\(\text{Ta có }n_M=\dfrac{10,8}{M_M}\left(mol\right);n_{N_2O}=\dfrac{3,36}{22,4}=0,15\left(mol\right)\\ PTHH:8M+30HNO_3\rightarrow8M\left(NO_3\right)_3+3N_2O+15H_2O\\ \Rightarrow n_M=\dfrac{8}{3}n_{N_2O}=0,4\left(mol\right)\\ \Rightarrow\dfrac{10,8}{M_M}=0,4\\ \Rightarrow M_M=27\)
Vậy M là nhôm (Al)