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The mass of an empty bucket of capacity 20 liters is 1.5kg. Find the mass of the bucket when completely filled with a liquid of relative density of 0.9.

Answer
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Hint: In the question, they've given us the mass of an empty bucket and its volume capacity. To find the mass of the bucket once it is filled with some liquid, we need to find the mass of the liquid when it occupies a volume of 20 liters. For this, we can use the given relative density and find it. Later, we can add the mass of an empty bucket and the liquid to have the mass of the filled bucket.

Formula used:
mass=density×volume
density=sp.gr×1000kg/m3

Complete answer:
The volume capacity of the bucket is given to be 20 liters. The liquid which is used to fill the bucket will have the same volume as 20 liters. Then the mass of the liquid will be given by
density=massvolumemass=density×volume
We have the volume of liquid to be 20 liters and the density of the liquid will be
density=sp.gr×1000kg/m3density=0.9×1000kg/m3density=900kg/m3
Substituting these quantities in the above formula, we will have
mass=density×volumemass=900kg/m3×20ltsmass=900kg/m3×20×103m3mass=18kg
Therefore, the mass of the liquid occupying 20 liters is 18kg.
The total mass of the filled bucket will be the sum of the mass of liquid and mass of an empty bucket, which is 18kg+1.5kg=19.5kg.
Thus, the mass of the bucket once it is filled with a liquid of specific gravity 0.9 is 19.5kg.

Note:
In the problem, we have converted the units of volume from liters to m3, their relation is given by 1lt=103m3. You must always pay attention to the units to avoid errors in calculation. The specific gravity, also called relative density is the ratio of the density of a substance to the density of water.
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