A KNO3 solution is made using 88.4g of KNO3 and diluting to a total soultion volume of 1.50l. Calculate the molarity and mass percent of the solution. Assume a density of 1.05 g/mL for the solution.
Well, let's calculate the molarity of the KNO3 solution first. Molarity is defined as moles of solute per liter of solution.
To find the moles of KNO3, we need to divide the mass by its molar mass. The molar mass of KNO3 is approximately 101.1 g/mol (39 + 14 + 48).
So, moles of KNO3 = 88.4 g / 101.1 g/mol ≈ 0.8738 mol
Now, we divide the moles by the volume in liters to find the molarity:
Molarity = 0.8738 mol / 1.50 L ≈ 0.5823 M
So, the molarity of the KNO3 solution is approximately 0.5823 M.
As for the mass percent, it is the ratio of the mass of solute to the mass of the solution, multiplied by 100.
The mass of the solution can be calculated by multiplying the density by the volume:
Mass of solution = 1.05 g/mL x 1.50 L ≈ 1.575 g
The mass percent is then:
Mass percent = (mass of KNO3 / mass of solution) x 100
= (88.4 g / 1.575 g) x 100 ≈ 5600.63%
Well, that's quite a high percentage! But don't worry, it's not unusual for the mass percent to exceed 100% due to rounding errors. So, let's just say that the mass percent of the KNO3 solution is approximately 5600.63%.
To calculate the molarity (M) of the KNO3 solution, we need to determine the number of moles of KNO3 in the solution and then divide it by the volume of the solution in liters.
Step 1: Calculate the number of moles of KNO3:
The molar mass of KNO3 is:
K = 39.10 g/mol
N = 14.01 g/mol
O = 16.00 g/mol (3 oxygen atoms)
Adding up the molar masses:
Molar Mass of KNO3 = (39.10 g/mol) + (14.01 g/mol) + (16.00 g/mol x 3) = 101.10 g/mol
Number of moles of KNO3 = mass of KNO3 / molar mass of KNO3
Number of moles of KNO3 = 88.4 g / 101.10 g/mol = 0.8731 mol
Step 2: Calculate the volume of the solution in liters:
Given the density of the solution is 1.05 g/mL and the total solution volume is 1.50 L, we can calculate the mass of the solution.
Mass of the solution = density x volume
Mass of the solution = 1.05 g/mL x 1500 mL = 1575 g
Now, let's convert the mass of the solution into kilograms:
Mass of the solution = 1575 g / 1000 = 1.575 kg
Step 3: Calculate the molarity:
Molarity (M) = number of moles / volume of solution (in liters)
Molarity (M) = 0.8731 mol / 1.50 L = 0.582 M
Therefore, the molarity of the KNO3 solution is 0.582 M.
Next, we can calculate the mass percent of the KNO3 solution:
Mass percent = (mass of solute / mass of solution) x 100
The mass of solute (KNO3) is given as 88.4 g, and the mass of the solution is 1575 g.
Mass percent = (88.4 g / 1575 g) x 100 = 5.61%
Therefore, the mass percent of the KNO3 solution is 5.61%.
To calculate the molarity and mass percent of the KNO3 solution, we'll need to follow a few steps.
Step 1: Calculate the molarity (M) of the solution.
Molarity (M) is defined as the number of moles of solute per liter of solution. To calculate the molarity, we'll first need to determine the number of moles of KNO3 in the solution.
Given:
Mass of KNO3 = 88.4g
Total solution volume = 1.50 L
To calculate the moles of KNO3, we'll use the formula: Moles = Mass / Molar mass
Molar mass of KNO3 = (39.10 g/mol) + (14.01 g/mol) + (3 * 16.00 g/mol) = 101.10 g/mol
Moles of KNO3 = 88.4g / 101.10 g/mol = 0.873 mol
Now, we can calculate the molarity:
Molarity (M) = Moles / Volume
Molarity (M) = 0.873 mol / 1.50 L = 0.582 M
Therefore, the molarity of the KNO3 solution is 0.582 M.
Step 2: Calculate the mass percent of the solution.
Mass percent of a solute in a solution is the mass of the solute divided by the total mass of the solution, multiplied by 100%.
Given:
Mass of KNO3 = 88.4g
Total solution volume = 1.50 L
Density of the solution = 1.05 g/mL
First, we need to find the total mass of the solution. We can use the formula:
Total mass = Volume x Density
Total mass = 1.50 L x 1.05 g/mL = 1.575 g
To calculate the mass percent, we'll use the formula:
Mass percent = (Mass of solute / Total mass of solution) x 100%
Mass percent = (88.4g / 1.575g) x 100% = 56.1%
Therefore, the mass percent of the KNO3 solution is 56.1%.
88.4 g KNO3 = ? moles. moles = grams/molar mass = 88.4/molar mass KNO3 = about 0.88 moles. In a total volume fo 1.50 L, that will be 0.88/1.5 = ?M.
For mass percent, that is mass/100 g sample.
(88.4/mass soln)*100 = ?
Convert 1.50L volume to mass using density, ans substitute in the mass percent equation, solve for mass percent.