25g of potassium chloride were dissolved in 60g of water at 50°Celsius calculate the solubility of the solute in mol•dmcube
To calculate the solubility of the solute, we need to convert the given quantities into moles:
1. Calculate the number of moles of potassium chloride (KCl):
- The molar mass of KCl is: 39.10 g/mol + 35.45 g/mol = 74.55 g/mol
- Number of moles of KCl = Mass of KCl / Molar mass of KCl
- Number of moles of KCl = 25 g / 74.55 g/mol = 0.335 mol
2. Calculate the volume of the solution:
- The density of water at 50°C is approximately 0.988 g/mL.
- Volume of water = Mass of water / Density of water
- Volume of water = 60 g / 0.988 g/mL = 60.73 mL
- Convert mL to dm³: Volume of water = 60.73 mL / 1000 = 0.06073 dm³
3. Calculate the solubility:
- Solubility = Number of moles of solute / Volume of solution
- Solubility = 0.335 mol / 0.06073 dm³ = 5.51 mol/dm³
Therefore, the solubility of potassium chloride in the given solution is 5.51 mol/dm³.
To calculate the solubility of the solute (potassium chloride) in moles per cubic decimeter (mol/dm³), we need to know the molar mass of potassium chloride and the volume of the solvent (water).
Step 1: Find the molar mass of potassium chloride (KCl)
The molar mass of potassium (K) is approximately 39.10 grams/mol, and the molar mass of chlorine (Cl) is approximately 35.45 grams/mol. To calculate the molar mass of potassium chloride (KCl), add the molar mass of potassium to the molar mass of chlorine:
Molar mass of KCl = 39.10 g/mol + 35.45 g/mol = 74.55 g/mol
Step 2: Convert the mass of potassium chloride to moles
Given that 25g of potassium chloride were dissolved, divide the mass by the molar mass to obtain the number of moles:
Number of moles = Mass / Molar mass
Number of moles = 25g / 74.55 g/mol
Step 3: Calculate the volume in dm³
Given that 60g of water were used as the solvent, assume that the density of water is 1 g/cm³. Convert the mass of water to volume using the density formula:
Volume = Mass / Density
Volume = 60g / 1 g/cm³ = 60 cm³
To convert cm³ to dm³, divide the volume by 1000:
Volume = 60 cm³ / 1000 = 0.06 dm³
Step 4: Calculate the solubility
Finally, divide the number of moles by the volume of the solvent to obtain the solubility:
Solubility = Number of moles / Volume
Solubility = (25g / 74.55 g/mol) / 0.06 dm³
Perform this calculation to find the solubility of the solute in mol/dm³.
how many moles of KCl is 25g?
Since 1 dm^3 = 1000cm^3 of H2O,
just multiply that by 1000/60