An empty 60 litre petrol tank has a mass of 10kg. Its mass when full of fuel of relative density 0.72 is
7.2kg
33.2kg
43.2kg
53.2kg
Explanation
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The mass of the fuel will be the sum of mass of tank wen empty and the mass of fuel. The ans is 53.2kg which is D
We can use the formula:
mass = density x volume
to calculate the mass of the full tank.
The density of the fuel can be calculated as:
density of fuel = relative density x density of water
where the density of water is 1000 kg/m^3.
So, density of fuel = 0.72 x 1000 kg/m^3 = 720 kg/m^3
The volume of the tank is 60 liters, which is equivalent to 0.06 cubic meters.
The mass of the fuel can be calculated as:
mass of fuel = density of fuel x volume of fuel
We know that the tank is initially empty and has a mass of 10 kg. So, the mass of the fuel and the tank when full will be:
mass = mass of tank + mass of fuel
mass = 10 kg + density of fuel x volume of tank
mass = 10 kg + 720 kg/m^3 x 0.06 m^3
mass = 10 kg + 43.2 kg
mass = 53.2 kg
Therefore, the mass of the tank when full of fuel is 53.2 kg.
So the correct option is (D).
new mass = mass of bottle + mass of fluid = 10kg + 43.2kg = 53.2kg
the correct answer is D
