calculate the mass of sodium sulphate required to prepare its 20%(mass percent) solution in 100 g of water
To calculate the mass of sodium sulfate required to prepare a 20% (mass percent) solution in 100 g of water, you need to know the formula weight of sodium sulfate.
1. Determine the mass of water: 100 g
2. Calculate the mass of sodium sulfate required using the mass percent formula:
Mass of sodium sulfate = (Mass percent / 100) * Mass of solution
Mass of sodium sulfate = (20 / 100) * (100 g + Mass of sodium sulfate)
3. Simplify the equation:
Mass of sodium sulfate = 0.2 * (100 g + Mass of sodium sulfate)
4. Expand:
Mass of sodium sulfate = 20 g + 0.2(Mass of sodium sulfate)
5. Simplify further:
Mass of sodium sulfate = 20 g + 0.2 Mass of sodium sulfate
Mass of sodium sulfate - 0.2 Mass of sodium sulfate = 20 g
0.8 Mass of sodium sulfate = 20 g
6. Divide both sides of the equation by 0.8:
Mass of sodium sulfate = 20 g / 0.8
Mass of sodium sulfate = 25 g
Therefore, 25 grams of sodium sulfate are required to prepare a 20% (mass percent) solution in 100 grams of water.
To calculate the mass of sodium sulfate required to prepare a 20% (mass percent) solution in 100 g of water, you need to consider the definition of mass percent.
Mass percent is a way to express the concentration of a solute in a solution, which is defined as the mass of the solute divided by the mass of the solution (solute + solvent) and then multiplied by 100.
In this case, the mass percent of the sodium sulfate solution is given as 20%, which means that 20 g of sodium sulfate is present within 100 g of the solution (sodium sulfate + water).
To find the mass of sodium sulfate required, you can set up the following equation:
(20 g Sodium Sulfate) / (100 g Solution) = (x g Sodium Sulfate) / (100 g Water)
Cross-multiplying the equation, you get:
20 g Sodium Sulfate = (x g Sodium Sulfate) * 100 g Water
Dividing both sides of the equation by 100 g Water, you get:
20 g Sodium Sulfate / 100 g Water = x g Sodium Sulfate
Simplifying this equation, you have:
0.2 = x / 100
To isolate x, multiply both sides of the equation by 100:
0.2 * 100 = x
x = 20 g
Therefore, to prepare a 20% (mass percent) solution of sodium sulfate in 100 g of water, you will need 20 g of sodium sulfate.