# A liquid has a density of 1.5 g/cc. 50 cc of it is mixed with 30 cc of water . What is the density of mixture ?

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2015-06-06T12:13:59+05:30

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Density of liquid =  1.5 gm/cc
volume mixed = 50 cc
=> mass of liquid mixed = 1.5 * 50 = 75 gms

density of water = 1 gm/cc
volume mixed = 30 cc
=> water mixed = 3 0 * 1 = 30 gm

Total  volume of mixture =  75 + 30 = 105 gms

Density of mixture = 105 gm / 80 cc =  1.3125 gms/cc

BY FORMULA:

density of a mixture =  [ V1 * d1 + V2 * d2 ] / (V1 + V2)
= [ 50 * 1.5 + 30 * 1 ] / (50 + 30)
=105 gm/ 80 cc
= 1.3125 gm/cc

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2015-06-06T12:21:23+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Density of the liquid (da) = 1.5 g/cc
Density of water (dw) = 1 g/cc
Volume of the liquid (va) = 50 cc
Volume of water (vw) = 30 cc

Density = mass / volume
⇒ Mass = density × volume

So,
mass of the liquid (ma) = da × va
= 1.5 × 50
= 75 g
mass of water (mw) = dw × vw
= 1 × 30
= 30 g
Total mass = ma +mw
= 75 + 30
= 105 g
Total volume = va +vw
= 50 + 30
= 80 cc

Density of mixture = total mass / total volume
= 105 / 80
= 1.3125 gm/cc