A car consumes 5 kg of gasoline per 100 kilometers. When the fuel tank holds 40 liters

| January 30, 2021 | education

A car consumes 5 kg of gasoline per 100 kilometers. When the fuel tank holds 40 liters of petrol, how far can this car go after a full refueling?

S1 = 100 km.

m1 = 5 kg.

V2 = 40 l = 0.04 m3.

ρ = 710 kg / m3.

S2 -?

Let us express the mass of gasoline m2, which is placed in a tank with a volume of V2, according to the formula: m2 = ρ * V2, where ρ is the density of gasoline. Let us take the density of gasoline from the table of density of substances ρ = 710 kg / m3.

m2 = 710 kg / m3 * 0.04 m3 = 28.4 kg.

Since m1 = 5 kg is consumed on S1 = 100 km, then 1 kg of gasoline is consumed on S1 / m1 = 100 km / 5 kg = 20 km.

Then the maximum path of S2 when filling a full tank will be: S2 = S1 * m2 / m1.

S2 = 100 km * 28.4 kg / 5 kg = 568 km.

Answer: after a full refueling, the car will cover the distance S2 = 568 km.



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