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.