Use the worked example above to help you solve this problem. Estimate the fracti

Question

Use the worked example above to help you solve this problem. Estimate the fractional change in the volume of Earth's oceans due to an average temperature change of 2 degree C. 1 66 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. Use the fact that the average depth of the ocean is 4.00 times 10^3 m to estimate the change in depth. Note that beta_water = 2.07 times 10^-4 (degree C)^-1. 2.48 Your response differs from the correct answer by more than 100%. m A 3.00-liter aluminum cylinder at 5.00 degree C is filled to the brim with gasoline at the same temperature. If the aluminum and gasoline are warmed to 52.0 degree C, how much gasoline spills out? _________ cm^3

Explanation / Answer

a.)

water = 2.07 x 10^-4(°C)^-1

So that, the volume change is given by:

V = VoT, => V/Vo = T

V/V = 2.07 x 10^-4 * (2) = 4.14 x10^-4

b.)
d/do = T

d= 4 x 10^3 x 2.07x10^-4 (2) = 1.656 m

change in depth = 1.656 m

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