Question

if 1 kg of water is mixed with 2 kg of liquid of density 3 gram per centimeter cube then the average density of the mixture will be

Answer 1

Answer:-$\frac{1.8g}{cm^3}$

Solution:- 1 kg of water is mixed with 2 kg of liquid with density 3 gram per centimeter cube or 3 kg per L. Density of pure water is 1 gram per mL or 1 kg per L.

(Since, 1 g per centimeter cube = 1 kg per L)

Let's calculate the volume of each from mass and density as:

$1kgWater(\frac{1L}{1kg})$

= 1 L water

Similarly, $2kgLiquid(\frac{1L}{3kg})$

= 0.67 L liquid

Total mass of the solution = 1 kg + 2kg = 3 kg

total volume of the solution = 1 L + 0.67 L = 1.67 L

Average density of the mixture = $\frac{3kg}{1.67L}$

= $\frac{1.8kg}{L}$

or $\frac{1.8g}{cm^3}$

So, the average density of the mixture is $\frac{1.8g}{cm^3}$ .