What volum od alcohol with a density of 8.4×10^2kgm-3 will have the same mass of 4.2m^3 of petrol whose density is 7.2×10^2kg/m&3.

1 answer

To find the volume of alcohol with the same mass as 4.2m^3 of petrol, we need to first calculate the mass of 4.2m^3 of petrol.

Given:
Density of petrol = 7.2x10^2 kg/m^3
Volume of petrol = 4.2m^3

Mass of petrol = Density x Volume
Mass of petrol = 7.2x10^2 kg/m^3 x 4.2m^3
Mass of petrol = 3024 kg

Now, we need to find the volume of alcohol that will have the same mass as 3024 kg of petrol.

Given:
Density of alcohol = 8.4x10^2 kg/m^3
Mass of alcohol = 3024 kg

Volume of alcohol = Mass / Density
Volume of alcohol = 3024 kg / 8.4x10^2 kg/m^3
Volume of alcohol = 3.6 m^3

Therefore, 3.6m^3 of alcohol will have the same mass as 4.2m^3 of petrol.