Which of the following solutions has the greatest concentration?(1 point)

Responses

10 g of salt dissolved in 50 mL of water
10 g of salt dissolved in 50 milliliters of water

10 g of salt dissolved in 100 mL of water
10 g of salt dissolved in 100 milliliters of water

5 g of salt dissolved in 100 mL of water
5 g of salt dissolved in 100 milliliters of water

5 g of salt dissolved in 50 mL of water

1 answer

To determine which solution has the greatest concentration, we need to calculate the concentration of salt for each solution using the formula:

\[ \text{Concentration (g/mL)} = \frac{\text{mass of solute (g)}}{\text{volume of solution (mL)}} \]

Let's calculate the concentrations for each option:

  1. 10 g of salt dissolved in 50 mL of water: \[ \text{Concentration} = \frac{10 , \text{g}}{50 , \text{mL}} = 0.2 , \text{g/mL} \]

  2. 10 g of salt dissolved in 100 mL of water: \[ \text{Concentration} = \frac{10 , \text{g}}{100 , \text{mL}} = 0.1 , \text{g/mL} \]

  3. 5 g of salt dissolved in 100 mL of water: \[ \text{Concentration} = \frac{5 , \text{g}}{100 , \text{mL}} = 0.05 , \text{g/mL} \]

  4. 5 g of salt dissolved in 50 mL of water: \[ \text{Concentration} = \frac{5 , \text{g}}{50 , \text{mL}} = 0.1 , \text{g/mL} \]

Now we can compare the concentrations:

  • 10 g in 50 mL = 0.2 g/mL
  • 10 g in 100 mL = 0.1 g/mL
  • 5 g in 100 mL = 0.05 g/mL
  • 5 g in 50 mL = 0.1 g/mL

The greatest concentration is 0.2 g/mL, which is from 10 g of salt dissolved in 50 mL of water.