Final answer:
The volume of iodine produced is approximately 0.62 L
Step-by-step explanation:
To find the volume of iodine produced, we need to use the ideal gas law equation:
PV = nRT
where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature.
First, we need to convert the mass of chlorine gas to moles:
55.31 g Cl₂ x (1 mol Cl₂ / 70.90 g Cl₂) = 0.779 mol Cl₂
Next, we can use the balanced chemical equation to determine the mole ratio between Cl₂ and I₂:
1 mol Cl₂ : 1 mol I₂
So, 0.779 mol Cl₂ will react to produce 0.779 mol I₂
Now, we can use the ideal gas law to find the volume of iodine:
V = (nRT) / P
V = (0.779 mol)(0.0821 L/mol·K)(298 K) / 1.02 atm = 0.615 L
Therefore, the volume of iodine produced is approximately 0.62 L.