# The mass of the canister filled with gasoline is 21.5 kg. The weight of the canister filled

August 25, 2021 | education

| **The mass of the canister filled with gasoline is 21.5 kg. The weight of the canister filled with water is 29 kg. What is the weight of an empty canister?**

Data: m1 (mass of a can with gasoline) = 21.5 kg; m2 (mass of the water canister) = 29 kg.

Constants: ρ1 (gasoline density) = 710 kg / m3; ρ2 (water density) = 1000 kg / m3.

1) Mass of a can of gasoline: m + V * ρ1 = m1 and V = (m1 – m) / ρ1.

2) The mass of the canister with water: m + V * ρ2 = m2 and V = (m2 – m) / ρ2.

3) Mass of an empty canister: (m1 – m) / ρ1 = (m2 – m) / ρ2.

(m1 – m) * ρ2 = (m2 – m) * ρ1.

(21.5 – m) * 1000 = (29 – m) * 710.

21.5 – m = 20.59 – 0.71m.

0.29m = 0.91.

m = 0.91 / 0.29 ≈ 3.14 kg.

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