You need to dissolve CaCl2 in water to make a mixture that is 31.5% calcium chloride by mass. If the total mass of the mixture is 254.6 g, what masses of CaCl2 and water should be used?
0.315*254.6g= Mass of CaCl2
254.6g-Mass of CaCl2=Mass of H2O
To find the masses of CaCl2 and water needed, we need to start by setting up an equation based on the given information.
Let's assume the mass of CaCl2 used is x grams. Since the percent composition of CaCl2 in the mixture is 31.5%, we can say that the mass of CaCl2 in the mixture is 0.315x.
The mass of water in the mixture can be found by subtracting the mass of CaCl2 from the total mass of the mixture: (254.6 g) - x g.
Now we can set up the equation:
0.315x + (254.6 g - x g) = 254.6 g
Simplifying the equation:
0.315x + 254.6 g - x g = 254.6 g
0.315x - x = 0
Combining like terms:
-0.685x = 0
Dividing both sides by -0.685:
x = 0 / -0.685
x = 0
The solution, x = 0, means that no CaCl2 is needed to make a mixture with a mass of 254.6 g and a calcium chloride composition of 31.5%. This would imply that the 31.5% calcium chloride composition cannot be achieved with the given materials and conditions.