A thirsty nurse cools a 2.40 LL bottle of a soft drink (mostly water) by pouring it into a large aluminum mug of mass 0.249 kg and adding 0.122 kg of ice initially at -15.9 ∘C∘C. If the soft drink and mug are initially at 21.0, what is the final temperature of the system, assuming no heat losses?

A 95.0-kg block of ice at 0.00°C breaks off from a glacier, slides along the frictionless ice to the ground from a height of 2.43 m, and then slides along a horizontal surface consisting of gravel and dirt. Find how much of the mass of the ice is melted by the friction with the rough surface, assuming 75.0% of the internal energy generated stays in the ice. Latent heat of fusion (Lf) for water 333,700 J/kg.

A thirsty nurse cools a 2.40 L bottle of a soft drink (mostly water) by pouring it into a large aluminum mug of mass 0.249 kg and adding 0.122 kg of ice initially at -14.3 ∘C. If the soft drink and mug are initially at 21.0 ∘C, what is the final temperature of the system, assuming no heat losses? Express your answer in degrees Celsius.

A 155 g copper bowl contains 230 g of water, both at 20.0°C. A very hot 300 g copper cylinder is dropped into the water, causing the water to boil, with 4.05 g being converted to steam. The final temperature of the system is 100°C. Neglect energy transfers with the environment. (a) How much energy (in calories) is transferred to the water as heat? 8.6 X kcal (b) How much energy (in calories) is transferred to the bowl? 55 X kcal (c) What is the original temperature of the cylinder? 553.6 X °C Did you use the idea of conservation of energy? That is, did you equate the sum of the energy transfers to zero? For the bowl and cylinder, did you substitute the expression relating an energy transfer, the specific heat, the mass, and the temperature change? For the water, did you use the same expression to get the water to the boiling point? Did you also include an expression for the heat of vaporization? Did you use the given final temperature for each of the three materials?

A pot on the stove contains 500 g of water at 20°C. An unknown mass of ice that is originally at −10°C is placed in an identical pot on the stove. Heat is then added to the two samples of water at precisely the same constant rate. Assume that this heat is transferred immediately to the ice or water (in other words, neglect the increase in temperature for the pot). We will also neglect evaporation. The ice melts and becomes water, and you observe that both samples of water reach 60.0°C at the same time. Solve for the mass of the ice that was originally in the second pot. The specific heat of liquid water is 4186 J/(kg °C), and of solid water is 2060 J/(kg °C). The latent heat of fusion of water is 3.35  105 J/kg.

A block of copper with a mass of 1.75 kg, initially at a temperature of 150.0°C, is in a well-insulated container. Water at a temperature of 26.0°C is added to the container, and the entire interior of the container is allowed to come to thermal equilibrium, where it reaches a final temperature of 66.0°C. What mass of water (in kg) was added? Assume any water turned to steam subsequently recondenses.  ?kg

A well-insulated aluminum calorimeter cup with mass of 231 g contains 271 g of liquid water at 25.1 °C. A 295-g silver figure of polar bear, with initial temperature of 96.5 °C, is dropped into the water. What is the final temperature of the water, cup, and bear when they reach thermal equilibrium? The specific heats of silver, aluminum, and liquid water are, respectively, 234 J/(kg · K), 910 J/(kg · K), and 4190 J/(kg · K). final temperature:

Estimate the temperature change you expect in this air. Let the volume of your room be 38 m3. Heat capacity of air is 1000 J/kg⋅∘C.

The "steam" above a freshly made cup of instant coffee is really water vapor droplets condensing after evaporating from the hot coffee. What is the final temperature of 205 g of hot coffee initially at 98.0°C if 3.18 g evaporates from it? The coffee is in a Styrofoam cup, and so other methods of heat transfer can be neglected. Assume that coffee has the same physical properties as water; its latent heat of vaporization is 539 kcal/kg and its specific heat is 1.00 kcal/(kg · °C).

A sample of tin with a mass of 1.80 kg, initially at a temperature of 150.0°C, is in a well-insulated container. Water at a temperature of 24.0°C is added to the container, and the entire interior of the container is allowed to come to thermal equilibrium, where it reaches a final temperature of 69.0°C. What mass of water (in kg) was added? Assume any water turned to steam subsequently recondenses. kg