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:
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10 g of salt dissolved in 50 mL of water: \[ \text{Concentration} = \frac{10 , \text{g}}{50 , \text{mL}} = 0.2 , \text{g/mL} \]
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10 g of salt dissolved in 100 mL of water: \[ \text{Concentration} = \frac{10 , \text{g}}{100 , \text{mL}} = 0.1 , \text{g/mL} \]
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5 g of salt dissolved in 100 mL of water: \[ \text{Concentration} = \frac{5 , \text{g}}{100 , \text{mL}} = 0.05 , \text{g/mL} \]
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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.