\right)\)
Ta có: \(n_{O_2}=0,05\left(mol\right)\)
Theo PT (2) ta có: \(n_{KMnO_4}=\dfrac{0,05.2}{1}=0,1\left(mol\right)\)
\(\Rightarrow m_{KMnO_4}=0,1.158=15,8\left(g\right)\)