Final answer:
To make a 2% salt solution with 150 grams of NaCl, one would need to add enough water to the salt to make the total mass of the solution 7500 grams, which requires adding 7350 grams of water.
Step-by-step explanation:
To determine how much of a 2% salt solution one can make with a given amount of salt, we need to consider the mass percentage of the salt in the solution. A 2% solution means that there are 2 grams of salt for every 100 grams of solution (which includes both the salt and the water).
If you have 150 grams of NaCl (salt), which will be used to create this solution, you take the total mass of the solution to be 100% and the mass of the salt to be 2%. Thus, to find the total mass of solution (salt + water) that will contain 150g of NaCl at 2%, you set up the proportion 150g / Xg = 2% / 100%, where X is the total mass of the solution. Solving for X gives you 7500 grams of solution.
To achieve this total mass, you would take the 150 grams of NaCl and add enough water to reach 7500 grams total. Thus, you would add 7500g - 150g = 7350 grams of water to the 150 grams of NaCl.