1. Determine the weight of 10 gallons of water:
1 gallon of water weighs approximately 8.34 pounds (lb)
Therefore, 10 gallons of water weigh 10 * 8.34 = 83.4 lb
2. Calculate the total weight of the 50% NaOH solution:
Since the solution is 50% NaOH by weight, the total weight of the solution will be:
Total weight = Weight of water + Weight of NaOH
Total weight = 83.4 lb + Weight of NaOH
3. Calculate the weight of NaOH needed:
The 50% NaOH solution implies that for every 100 parts of the solution, 50 parts are NaOH. Therefore, to find the weight of NaOH, we can set up a proportion:
Weight of NaOH / Total weight = 50 / 100
Weight of NaOH = (50 / 100) * Total weight
4. Substitute the total weight into the equation:
Weight of NaOH = (50 / 100) * (83.4 lb + Weight of NaOH)
Weight of NaOH = 41.7 lb + (0.5 * Weight of NaOH)
5. Solve for the weight of NaOH:
To solve for the weight of NaOH, we can rearrange the equation:
0.5 * Weight of NaOH = 41.7 lb
Weight of NaOH = 41.7 lb / 0.5
Weight of NaOH ≈ 83.4 lb
Therefore, approximately 83.4 pounds (lb) of Sodium Hydroxide (NaOH) are required to make 10 gallons of a 50% solution.
