The first step we have to follow is to convert the given mass of sodium hydrogen carbonate to moles using its molecular mass (MM=84kg/kmol):
[tex]1.00kgNaHCO_3\cdot\frac{1kmolNaHCO_3}{84kgNaHCO_3}=0.012kmolNaHCO_3[/tex]Now, use the stoichiometric ratio given by the equation to find how many moles are needed to produce 0.012kmoles of NaHCO₃:
[tex]0.012kgNaHCO_3\cdot\frac{1kmolNa_2CO_3}{2kmolNaHCO_3}=0.006kmolNa_2CO_3[/tex]Now, convert the estimated amount of Na2CO3 to mass using its molecular mass (MM=106kg/kmol):
[tex]0.006kmolNa_2CO_3\cdot\frac{106gNa_2CO_3}{kmolNa_2CO_3}=0.636kgNa_2CO_3[/tex]Convert the mass in kg to g:
[tex]0.636kgNa_2CO_3\cdot\frac{1000gNa_2CO_3}{1kgNa_2CO_3}=636gNa_2CO_3[/tex]It means that the answer is 636g of soda ash are needed to produce 1.00 kg of sodium hydrogen carbonate.
