Which is more concentrated, 5g sugar/500ml water or 3g salt /75ml of water. Show your work

To determine which solution is more concentrated, we need to calculate their respective concentrations. Concentration is commonly measured in terms of grams per milliliter (g/mL) or grams per liter (g/L).

1. Let's start by calculating the concentration of the sugar solution:
Concentration of sugar solution = mass of sugar (g) / volume of water (mL)
Concentration = 5g / 500mL = 0.01g/mL

2. Now, let's calculate the concentration of the salt solution:
Concentration of salt solution = mass of salt (g) / volume of water (mL)
Concentration = 3g / 75mL = 0.04g/mL

Comparing the two concentrations, we find that the concentration of the salt solution (0.04g/mL) is higher than the concentration of the sugar solution (0.01g/mL). Therefore, the salt solution is more concentrated.