A 2.30 m solution of urea (CO(NH2)2; FW= 60.0) in water has a density of 1.14 g/mL. Calculate the percent mass of urea in this solution
See below.
To calculate the percent mass of urea in the solution, you need to determine the mass of urea and the total mass of the solution.
First, let's calculate the mass of urea in the solution using the formula:
Mass of Urea = Volume of Solution x Density of Solution x Concentration of Urea
Given:
Volume of Solution = 2.30 m (meters)
Density of Solution = 1.14 g/mL
Concentration of Urea = 2.30 m (moles)
To convert the volume of the solution into milliliters, multiply it by 1000:
Volume of Solution (in mL) = 2.30 m x 1000 mL/m = 2300 mL
Now, calculate the mass of urea:
Mass of Urea = 2300 mL x 1.14 g/mL x 2.30 m
Next, we need to convert the moles of urea to grams. The molar mass of urea (CO(NH2)2) is given as 60.0 g/mole.
Mass of Urea (in grams) = 2300 mL x 1.14 g/mL x 2.30 m x (60.0 g/mole)
Finally, calculate the percent mass of urea in the solution:
Percent mass of Urea = (Mass of Urea / Total mass of the solution) x 100
Total mass of the solution can be found by:
Total mass of the solution = Mass of Urea + Mass of Water
The water mass can be found by:
Mass of Water = Volume of Solution x Density of Water
Assuming water has a density of 1.00 g/mL:
Mass of Water = 2300 mL x 1.00 g/mL
Now, calculate the total mass of the solution:
Total mass of the solution = Mass of Urea + Mass of Water
Finally, calculate the percent mass of urea in the solution:
Percent mass of Urea = (Mass of Urea / Total mass of the solution) x 100
By following these steps and plugging in the given values, you will be able to calculate the percent mass of urea in the given solution.