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- Carrie is trying to figure out the number of calories in a cube of cheese. To do this, she pours 166.2 mL of water into an aluminum can suspended from a ring stand. She takes the temperature of the water, and finds it to be 19.1 degrees Celsius. Then, she places the 5.23 gram cube of cheese under the can and lights it on fire! While the cheese is burning and for a few minutes after it is done, Carrie records the temperature of the water, finding that it levels out at 45.4 degrees Celsius. How many calories of heat were gained by the water? Please answer to the nearest 0.1 calorie.The specific capacity of water is 4200JKg-1°C-1, and the specific heat capacity of alcohol 2400JKg-1°C-1. Equal masses of water and alcohol in identical containers are each supplied with the same quantity of heat . The temperature of the water rises by 24°C. What is the temperature rise of the alcohol?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!)
- Muffins are taken out of the oven with a temperature of 200°F and are placed on a cooling rack with a room temperature of 70°F. After 15 minutes, the muffins have cooled to 170°F. If it is recommended to wait 30 minutes before eating, what temperature would the muffins be? Round the value of k to the nearest fourth decimal place.Heat is added to 1 kg of water such that the temperature increases by 5 K. The specific heat capacity of water is 4, 180 J/(kg.K). The specific heat capacity of iron is 450 J/(kg.K). If the same amount of heat is added to 5 kg of iron, how much will the temperature increase? O 7.28 K O 12.28 K O 10.28 K O 9.28 KA gasoline tank in a car has a capacity of 60 L at 20°C. If the tank is fully filled without a cover, how much gasoline will overflow if the car is left in the sun and the gasoline reaches a temperature of 45°C? The specific heat of gasoline is 9.5x10-4 °C. O 1.4L O 1.5 L O 2L O 2.5 L
- A gasoline tank in a car has a capacity of 60 L at 20ºC. If the tank is fully filled without a cover, how much gasoline will overflow if the car is left in the sun and the gasoline reaches a temperature of 45°C? The specific heat of gasoline is 9.5x10-4 °C. O 1.5 L O 1. 4 L O 2 L O 2.5 LA student drops two metallic objects into a 120 g tin container holding 150 g of water at 77,0°F. One object is a 200 g cube of copper that is initially at 358 K, and the other is a chunk of aluminum that is initially at 41,0°F. The water reaches a final temperature of 31,5°C. What is the mass of the aluminum chunk?The human body is not perfectly efficient. In fact, only about 20% of the Calories we consume are used for mechanical work (i.e., moving the body around). Estimate how many granola bars (150 Cal per bar) an 85 kg person will burn if they climb vertically up the side of the Empire State Building. height of Empire State Building, h = 443 m unit conversion: 1 Cal = 4184 Joules
- We turn on a heater that delivers 150 watts (150 J/s) to 1.7 kg of water in a lab experiment. After 39 seconds, how much will the water temperature have increased? Give your answer in degrees Celsius. Hint: The specific heat of water is 4186 J/kg °C.Researchers are conducting a study to quantity the thermal conductivity of a composite material. A square box is made from 1,841 cm2 sheets of the composite insulating material that is 2 cm thick. A 138 W heater is placed inside the box. Sensors attached to the box show that the interior and exterior surfaces of one face have reached the constant temperatures of 89°C and 36°C. What is the thermal conductivity in W/m-K?A person consumes about 2600 Cal a day. 1 Cal = 4186 J, and 1 kWh = 860 Cal. What is this energy in kilowatt-hours? Express your answer using two significant figures.