If it takes exactly 4 min. to completely melt a 2.0 kg block of ice at 0.0° C, how much power is needed? (For water Lf = 334 kJ/kg and Lv = 2257 kJ/kg.)

A 1040kg iron bar with a length of 2.00m and temperature of −45.25˚C is immersed in 50kg of liquid water at 90˚C. The specific heat of liquid water 4.186 kJ/(kg˚C), and the latent heat of fusion of water is 333kJ/kg. The specific heat of iron is 0.45kJ/(kg˚C) and its melting point is 1538˚C. The goal is to determine the final temperature of the system (iron+water) once it reaches thermal equilibrium, and also the state of each substance (solid, liquid, gas)   d) If you did (c) correctly, the iron will still be colder than 0˚C, so the system is not yet in thermal equilibrium. As the iron heat up more, the water, already at 0˚C, will cool down. How much mass of water becomes ice?  e) What is the final temperature of the system? f) Given the final temperature you have calculated for the system, what is the change in the length of the iron bar? (The coefficient of linear expansion of iron is 12x10–6 / ˚C ).

What is the ratio of the energy required to warm 125 g of Ice (0.0 \deg C) to body temperature (37 \deg C) to warming the same amount of water through the same temperature change? Answer format is the number Eice/Ewater = (2 significant figures) Latent Heat of Fusion of Water: 335, 000 J/kg Specific Heat Capacity of Water: 4186 J/kg/\deg C

A 160 g copper bowl contains 120 g of water, both at 25.0°C. A very hot 420 g copper cylinder is dropped into the water, causing the water to boil, with 5,00 g being converted to steam. The final temperature of the system is 100°C. Neglect energy transfers with the environment. (a) How much energy is transferred to the water as heat? (b) How much to the bowl? (c) What is the original temperature of the cylinder? The specific heat of water is 1 cal/g-K, and of copper is 0.0923 cal/g-K. The latent heat of vaporization of water is 539 Cal/kg.

A cat chasing a mouse slides off a deck. The cat lands 1.8 m from the deck. The deck was 2.2 m high. What was the cats initial velocity

In an insulated vessel, 239 g of ice at 0°C is added to 635 g of water at 15.0°C. (Assume the latent heat of fusion of the water is 3.33 x 10° J/kg and the specific heat is 4,186 J/kg · °C.) (a) What is the final temperature of the system? °C (b) How much ice remains when the system reaches equilibrium?

Rubbing your hands together warms them by converting work into thermal energy. If a woman rubs her hands back and forth for a total of 10 rubs, at a distance of 7.50 cm per rub, and with a frictional force of 50.0 N, what is the temperature increase in degrees Celsius? The mass of tissue warmed is only 0.100 kg, mostly in the palms and fingers.

Problem 2: 0.4 kg of ice at – 10°C are mixed with 0.2 kg of water at 50°C. The water and ice are mixed in a calorimeter so that no heat escapes the system. The specific heat of ice is c; = 2090 J/(kg.°C), the la- tent heat of fusion of water is Lf = 3.33× 10° J/kg, and the specific heat of water is cu = 4186 J/(kg-°C). (a) What is the final temperature of the system? (b) How many kg of ice remain in the end? (c) How many kg of water remain in the end?

An ice block of mass 1.2000000000000002 kg at an initial temperature of –11 ∘C is put into a copper pot of mass 2.5 kg containing 4.3 L of water at 21 ∘C. If you heat up the pot, what is the amount of energy (in J) you need to convert all the ice and the water into steam? (Assume that no energy is lost from the system.)   You may need some or all of the following constants: The specific heat of ice is 2200 J/kg ∘C, the specific heat of copper is 386 J/kg ∘C and the specific heat of water is 4186 J/kg ∘C. The latent heat of fusion of ice is 334000 J/kg and the heat of vaporization for water is 2256000 J/kg .