Determine the mass % (m/m) of a NaCl solution if 58.5 grams of NaCl was dissolved in 50 ml of water (assume the density of water to be 1.0 g/ml).
To determine the mass % (m/m) of a NaCl solution, you need to find the mass of NaCl in the solution and divide it by the total mass of the solution. Here's how you can calculate it step by step:
Step 1: Calculate the mass of the NaCl in grams.
Given that 58.5 grams of NaCl was dissolved, the mass of the NaCl is 58.5 grams.
Step 2: Calculate the mass of the solution in grams.
To find the mass of the solution, you need to consider the mass of the water. The density of water is given as 1.0 g/ml. The volume of water is given as 50 ml. Using the formula: mass = volume × density, you can calculate the mass of the water.
mass of water = 50 ml × 1.0 g/ml
mass of water = 50 grams
The mass of the solution is the sum of the mass of NaCl and the mass of water:
mass of solution = mass of NaCl + mass of water
mass of solution = 58.5 grams + 50 grams
mass of solution = 108.5 grams
Step 3: Calculate the mass % (m/m) of NaCl in the solution.
The mass % (m/m) is calculated using the formula:
mass % (m/m) = (mass of NaCl / mass of solution) × 100
mass % (m/m) = (58.5 grams / 108.5 grams) × 100
mass % (m/m) ≈ 53.86%
Therefore, the mass % (m/m) of NaCl in the solution is approximately 53.86%.