The density of gasoline is 730 kg/m3 at 00C. Its volume expansion coefficient is 0.000960C-1. If one gallon of gasoline occupies 0.0038 m3, how many extra kilograms of gasoline are obtained when 10 gallons of gasoline are bought at 00C rather than at 200C

volume expansion coefficient =.000960 C⁻¹

d₀ = d (1 +.000960 x t), d is density at t and d₀ is density at 0 degree Celsius.

if t = 200

d₀ = d (1 +.00096 x 200)

= d (1 +.00096 x 200)

= 1.192d

10 gallons of gasolene

= 10 x. 0038 m³ of gasolene

=.038 m³

difference of mass = volume x difference of density

=.038 x (d₀ - d)

.038 x (d₀ - d₀ / 1.192)

=.038 x (1 - 1 / 1.192) d₀

=.00612 x 730

= 4.468 kg.