What volume of alcohol will have same mass as 4.2m-3 of petrol?

Density of alcohol = 8.4 x 102kgm-3, density of petrol =7.2x103kgm-3

Answer Details

We can use the formula:
mass = density × volume
to solve this problem. We need to find the volume of alcohol that has the same mass as 4.2 m³ of petrol.
First, let's calculate the mass of 4.2 m³ of petrol:
mass of petrol = density of petrol × volume of petrol
= (7.2 × 10³ kg/m³) × (4.2 m³)
= 30,240 kg
Next, let's find the volume of alcohol that has the same mass as the petrol:
mass of alcohol = mass of petrol
density of alcohol × volume of alcohol = density of petrol × volume of petrol
volume of alcohol = (density of petrol / density of alcohol) × volume of petrol
= (7.2 × 10³ kg/m³) / (8.4 × 10² kg/m³) × (4.2 m³)
= 3.6 m³
Therefore, the volume of alcohol that has the same mass as 4.2 m³ of petrol is 3.6 m³, which is option C.