giúp với ạ, hứa vote hay nhất, cảm ơn mọi người

\(aC_n^{}H_m^{}O_z^{}N_t^{}Na_k^{}+bMn_2^{}O_7^{}\dashrightarrow cMn_x^{}O_y^{}+dCO_2^{}+eH_2^{}O+fNa_2^{}CO_3^{}+gN_2^{}\)

`[C]:\ a.n=d+f`

`[H]:\ a.m=2e`

`[N]:\ a.t=2g`

`[Na]:\ a.k=2f`

`[Mn]:\ 2b=c.x`

`[O]:\ a.z+7b=y.c+2d+e+3f`

Cho `a=1`

`[C]:d+f=n(1)`

`[H]:2e=m->e=m/2`

`[N]:2g=t->g=t/2`

`[Na]:2f=k->f=k/2`

`(1)->d=n-k/2={2n-k}/{2}`

`[Mn]:\ 2b=c.x(2)`

`[O]:\ z+7b=y.c+(2n-k)+m/2+{3k}/2`

`->z+{7x.c}/2=y.c+{4n+k+m}/2`

`->2z+7x.c-2y.c=4n+k+m`

`->c={4n+k+m-2z}/{7x-2y}`

`(2)->b={c.x}/2={4nx+kx+mx-2xz}/{14x-4y}`

Vậy PTHH là:

\(C_n^{}H_m^{}O_z^{}N_t^{}Na_k^{}+\frac{4nx+kx+mx-2xz}{14x-4y}Mn_2^{}O_7^{}\to \frac{4n+k+m-2z}{7x-2y}Mn_x^{}O_y^{}+\frac{2n-k}{2}CO_2^{}+\frac{m}{2}H_2^{}O+\frac{k}{2}Na_2^{}CO_3^{}+\frac{t}{2}N_2^{}\)