Answer:
To determine the volume of carbon dioxide produced, we need to use the ideal gas law equation:
PV = nRT
Where:
P = pressure (at room temperature and pressure, it is approximately 1 atm)
V = volume of gas
n = number of moles of gas
R = ideal gas constant (0.0821 L·atm/(mol·K))
T = temperature in Kelvin (room temperature is approximately 298 K)
From the balanced chemical equation, we can see that 1 mole of sodium carbonate (Na2CO3) produces 1 mole of carbon dioxide (CO2).
Given:
Number of moles of sodium carbonate (Na2CO3) = 0.0800 mol
Number of moles of hydrochloric acid (HCl) = 0.100 mol
Since the stoichiometric ratio between sodium carbonate and carbon dioxide is 1:1, the number of moles of carbon dioxide produced is also 0.0800 mol.
Now, we can calculate the volume of carbon dioxide using the ideal gas law equation:
PV = nRT
V = (nRT) / P
V = (0.0800 mol * 0.0821 L·atm/(mol·K) * 298 K) / 1 atm
V ≈ 1.93 L
Therefore, approximately 1.93 liters of carbon dioxide are produced, measured at room temperature and pressure.
