\(2C_8H_{18}+25O_2\xrightarrow{t^o}16CO_2+18H_2O\\ a,n_{O_2}=\dfrac{500}{5.16}=6,25(mol)\\ \Rightarrow n_{C_8H_{18}}=\dfrac{2}{25}.6,25=0,5(mol)\\ \Rightarrow V_{C_8H_{18}}=0,5.22,4=11,2(l)\\ b,n_{C_8H_{18}}=\dfrac{240}{22,4}=\dfrac{75}{7}(mol)\\ \Rightarrow n_{O_2}=\dfrac{1875}{14}(mol)\\ \Rightarrow V_{O_2}=\dfrac{1875}{14}.22,4=3000(l)\)