What is the mass, in kilograms, of 14.0 L of gasoline ? (assume the density of gasoline is 0.680 g/cm^3)

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sciencesolve's profile pic

sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted on

You should remember the equation that relates the mass, density and the volume of a substance such that:

`rho = m/V`

`rho`  represents the density

m represents the mass of gasoline

V represents the volume of gasoline

Since the problem provides the volume and the density of gasoline, you may find the mass such that:

`m = rho*V`

You should remember that 1 L of gasoline may be converted to 1 Kg of gasoline such that:

`m = 14*10^3*cm^3*0.680*10^(-3)Kg/(cm^3)`

`m = 9.52Kg`

Hence, evaluating the mass in Kilograms of 14L of gasoline, under the given conditions, yields `m = 9.52Kg` .

justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

The density of gasoline is 0.680 g/cm^3. As 1 l = 1000 cm^3, 14 l = 14000 cm^3

The mass of 14000 cm^3 is 14000*0.68 = 9520 g = 9.52 kg

14 l of gasoline has a mass of 9.52 kg

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