The density of a solution is 1.23 g/mL. What volume of solution, in mL, do you need in order to provide 1.00 lb of solution?
Use only the conversion factors written into the problem or given below.
1 lb = 0.454 kg
mass = volume x density
volume = mass/density
You want a mass of 1 lb. 1 lb is 0.454 kg and that is 454 g so
volume = 454 g/1.23 g/mL = ? mL
To solve this problem, we need to convert the given weight unit (lb) to grams (g) in order to match the units of the density.
1 lb = 0.454 kg
Next, we can use the density equation:
density = mass/volume
Rearranging the equation to solve for volume:
volume = mass/density
First, we need to convert 1.00 lb to grams:
1.00 lb * 0.454 kg/lb * 1000 g/kg = 454 g
Now we can substitute the values into the equation:
volume = 454 g / 1.23 g/mL
To find the volume in mL, we divide the mass by the density:
volume = 369.92 mL
Therefore, you would need 369.92 mL of the solution to provide 1.00 lb of solution.