To prepare 1.000 kg of 5.5 percent by mass KCl (aq), one may dissolve
a. 994.5 g KCl in 5.5 g of water
b. 5.5 g KCl in 994.5 g of water
c. 5.5 g KCl in 1000.0 g of water
d. 55 g KCl in 945 g of water
e. 55.0 g KCl in 1000.0 g of water
5.5% by mass means
5.5 g KCl + 94.5 g H2O = 100 g solution.
Just multiply by 10 to obtain
55 g KCl + 945 g H2O = 1,000 g solution.
thanks
To prepare a solution of 1.000 kg of 5.5 percent by mass KCl (aq), we need to determine the mass of KCl and the mass of water needed.
The solution's mass is 1.000 kg, which is equal to 1000.0 g.
The percentage by mass of KCl is 5.5%. This means that 5.5% of the solution's mass should be KCl.
To calculate the mass of KCl, we multiply the total mass of the solution (1000.0 g) by the percentage by mass of KCl (5.5%):
Mass of KCl = (5.5/100) * 1000.0 g = 55.0 g
Thus, the correct option is e. 55.0 g KCl in 1000.0 g of water.
To determine the correct answer, we need to start by understanding what "5.5 percent by mass KCl (aq)" means. This term tells us that the solution contains 5.5 grams of KCl per 100 grams of solution.
To solve the problem, we can use the formula:
% mass = (mass of solute / mass of solution) x 100
Let's apply this formula to the given options:
a. 994.5 g KCl in 5.5 g of water:
The total mass is 994.5 g + 5.5 g = 1000 g. Calculating the percent mass, we have (994.5 g / 1000 g) x 100 ≈ 99.45 percent.
This option does not match the desired 5.5 percent mass.
b. 5.5 g KCl in 994.5 g of water:
The total mass is 5.5 g + 994.5 g = 1000 g. Calculating the percent mass, we have (5.5 g / 1000 g) x 100 = 0.55 percent.
This option does not match the desired 5.5 percent mass.
c. 5.5 g KCl in 1000.0 g of water:
The total mass is 5.5 g + 1000.0 g = 1005.5 g. Calculating the percent mass, we have (5.5 g / 1005.5 g) x 100 ≈ 0.546 percent.
This option does not match the desired 5.5 percent mass.
d. 55 g KCl in 945 g of water:
The total mass is 55 g + 945 g = 1000 g. Calculating the percent mass, we have (55 g / 1000 g) x 100 = 5.5 percent.
This option matches the desired 5.5 percent mass.
e. 55.0 g KCl in 1000.0 g of water:
The total mass is 55.0 g + 1000.0 g = 1055 g. Calculating the percent mass, we have (55.0 g / 1055 g) x 100 ≈ 5.21 percent.
This option does not match the desired 5.5 percent mass.
Therefore, the correct answer is option d. 55 g KCl in 945 g of water.