The container shown in the figure is filled with oil of density 800 kg/m^3. It i

Question

The container shown in the figure is filled with oil of density 800 kg/m^3. It is open to the atmosphere on the left. What is the gauge pressure at point B? The drawing shows two thin pillars, one (grey) made from brass (alpha=19 times 10^-6 degree C^-1) and the other (black) made from steel (alpha=12 times 10^-6 degree C^-1). Each pillar has the same initial length, the same initial temperature and they are arranged as legs under a tabletop as shown. The cross-sectional area of the pillars is 3.4 times 10^-4 m^2. The initial geometry is shown below. The temperatures of the pillars are increased, both by the same amount. Which of the following diagrams shows the correct final orientation of the tabletop?

Explanation / Answer

This problem probably requires"Absolute Pressure" at Point B
instead of "Gauge Pressure". Both are given below. However,
try "Absolute Pressure" first.

What is the pressure at point B?
    P = (oil)*g*y =
            = (800 kg/m^3)*(9.81)*(100.0e-2)
            = 7848 Pa
            =   7.848 kPa (gaugepressure)
            = 105.739 kPa (absolute) (<--- try absolute pressurefirst)
                  (absolute pressure = gauge pressure + atmosphericpressure =
                                  = gauge pressure + 101.325 kPa)

THE ANSWER IS LA OPTION C

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