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- A ceramic container used for melting metals (called a crucible) contains 1.30 kg of a molten metal. The liquid metal cools until it reaches its melting point of 1,749°C. A scientist then measures that 2.99 ✕ 104 J of heat is transferred out of the metal before it completely solidifies. What is the latent heat of fusion of this metal, in J/g? (Be careful with units!)arrow_forwardA person infected with the SARS-CoV-2 virus is running a fever with an internal body temperature of 103 °F (39.4 °C). This raises the person's skin temperature to 36.5 °C. The person is standing unclothed in a room with an ambient temperature of 21.0 °C. If the temperature of the person's skin is maintained at 36.5 °C solely by the energy obtained from the metabolic conversion of food, how many Calories would this person have to consume per hour? Assume heat is lost only by radiation, and the surface area and emissivity of the person's skin are 1.50 m2 and 0.800, respectively. 00200arrow_forward450g of water is heated in a pot from 22°C to 62°C. The water has a specific heat capacity of 4190 J/kg*K. What is the amount of thermal energy/heat transferred to the water to increase the temperature?arrow_forward
- A student is trying to find the energy it takes to melt an ice cube. They measure exactly 95.1 mL of water and pour it into a styrofoam cup. They use a thermometer to find the initial temperature is 23.8 °C, and then drop an ice cube in the water, covering it and stirring until it is completely melted. After it has melted, the water cools to a final temperature of 16.5 °C. How much energy (in calories) did it take to melt this ice cube? Note: The density of water is 1.0 g/mL and the specific heat of water is 1.0 cal/(g·°C)arrow_forwardA person infected with the SARS-CoV-2 virus is running a fever with an internal body temperature of 103 °F (39.4 °C). This raises the person's skin temperature to 36.5 °C. The person is standing unclothed in a room with an ambient temperature of 21.0 °C. If the temperature of the person's skin is maintained at 36.5 °C solely by the energy obtained from the metabolic conversion of food, how many Calories would this person have to consume per hour? Assume heat is lost only by radiation, and the surface area and emissivity of the person's skin are 1.50 m² and 0.800, respectively. Number Unitsarrow_forwardLuis and Salman are trying to increase the temperature of a substance by heating it. . What is the quantity of heat in kilojoules required to raise the temperature of 1.2 kg of the substance from3°C to 110 °C at a pressure of 1.0 atm? Please keep three significant figures. Useful information: Melting point = 293 K heat of fusion = 3.90 x 104 J/kg. boiling point is 423 K heat of vaporization 7.80 x 104 J/kg (at a pressure of 1.0 atm). The specific heats for the solid phase is 600 J/(kg K) The specific heats for the liquid phase is 1000 J/(kg K) The specific heats for the gaseous phase is 400 J/(kg K)arrow_forward
- A classroom has dimensions 8.00 m x 10.00 m x 3.00 m. A 1000 W electric space heater is being used to warm the room from 5.00°C to 20.00°C on a cold morning. If the density of air is 1.29 kg/m°, and the specific heat capacity of air is 1004 J/(kg-K), how long will it take to heat the room? Assume no loss of thermal energy to the surroundings. A) 1.30 minutes B) 241 minutes C) 45.3 minutes O D) 77.7 minutesarrow_forwardA baking dish is removed from a hot oven and placed on a cooling rack. As the dish cools down to 31.0°C from 189°C, its net radiant power decreases to 13.0 W. What was the net radiant power of the baking dish when it was first removed from the oven? Assume that the temperature in the kitchen remains at 24.0°C as the dish cools.arrow_forwardA slice of bread contains about 4.19 x 105 J of energy. If the specific heat of a person is 4.19 x 103 J/kgCo, how many degrees Celsius would the temperature of a 70 kg person increase if all the energy in the bread were converted to heat? Group of answer choices 1.33 1.43 C 3.66 1.53 2.55 Carrow_forward
- A room is initially at the outdoor temperature of 25°C. Now a large fan that consumes 200 W of electricity when running is turned on. The heat transfer rate between the room and the outdoor air is given as Q˙ = UA(Ti 2 To) where U = 6 W/m2·°C is the overall heat transfer coefficient, A = 30 m2 is the exposed surface area of the room, and Ti and To are the indoor and outdoor air temperatures, respectively. Determine the indoor air temperature when steady operating conditions are established.arrow_forwardWhen it rains, water vapor in the air condenses into liquid water, and energy is released. (a) How much energy is released when 0.0318 m (1.25 inch) of rain falls over an area of 2.59×106 m² (one square mile)? (b) If the average energy needed to heat one home for a year is 1.50x1011 J, how many homes could be heated for a year with the energy determined in part (a)? (a) Number (b) Number i i Units Units >arrow_forwardA 900 g copper rod at 20 degrees celcius has a length of 1.0000 m. The thermal expansion coefficient of copper is 17 x 10^-6 degrees celcius -1. The specific heat capacity is 0.385 kJ/kg degrees celcius. Question A: The copper is heated to 400 degrees celcius. What is the new length? Give the answer in meters and with 4 digits of precision after the decimal. Question B: The hot copper is then quenched by dunking the entire rod in a bucket with 10 kg of water at 20 degrees celcius. The specific heat capaciy of water is 4.18 kJ/kg degrees celcius. If none of the water turns to steam what is the equilibrium temp of the copper rod and water? Please give the answer in degrees celcius Question C: You measure the equilbrium temp and find that it is 24 degrees celcius. If the latent heat of vaporization of water is 2,260 kJ/kg, what mass of water turned to steam? Answer in gramsarrow_forward
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