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Dissolving 16 g of a substance X in 100 mL of water forms a saturated solution at 25 °C.The following solutions of substance X in water were prepared at 25 °C:Solution P - 9 g of X in 75 mL waterSolution Q - 4 g of X in 20 mL waterSolution R - 11 g of X in 50 mL waterSolution S - 7 g of X in 60 mL waterWhich of the following is true about the concentrations of the  solutions P, Q, R and S? 1.Concentration of solution S is higher than that of solution Q. 2.Concentration of solution R is lower than that of solution P. 3.Concentration of solution Q is equal to that of solution R. 4.Concentration of solution P is the highest.

Question

Dissolving 16 g of a substance X in 100 mL of water forms a saturated solution at 25 °C.The following solutions of substance X in water were prepared at 25 °C:Solution P - 9 g of X in 75 mL waterSolution Q - 4 g of X in 20 mL waterSolution R - 11 g of X in 50 mL waterSolution S - 7 g of X in 60 mL waterWhich of the following is true about the concentrations of the  solutions P, Q, R and S? 1.Concentration of solution S is higher than that of solution Q. 2.Concentration of solution R is lower than that of solution P. 3.Concentration of solution Q is equal to that of solution R. 4.Concentration of solution P is the highest.

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Solution

To answer this question, we first need to calculate the concentration of each solution. The concentration of a solution is calculated by dividing the mass of the solute (in this case, substance X) by the volume of the solvent (in this case, water). The concentration is usually expressed in grams per milliliter (g/mL).

  1. Solution P: The concentration is 9 g / 75 mL = 0.12 g/mL.
  2. Solution Q: The concentration is 4 g / 20 mL = 0.20 g/mL.
  3. Solution R: The concentration is 11 g / 50 mL = 0.22 g/mL.
  4. Solution S: The concentration is 7 g / 60 mL = 0.117 g/mL.

Now, we can compare the concentrations:

  1. The concentration of solution S (0.117 g/mL) is not higher than that of solution Q (0.20 g/mL). So, the first statement is false.
  2. The concentration of solution R (0.22 g/mL) is not lower than that of solution P (0.12 g/mL). So, the second statement is false.
  3. The concentration of solution Q (0.20 g/mL) is not equal to that of solution R (0.22 g/mL). So, the third statement is false.
  4. The concentration of solution P (0.12 g/mL) is not the highest. The highest concentration is that of solution R (0.22 g/mL). So, the fourth statement is false.

Therefore, none of the statements are true.

This problem has been solved

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