Classical Mechanics

Phase Transitions

Specific heat


Consider an aluminium cup with mass 140.0 g140.0 \text{ g} at 60C60 ^\circ\text{C} and water with a mass of 600.0 g600.0 \text{ g} contained in this cup at the same temperature. If the temperature of both the cup and water decreases to 57C,57 ^\circ\text{C}, approximately how much energy is removed from the cup-water system?

The specific heat of water and aluminuim are 4187 J/kgK4187 \text{ J/kg}\cdot\text{K} and 900 J/kgK,900 \text{ J/kg}\cdot\text{K}, respectively.

If we immerse a steel ball with mass 0.8 kg0.8 \text{ kg} initially at 800 K800 \text{ K} into a styrofoam box containing 35.0 kg35.0 \text{ kg} of water at 300 K,300 \text{ K}, what is the approximate final temperature of the water at equilibrium, assuming that water was not vaporized and the water-steel ball system is thermally isolated?

The specific heat of water and steel are 4187 J/kgK4187 \text{ J/kg}\cdot\text{K} and 448 J/kgK,448 \text{ J/kg}\cdot\text{K}, respectively.

Consider a steel H-beam with mass 130.0 kg130.0 \text{ kg} and length 10.0 m.10.0 \text{ m}. If it absorbs a thermal energy of 1.8×106J,1.8 \times 10^6 \text{J}, what is the approximate increase in the length of the H-beam, assuming that the specific heat of steel is c=448 J/kgKc=448 \text{ J/kg}\cdot\text{K} and the the coefficient of linear expansion for steel is α=11.0×106 K1?\alpha=11.0 \times 10^{-6} \text{ K}^{-1}?

If a certain metal with mass 0.40 kg0.40 \text{ kg} absorbs 3.0 kJ3.0 \text{ kJ} of energy by heat, the temperature of the metal rises by 17.0C.17.0 ^\circ\text{C}. What is the approximate specific heat of the metal?

Approximately how much heat must be absorbed by water of mass m=450.0 gm=450.0 \text{ g} at 0C0^\circ\text{C} to increase its temperature to 27C?27 ^\circ\text{C}?

The specific heat of water is 4187 J/kgK.4187 \text{ J/kg}\cdot\text{K}.


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