When the carbonate reacts with HCl, it produces CO
2, as shown in the following balanced equation:
M2CO3+2HCl→2MCl+H2O+CO2
From the problem, we know that 1 g of the carbonate produces 0.01 mol of CO
2.
To determine the molar mass of the carbonate, we can use the stoichiometry of the reaction:
1 mol of
M2CO3 produces 1 mol of CO2.
So, 0.01 mol of CO
2 corresponds to 0.01 mol of
M2CO3 .
Now, we can find the molar mass of
M2CO3 :
moles of M2CO3mass of M2CO3=molar mass of M2CO3
0.01 mol1 g=100 g mol−1
So, the molar mass of
M2CO3 is approximately 100 g/mol.