Final answer:
To calculate the total volume of gas produced by the decomposition of ammonium carbonate, we can use the ideal gas law equation. By calculating the number of moles of each gas produced and substituting the values into the equation, we can find the volume of each gas and then add them up to get the total volume of gas produced.
Step-by-step explanation:
According to the balanced chemical equation, the decomposition of ammonium carbonate produces 2 moles of ammonia gas (NH3), 1 mole of carbon dioxide gas (CO2), and 1 mole of water vapor (H2O). To calculate the total volume of gas produced, we need to use the ideal gas law equation:
V = nRT/P
Where V is the volume, n is the number of moles, R is the ideal gas constant, T is the temperature, and P is the pressure.
Given that we have 11.9 g of ammonium carbonate, we can first calculate the number of moles by dividing the mass by the molar mass of the compound. Then, we can multiply this by the stoichiometric coefficients to find the number of moles of each gas produced. Finally, we can substitute the values into the ideal gas law equation to calculate the volume of gas:
V(NH3) = (2 mol)(0.08206 L·atm/mol·K)(24.0°C + 273.15 K)/(1.05 atm)
V(CO2) = (1 mol)(0.08206 L·atm/mol·K)(24.0°C + 273.15 K)/(1.05 atm)
V(H2O) = (1 mol)(0.08206 L·atm/mol·K)(24.0°C + 273.15 K)/(1.05 atm)
Adding up the volumes of each gas will give us the total volume of gas produced.