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The following scenarios apply to the process of calorimetry as a means to quantitatively measure heat transfer.
a. How many grams of ice at -17 oC must be added to 741 g of water that is initially at a temperature of 70 oC to produce water at a final temperature of 12 oC? Assume that no heat is lost to the surroundings and that the container has negligible mass. The specific heat of liquid water is 4,190 J/kg · oC and that of ice is 2,000 J/kg · oC. For water, the normal melting point is 0 oC, and the heat of fusion is 334 x 103 J/kg. The normal boiling point is 100 oC, and the heat of vaporization is 2.256 x 106 J/kg.
b. An unknown solid sample with a mass of 85.0 g at a temperature of 100.0 oC is placed in a calorimeter. The calorimeter vessel is made of 0.1500 kg of copper and contains 0.200 kg of water. Both the calorimeter vessel and the water are initially at 19.0 oC.
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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