At low temperatures, the heat capacity of certain materials (glasses) can be described by the formula: C₁=aT, where a is a constant. Two identical objects made from such a material are brought together. Their initial temperatures are T₁ = 1K and T₂ = 3K. Assume that the objects exchange heat with each other but not with the surroundings and that the process is performed at constant pressure. What is the final temperature of the objects after equilibrium is achieved?
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- A chunk of hot iron is pulled out of a fire and placed between aluminum vice grips. The mass of the iron is 219 g and the mass of the aluminum is 66.4 g. The iron is initially 351.8 °C. The aluminum is initially 24.7 °C. Assuming no loss of heat to the environment, what is the final temperature of the iron-aluminum system? I couldn't even get started on this one.The highest registered waterfalls in the world are those of Angel Falls, which is located in Venezuela. Its longest single waterfall has a height of 807 m. If the water at the top of the falls is 18.0 ° C, what is the maximum temperature (in degrees C) of the water at the bottom? Suppose that when all the kinetic energy of the water reaches the bottom, the temperature of the water increases.I am very hungry, so I need to cook myself some ramen on the stove. I fill up a pot with 2 kg of water and place the pot on my stove which has an average power output of 8.22 kW, raising the water's temperature from 31.5°C to its boiling point (roughly around 100.6°C). How long after placing the pot of water on the stove does it take for the pot of water start boiling in seconds? Hint: Water has a specific heat of 4.2 k J k g ∘ C, and this is an energy transformation problem. Start with finding Q.
- We often cut a watermelon in half and put it into the freezer to cool it quickly. But usually we forget to check on it and end up having a watermelon with a frozen layer on the top. To avoid this potential problem a person wants to set the timer such that it will go off when the temperature of the exposed surface of the watermelon drops to 3°C. Consider a 25-cm-diameter spherical watermelon that is cut into two equal parts and put into a freezer at -12°C. Initially, the entire watermelon is at a uniform temperature of 25°C, and the heat transfer coefficient on the surfaces is 22 W/m2·K. Assuming the watermelon to have the properties of water, determine how long it will take for the center of the exposed cut surfaces of the watermelon to drop to 3°C.One rod is made from lead and another from quartz. The rods are heated and experience the same change in temperature. The change in length of each rod is the same. If the initial length of the lead rod is 0.14 m, what is the initial length of the quartz rod?An unknown substance has a mass of 0.125 kg and an initial temperature of 90.0°C. The substance is then dropped into a calorimeter made of aluminum containing 0.285 kg of water initially at 21.5°C. The mass of the aluminum container is 0.150 kg, and the temperature of the calorimeter increases to a final equilibrium temperature of 32.0°C. Assuming no thermal energy is transferred to the environment, calculate the specific heat of the unknown substance.
- An aluminum calorimeter with a mass of 100 g contains 250 g of water. The calorimeter and water are in thermal equilibrium at 10.0°C. Two metallic blocks are placed into the water. One is a 50.0-g piece of copper at 80.0°C. The other block has a mass of 70.0 g and is originally at a temperature of 100°C. The entire system stabilizes at a final temperature of 20.0°C. Determine the specific heat of the unknown sample. Specific heat of aluminum and water are 0.215 cal/g °C, and 1.00 cal/g°C respectivelyWhich of the following statements correctly relates temperature and kinetic energy? A Substances whose molecules have low kinetic energy have high temperatures. Substances with high kinetic energy in their molecules have low temperatures. C The higher a substance's temperature, the greater the kinetic energy of its molecules. The lower a substance's temperature, the greater the kinetic energy of its molecules.You drop an ice cube into an insulated container full of water and wait for the ice cube to completely melt. The ice cube initially has a mass of 60.0 g and a temperature of 0°C. The water (before the ice cube is added) has a mass of 850 g and an initial temperature of 30.0°C. What is the final temperature (in °C) of the mixture? (Assume no energy is lost to the walls of the container, or to the environment.)
- In an electrically heated home, the temperature of the ground in contact with a concrete basement wall is 11.9 °C. The temperature at the inside surface of the wall is 19.0 °C. The wall is 0.13 m thick and has an area of 7.5 m². Assume that one kilowatt hour of electrical energy costs $0.10. How many hours are required for one dollar's worth of energy to be conducted through the wall? Number i UnitsAn aluminum calorimeter with a mass of 100 g contains 250 g of water. The calorimeter and water are in thermal equilibrium at 10.0°C. Two metallic blocks are placed into the water. One is a 50.0-g piece of copper at 80.0°C. The other has a mass of 70.0 g and is originally at a temperature of 100°C. The entire system stabilizes at a final temperature of 20.0°C. Determine the specific heat of the unknown sample and Using the data in Table of constants, identify of the unknown material?An unknown substance has a mass of 0.125 kg and an initial temperature of 94.5°C. The substance is then dropped into a calorimeter made of aluminum containing 0.285 kg of water initially at 25.5°C. The mass of the aluminum container is 0.150 kg, and the temperature of the calorimeter increases to a final equilibrium.temperature of 32.0°C. Assuming no thermal energy is transferred to the environment, calculate the specific heat of the unknown substance. J/kg - °C Need Help? Read It MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER SERCP11 11.4.P.033.MI.