Question

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

Answer 1

Mass of water= 1kg = 1000g,

density of water =1g/cm3

So volume of water = 1000cm3

Mass of 2nd liquid=2kg= 2000g

Density of second liquid=2g/cm3

So volume=2000/3 cm3

Total Mass = 1000+2000=3000g

and total volume= 1000 + 2000/3 = 5000/3 cm3

So avg density = Mass / volume = 3000/5000/3 = 1.8gm/cm3

Answer 2

The average density of mixture is 0.0015 kg/m³

Explanation:

The average density is given by the formula:

Average density = (Total mass)/(Total volume)

Mass of water = 1 kg

Mass of another liquid = 2 kg

⇒ Total mass = Mass of one liquid + Mass of another liquid

∴ Total mass = 1 kg + 2 kg = 3 kg

Density of water = 1000 kg/m³

Volume of water = (Density of water)/(Mass of water)

∴ Volume of water = 1000/2 = 500 kg

Now,

Density of another liquid = 3 g/cm³ = 3000 kg/m³

Volume of another liquid = (Density of the liquid)/(Mass of liquid)

∴ Volume of another liquid = 3000/2 = 1500 kg

Total volume = Volume of water + Volume of another liquid

∴ Total volume = 500 + 1500 = 2000 kg

Now,

∴ Average density = 3/2000 = 0.0015 kg/m³