The density of a certain oil on frying becomes 0.4 kg with a volume of 20 m. What will be its initial volume when its initial density is 0.8 kgm assuming no loss of oil due to spillage?
To find the initial volume of the oil, we can use the formula for density:
Density = Mass / Volume
Rearranging the formula, we can solve for volume:
Volume = Mass / Density
In this case, we are given the final density (0.4 kg/m^3) and final volume (20 m^3). We can use these values to find the initial volume.
First, let's put the given values into the formula:
20 m^3 = Mass / 0.4 kg/m^3
To find the mass, we can use the initial density:
Mass = Density * Volume
Mass = 0.8 kg/m^3 * Volume
Now we can substitute this back into our first equation:
20 m^3 = (0.8 kg/m^3 * Volume) / 0.4 kg/m^3
Simplifying, we can cancel out the kg/m^3 units:
20 m^3 = 2 * Volume
Next, solve for volume:
Volume = 20 m^3 / 2
Volume = 10 m^3
Therefore, the initial volume when the initial density is 0.8 kg/m^3 is 10 m^3.