Calculate the mass of barium chloride you need to make a 0.200 m barium chloride solution with 100.0 g of water.
To calculate the mass of barium chloride needed to make a 0.200 m barium chloride solution, we first need to determine the number of moles of barium chloride required.
A 0.200 m solution means that there are 0.200 moles of barium chloride dissolved in one liter (1000 grams) of solution. However, in this case, we have 100.0 g of water.
To account for the mass of water, we need to convert the mass of water to the total mass of the solution. Since water has a density of 1 g/mL, the volume of water is equal to its mass. Therefore, we have 100.0 mL of water.
Now, we can calculate the total mass of the solution by summing the mass of water and barium chloride. The mass of the solution is:
Mass of solution = Mass of water + Mass of barium chloride
We know that the mass of the solution is 100.0 g, and we can assume the density of the barium chloride solution is the same as water, since the barium chloride is in solution. Therefore, the mass of water and the mass of the solution are equal.
100.0 g = Mass of water + Mass of barium chloride
Now, we can rearrange this equation to isolate the Mass of barium chloride:
Mass of barium chloride = 100.0 g - Mass of water
Next, we need to convert the 0.200 m concentration into moles:
0.200 moles/L = 0.200 moles / 1000 mL
To convert moles to grams, we need to know the molar mass of barium chloride. The molar mass of BaCl2 is:
(Molar mass of Ba) + 2 x (Molar mass of Cl) = 137.33 g/mol + 2 x 35.45 g/mol
Now, we can calculate the mass of barium chloride:
Mass of barium chloride = (0.200 moles / 1000 mL) x (100.0 mL) x (BaCl2 molar mass)
Plug in the values and calculate to find the mass of barium chloride needed.