A solid mixture of calcium carbonate and sodium hydrogencarbonate has a mass of 10.00 g…

A solid mixture of calcium carbonate and sodium hydrogencarbonate has a mass of $10.00\ \text{g}$. It is heated strongly, at about $1200\ \text{K}$, until the mass stops changing. The solid left is calcium oxide and sodium carbonate, and the mass lost is $4.115\ \text{g}$. The reactions are $\text{CaCO}_{3} \to \text{CaO} + \text{CO}_{2}$ and $2\text{NaHCO}_{3} \to \text{Na}_{2}\text{CO}_{3} + \text{CO}_{2} + \text{H}_{2}\text{O}$. Use $44.01$, $18.015$, $100.09$ and $84.007\ \text{g/mol}$ for CO$_2$, H$_2$O, CaCO$_3$ and NaHCO$_3$. Find the mass of calcium carbonate in the mixture, the mass of carbon dioxide given off and its volume at $273\ \text{K}$ and $1\ \text{atm}$, with $22.4\ \text{L/mol}$.