`a)`
\(\left\{{}\begin{matrix}n_{CaCO_3}=\dfrac{a}{100}\left(mol\right)\\n_{M_2CO_3}=\dfrac{b}{2M_M+60}\left(mol\right)\end{matrix}\right.\xrightarrow[]{\text{BTNT C}}\left\{{}\begin{matrix}n_{CO_2\left(A\right)}=\dfrac{a}{100}\left(mol\right)\\n_{CO_2\left(B\right)}=\dfrac{b}{2M_M+60}\left(mol\right)\end{matrix}\right.\)
Có:
- Lượng H2SO4 bằng nhau và dư
- Lúc sau cân lại trở về vị trí cân bằng
`=>` \(m_{CaCO_3}+m_{H_2SO_4}-m_{CO_2\left(A\right)}=m_{M_2CO_3}+m_{H_2SO_4}+m_{CO_2\left(B\right)}\)
`=>` \(a-44.\dfrac{a}{100}=b-44.\dfrac{b}{2M_M+60}\)
`<=>` \(M_M=\dfrac{33,6a-16b}{2b-1,12a}\left(g\text{/}mol\right)\)
`b)`
\(M_M=\dfrac{33,6.5-16.4,8}{2.4,8-1,12.5}=22,8\approx23\left(g\text{/}mol\right)\)
Vậy `M` là `Na`
