Answer:
500 Kg/m³
Explanation:
From the question given above, the following data were obtained:
Mass of empty bottle = 20 g
Mass of bottle + petrol = 40 g
Mass of bottle + water = 60 g
Density of water = 1000 Kg/m³
Density of petrol =?
Next, we shall determine the mass of water. This can be obtained as follow:
Mass of empty bottle = 20 g
Mass of bottle + water = 60 g
Mass of water =?
Mass of water = (Mass of bottle + water) – (Mass of empty bottle)
Mass of water = 60 – 20
Mass of water = 40 g
Converting 40 g to Kg, we have:
1000 g = 1 Kg
Therefore,
40 g = 40 × 1 Kg / 1000 g
40 g = 0.04 Kg
Next, we shall determine the volume of the bottle by calculating the volume of water. This can be obtained as follow:
Mass of water = 0.04 Kg
Density of water = 1000 Kg/m³
Volume of water =?
Density = mass / volume
1000 = 0.04 / volume
Cross multiply
1000 × volume = 0.04
Divide both side by 1000
Volume of water = 0.04 / 1000
Volume of water = 4×10¯⁵ m³
Thus, the volume of the bottle is 4×10¯⁵ m³
Next, we shall determine the mass of the petrol. This can be obtained as follow:
Mass of empty bottle = 20 g
Mass of bottle + petrol = 40 g
Mass of petrol =?
Mass of petrol = (Mass of bottle + petrol ) – (Mass of empty bottle)
Mass of petrol = 40 – 20
Mass of petrol = 20 g
Converting 20 g to Kg, we have:
1000 g = 1 Kg
Therefore,
20 g = 20 × 1 Kg / 1000 g
20 g = 0.02 Kg
Finally, we shall determine the density of the petrol. This can be obtained as follow:
Mass of petrol = 0.02 Kg
Volume of petrol = 4×10¯⁵ m³
Density of petrol =?
Density = mass / volume
Density of petrol = 0.02 / 4×10¯⁵
Density of petrol = 500 Kg/m³
