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Q1. Show that the derivative of the chemical potential with respect to temperature at constant pressure and particle count is the entropy of the system per particle.

Q2. A steel beam is suspended completely under water by a cable that is attached to one end of the beam, so it hangs perpendicularly. Another identical beam is also suspended completely under water, but by a cable that is attached to the center of the beam so it hangs horizontally. Which beam, if either, experiences the greater buoyant force? Ignore any change in water density with depth.

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