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 3 degree C. ___________ 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. ______________ 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

initial volume= 3 liter= 3000 cm3.

initial temperature= 5 degrees

final temperrature=52 degrees

coefficient of volume expasion of Aluminum = = 3 = 3*24 x 10^-6 / oC=72x10-6 /o C.

change in volume of gasoline= V (Tf-Ti)= 3000(9.6x10-4)(52-5)= 135.36cm3.

change in volume of Aluminium= V (Tf-Ti)= 3000(72x10-6)(52-5)= 10.152cm3.

so gasoline that spills out= 135.36-10.152

= 125.208 cm3 .

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