A student reacts a sample of calcium carbonate with excess hydrochloric acid to produce carbon dioxide gas. The gas is collected over water at a total barometric pressure of \(1.04 \text{ atm}\) and a temperature of \(27^\circ\text{C}\). The volume of gas collected in the tube is \(246 \text{ mL}\). At \(27^\circ\text{C}\), the vapor pressure of water is \(0.040 \text{ atm}\). Based on the data collected, how many moles of \(\text{CO}_2\text{(g)}\) were produced in the reaction?