Gọi số mol của 440 g chất béo là b (mol)
\(\left(RCOO\right)_3C_3H_5+3NaOH->3RCOONa+C_3H_5\left(OH\right)_3\\ b=\dfrac{60}{40\cdot3}=0,5mol\\ M_{cb}=\dfrac{440}{0,5}=880\left(g\cdot mol^{-1}\right)\\ C_{cb}=\dfrac{28,5}{0,5}=57\\ CB:C_{57}H_{100}O_6,hay:C_nH_{2n-4-2k}O_6\left(k:số.lk.\pi.C=C.hoặc.C\equiv C\right)\\ 2.57-4-2k=100\\ k=5\\ n_{H_2}=kb=2,5mol\\ m_{H_2}=2,5.2=5g\)
Đồng đẳng hóa:
\(\left\{{}\begin{matrix}\left(HCOO\right)_3C_3H_5:a\\CH_2:b\\H_2:-c\end{matrix}\right.\)
Ta có: \(\left\{{}\begin{matrix}m=176a+14b-2c=440\\n_{NaOH}=3a=\dfrac{60}{40}=1,5\\\dfrac{n_{cbeo}}{n_{CO_2}}=\dfrac{0,5}{28,5}=\dfrac{a}{6a+b}\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,5\\b=25,5\\c=2,5\end{matrix}\right.\)
Vậy \(m_{H_2}=2,5.2=5\left(g\right)\)