Question
Liquid A has a density of 0.7g/cm^3 Liquid B has a density of 1.6g/cm^3 140 g of liquid A and 128 g of liquid B are mixed to make liquid C. Work out the density of liquid C.
Answer
4
(232 Votes)
Isla
Advanced · Tutor for 1 years
Answer
Calculating the volumes from Step 1: -
for Liquid A and -
for Liquid B.For Step 2: Sum these volumes, 200 cm^{3} and 80 cm^{3} to make
this is the total volume for liquid C. Deducing the Density of the mixture Liquid C from Step 3: ### \(\frac{140g (for ~ A) + 128g (for ~ B)}{280 cm^{3}} = 0.96 ~ g/cm^{3} \) Thus, the density of liquid
is
.
Explanation
## Step 1:First, find the volume of each liquid. The volume of a liquid can be calculated by the formula 'mass [g] / density [g/cm³]'. ###
###
## Step 2:Calculate the total volume (for liquid C), which is equal to
. ## Step 3:The density of the mixed solution (liquid C) is found by taking the total mass which is \(Mass ~ of ~ liquid ~ A ~ (140g) + Mass ~ of ~ liquid ~ B ~ (128g)\) and dividing it by total the volume which is
, derived in the steps 1 and 2 respectively.### Defining the Density ~ formula: