On a summer morning in July in Houston Texas,the temperature is 80 $\circ$ F.A painter fills a 5.0 gallon aluminum container to the brim with turpentine.At five o'clock p.m.,the temperature had risen to 101 $\circ$ F.Neglect the expansion of the container.How much fluid spilled out of the container? The volume expansion coefficient for this brand of turpentine is 9 *10^-4/ $\circ$ C. A)1.4 * 10^-4 m³ B)2.0 * 10^-4 m³ C)3.4 * 10^-4 m³ D)4.5 * 10^-4 m³

Question

Quizplus · Accepted Answer

The change in volume of the turpentine is given by:
ΔV = VαΔT
Where V is the initial volume, α is the volume expansion coefficient, and ΔT is the change in temperature. 
Substituting the given values, we get: 
ΔV = 5.0 gal x (9 x 10^-4 1/°C) x (101°F - 80°F) 
ΔV = 2.0 x 10^-3 gal 
Converting to cubic meters: 
ΔV = 2.0 x 10^-3 gal x (3.785 L/gal) x (10^-3 m^3/L) 
ΔV = 7.57 x 10^-6 m^3 
Therefore, the amount of fluid that spilled out of the container is 2.0 x 10^-3 gal or 7.57 x 10^-6 m^3. Thus, the best choice is B.

On a Summer Morning in July in Houston Texas,the Temperature ∘\circ∘

On a Summer Morning in July in Houston Texas,the Temperature $\circ$