Mass of empty bucket of capacity 10 liter is 1 kg. find its mass when completely with a liquid of relative density 0.8
mass filled=1kg+10*.8*1kg
9 kg
To find the mass of the bucket when completely filled with a liquid of relative density 0.8, we can use the following formula:
Mass = Mass of the empty bucket + Mass of the liquid
1) First, let's calculate the volume of the liquid that fills the bucket:
The capacity of the bucket is given as 10 liters, which means it can hold 10 kg of water (since 1 liter of water has a mass of 1 kg). However, the liquid in this case has a relative density of 0.8, which means it is lighter than water.
2) Next, let's calculate the mass of the liquid:
Relative density is the ratio of the density of a substance to the density of water. Since the relative density of the liquid is 0.8, its density is 0.8 times the density of water. The density of water is 1 kg/L, so the density of the liquid is 0.8 kg/L.
Now, let's substitute the numbers into the formula:
Mass = Mass of the empty bucket + Mass of the liquid
= 1 kg + (1 kg/L * 10 L * 0.8)
Mass = 1 kg + (1 kg/L * 8 kg)
= 1 kg + 8 kg
= 9 kg
Therefore, the mass of the bucket when completely filled with the liquid of relative density 0.8 is 9 kg.