Final answer:
To calculate the amount of sodium hypochlorite (NaClO) produced in the reaction, we need to determine the limiting reactant. We convert the given masses of NaOH and Cl₂ into moles, use the balanced equation to determine the mole ratio, and find that the limiting reactant is Cl₂. Finally, we convert the moles of NaClO to grams.
Step-by-step explanation:
To calculate the amount of sodium hypochlorite (NaClO) produced in the reaction of sodium hydroxide (NaOH) with chlorine gas (Cl₂), we need to determine the limiting reactant. The limiting reactant is the reactant that is completely consumed in the reaction and determines the maximum amount of product that can be formed. To do this, we first need to convert the given masses of NaOH and Cl₂ into moles.
The molar mass of NaOH is 40 g/mol, so 54.2 g of NaOH is equal to 54.2/40 = 1.355 mol of NaOH.
The molar mass of Cl₂ is 70.90 g/mol, so 48.9 g of Cl₂ is equal to 48.9/70.90 = 0.689 mol of Cl₂.
Now, we can use the balanced equation to determine the mole ratio between NaOH and NaClO. From the equation, we can see that 2 moles of NaOH react with 1 mole of Cl₂ to produce 1 mole of NaClO.
Since the mole ratio is 2:1, the limiting reactant is Cl₂ because we have less moles of Cl₂ compared to NaOH. Therefore, all of the 0.689 mol of Cl₂ will react and form 0.689 mol of NaClO.
Finally, we can convert the moles of NaClO to grams using its molar mass. The molar mass of NaClO is 74.44 g/mol, so 0.689 mol of NaClO is equal to 0.689 × 74.44 = 51.20 g of NaClO.