We have been getting numerous questions like this on assignments and I can't figure them out. Its like I know that there some way connected but I can't figure it out. This is for Chemistry in highschool and its likea review and so they are not going over it but I would still like to know how to do them for future reference. This is the question:
A solution containing 50.64 mL of liquid A and 36.22 mL of liquid B has a density of 1.0472 g mL-1. On adding a further 34.82 mL of liquid B to the mixture, the density drops to 0.9558 g mL-1. Assuming that the volumes are additive, calculate the density of liquid B in g mL-1.
Now I thought you would just find the mass of solution 1 and the mass of solution 2 using d=m/v and then subtract them to get the resulting mass and then use d=m/v with the volume that was added and get the answer but it clearly does not work. And I've tried like adding them together and random thingsand I'm just stuck. Thanks for your help.
You might try posting your work so we can see it. And do you have an answer from the book you are trying to get? If so post that, too. Check for typos in the post, also.
Based on the information given in the question, here's how you can approach solving it:
Step 1: Calculate the mass of the initial solution
To calculate the mass, we can use the formula: mass = density × volume
For the initial solution:
Mass of liquid A (mA) = density of liquid A × volume of liquid A
Mass of liquid B (mB) = density of liquid B × volume of liquid B
Step 2: Calculate the total mass of the initial solution
Total mass of the initial solution (m1) = mA + mB
Step 3: Calculate the mass of the final solution
To calculate the mass after adding liquid B:
Mass of liquid A (mA) = density of liquid A × volume of liquid A
Mass of liquid B (mB) = density of liquid B × volume of liquid B
(Note: The volume of liquid B has increased, so we need to use the new volume in this calculation)
Step 4: Calculate the total mass of the final solution
Total mass of the final solution (m2) = mA + mB
Step 5: Determine the mass of liquid B added
To find the mass of liquid B added, we subtract m1 from m2:
Mass of liquid B added = m2 - m1
Step 6: Calculate the density of liquid B
Finally, we can use the formula: density = mass/volume to find the density of liquid B.
Density of liquid B = mass of liquid B added / volume of liquid B added
By following these steps, you should be able to calculate the density of liquid B using the provided information.