Question
Liquid A has a density of 1.42g/cm^3 7cm^3 of liquid A is mixed with 125cm^3 of liquid B to make liquid C. Liquid C has a density of 1.05g/cm^3 Find the density of liquid B. Give your answer correct to 2 decimal places.
Answer
4.7
(265 Votes)
Phoebe
Veteran · Tutor for 12 years
Answer
The density of liquid B is
, correct to 2 decimal places.
Explanation
## Step1: First, we want to find the total mass and volume of mixture liquid C. ## Step2: Since we know its density is
and density equals to mass divided by volume, from the total volume (
of liquid A added to
of liquid B), we calculate that the total mass of liquid C would be mass
.## Step3: Now, we can find the mass of liquid A because we know its density (
) and its volume (
). It would be same as calculating the mass of liquid A from: mass
.## Step4: Therefore to find the mass of liquid B, subtract the mass of liquid A from the total mass of liquid C.## Step5: Indeed, once we have the mass of liquid B, we can find the density of liquid B by dividing its mass by its volume.### Step1 formula:
### Step2 formula:
### Step3 formula:
### Step4 formula:
### Step5 formula:
# Calculation Part:## Step1 calculation:No calculation required at this point. ## Step2 calculation:Total volume of liquid C = volume of liquid A + volume of liquid B =
Total mass of liquid C =
## Step3 calculation:Mass of liquid A =
## Step4 calculation:Mass of liquid B =
## Step5 calculation:Density of liquid B =