How Many Barrels Would You Expect To Unload

Hello dear friends,

Here's a question submitted to this blog from one of our readers.

A cargo of oil has a coefficient of expansion of .0005 per degree F. If this cargo is loaded at 70?F, and a cargo temperature of 90?F is expected at the discharge port, how many barrels would you expect to unload if you loaded 10,000 barrels? answer: 10100 can you please show me the solution? thanks in advance.

Given:

           70 °F - Cargo temperature when loaded
           90 °F - Cargo temperature expected at discharge port
    0.0005 °F - Coefficient of expansion
10, 000 bbls - Total barrels of oil loaded

Find:

Number of barrels expected to unload

Analysis:

Our cargo is loaded at 70°F but to be discharged at the temperature of 90°F. This means there's an increase of temperature of our oil cargo. Therefore there must be an increase of volume due the increase in temperature. So it is to be expected that the number of barrels that will be discharged is more than 10,000 bbl.

Solution:

(90°F - 70°F) x 0.0005 x 10,000 = 100 bbls
                                                + 10,000 bbls
                                                    10, 100 is the total barrels of oil to be unloaded.

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