From Balanced chemical reaction,
M2CO3+2HCl→2MCl+H2O+CO2
Here from this, we get:
0.01molCO2≡0.01molM2CO3≡1gM2CO3
We know that,
Number of moles = MolarmassGivenmass
⇒Molar mass of M2CO3=NumberofMolesofM2CO3GivenmassofM2CO3=0.011=100g/mol