\(m_{hh}=10kg=10000g\)
\(\Rightarrow\left\{{}\begin{matrix}m_{C_4H_{10}}=80\%.10000=8000\left(g\right)\\m_{CH_4}=18\%.10000=1800\left(g\right)\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}n_{C_4H_{10}}=\dfrac{8000}{58}=\dfrac{4000}{29}\left(mol\right)\\n_{CH_4}=\dfrac{1800}{16}=112,5\left(mol\right)\end{matrix}\right.\)
PTHH:
\(2C_4H_{10}+13O_2-t^o->8CO_2+10H_2O\)
\(\dfrac{4000}{29}\).........\(\dfrac{4000}{29}\)
\(CH_4+2O_2-t^o->2H_2O+CO_2\uparrow\)
112,5.....225
=> \(\Sigma V_{O_2}=\left(\dfrac{4000}{29}+225\right).22,4=8129,65\left(l\right)\)