Acontainer made of steel, which has a coefficient of linear expansion 11 ✕ 10−6 (°c)−1, has a volume of 55.0 gallons. the container is filled to the top with turpentine, which has a coefficient of volume expansion of 9.0 ✕ 10−4 (°c)−1, when the temperature is 10.0°c. if the temperature rises to 25.5°c, how much turpentine (in gal) will spill over the edge of the container?
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Ответ:
a. ΔV = 0.48895 gal
b. ΔV = 1.246 gal
Explanation:
V₀ = 55.0 gal
β₁ = 11 x 10 ⁻⁶ (° C) ⁻¹
β₂ = 9.0 x 10 ⁻⁴ (° C) ⁻¹
a.
ΔT = 10.0 ° C
ΔV = (β₁ - β₂) * V₀ * ΔT
ΔV = [ 9.0 x 10 ⁻⁴ (° C) ⁻¹ - 11 x 10 ⁻⁶ (° C) ⁻¹ ] * 55.0 gal * 10 ° C
ΔV = 0.48895 gal
b.
ΔT = 25.5 ° C
ΔV = (β₁ - β₂) * V₀ * ΔT
ΔV = [ 9.0 x 10 ⁻⁴ (° C) ⁻¹ - 11 x 10 ⁻⁶ (° C) ⁻¹ ] * 55.0 gal * 25.5 ° C
ΔV = 1.246 gal
Ответ:
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