At 15degree Celsius the solubility of NaCl is 42g and 100g of solvent.calculate the mass of NaCl in 10g of a saturated solution at the same temperature
42 x (10/100) = ?
To calculate the mass of NaCl in a saturated solution at the same temperature, we can use the concept of solubility.
The solubility of NaCl at 15 degrees Celsius is 42 grams per 100 grams of solvent. This means that in 100 grams of solvent, we can dissolve 42 grams of NaCl.
To find the mass of NaCl in a 10-gram saturated solution, we can set up a proportion:
(42 grams NaCl / 100 grams solvent) = (x grams NaCl / 10 grams solvent)
To solve for x, we can cross multiply:
100x = (42 grams NaCl) * (10 grams solvent)
Simplifying the right side of the equation:
100x = 420 grams NaCl
Now, we can solve for x by dividing both sides of the equation by 100:
x = 420 grams NaCl / 100
x = 4.2 grams NaCl
Therefore, the mass of NaCl in a 10-gram saturated solution at 15 degrees Celsius is 4.2 grams.
To calculate the mass of NaCl in 10g of a saturated solution at 15 degrees Celsius, we need to determine the concentration of NaCl in the solution.
The solubility of NaCl is given as 42g in 100g of solvent. So, the concentration of NaCl in the saturated solution is calculated as follows:
Concentration (g/mL) = Solubility (g) / Volume of Solvent (mL)
Since the solubility is given in grams and the volume of the solvent is given in grams, the concentration will be in g/mL.
Concentration = 42g / 100g = 0.42 g/mL
Now, we can calculate the mass of NaCl in 10g of the saturated solution:
Mass of NaCl = Concentration * Volume of Solution
The volume of the solution can be calculated using the formula:
Volume of Solution = Mass of Solution / Density of Solution
As the density is not given in the problem, we cannot calculate the exact volume of the solution. However, we can assume that the density of the solution is nearly equal to the density of the solvent, which is close to 1 g/mL.
So, let's assume the density of the solution is 1 g/mL:
Volume of Solution = 10g / 1g/mL = 10 mL
Now, we can calculate the mass of NaCl in 10g of the saturated solution:
Mass of NaCl = Concentration * Volume of Solution
= 0.42 g/mL * 10 mL
= 4.2 g
Therefore, the mass of NaCl in 10g of a saturated solution at 15 degrees Celsius is approximately 4.2 grams.