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A solution contains 50g of solute and its concentration is 20%. calculate the amount solvent or water to be added to make the solution 10%?
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A solution contains 50g of solute and its concentration is 20%. calcul...
Calculating the amount of solvent to be added:
1. **Given data**:
- Initial amount of solute (solute 1) = 50g
- Initial concentration of solution = 20%
- Final concentration of solution = 10%
2. **Calculating initial volume of solution**:
- Initial volume of solution = Amount of solute / Concentration of solution
- Initial volume = 50g / 0.20 = 250g
3. **Calculating initial volume of solvent**:
- Initial volume of solvent = Initial volume of solution - Initial amount of solute
- Initial volume of solvent = 250g - 50g = 200g
4. **Calculating final volume of solution**:
- Let x be the amount of solvent to be added
- Final volume of solution = Initial volume of solution + x
- Final volume = 250g + x
5. **Calculating final volume of solute**:
- Final volume of solute remains the same (50g)
6. **Calculating final volume of solvent**:
- Final volume of solvent = Final volume of solution - Final volume of solute
- Final volume of solvent = 250g + x - 50g
7. **Calculating final concentration of solution**:
- Final concentration = (Final volume of solute / Final volume of solution) * 100
- 10% = (50g / (250g + x)) * 100
8. **Solving the equation**:
- 10 = (50 / (250 + x)) * 100
- 10 = 5000 / (250 + x)
- 2500 + 250x = 5000
- 250x = 2500
- x = 10g
Therefore, 10g of solvent or water needs to be added to make the solution 10% concentration.
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A solution contains 50g of solute and its concentration is 20%. calculate the amount solvent or water to be added to make the solution 10%?
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