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Brewed coffee is often too hot to drink right away. You can cool it with an ice cube, but this dilutes it. Or you can buy a device that will cool your coffee without dilution—a 200 g aluminum cylinder that you take from your freezer and place in a mug of hot coffee. If the cylinder is cooled to –20°C, a typical freezer temperature, and then dropped into a large cup of coffee (essentially water, with a mass of 500 g) at 85°C, what is the final temperature of the coffee?
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College Physics: A Strategic Approach (3rd Edition)
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Life in the Universe (4th Edition)
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- A rubber balloon is filled with 1 L of air at 1 atm and 300 K and is then put into a cryogenic refrigerator at 100 K. The rubber remains flexible as it cools. (i) What happens to the volume of the balloon? (a) It decreases to 13L. (b) It decreases to 1/3L. (c) It is constant. (d) It increases to 3L. (e) It increases to 3 L. (ii) What happens to the pressure of the air in the balloon? (a) It decreases to 13atm. (b) It decreases to 1/3atm. (c) It is constant. (d) It increases to 3atm. (e) It increases to 3 atm.arrow_forwardA certain ideal gas has a molar specific heat of Cv = 72R. A 2.00-mol sample of the gas always starts at pressure 1.00 105 Pa and temperature 300 K. For each of the following processes, determine (a) the final pressure, (b) the final volume, (c) the final temperature, (d) the change in internal energy of the gas, (e) the energy added to the gas by heat, and (f) the work done on the gas. (i) The gas is heated at constant pressure to 400 K. (ii) The gas is heated at constant volume to 400 K. (iii) The gas is compressed at constant temperature to 1.20 105 Pa. (iv) The gas is compressed adiabatically to 1.20 105 Pa.arrow_forwardIf a gas is compressed isothermally, which of the following statements is true? (a) Energy is transferred into the gas by heat. (b) No work is done on the gas. (c) The temperature of the gas increases. (d) The internal energy of the gas remains constant. (e) None of those statements is true.arrow_forward
- Why is the following situation impossible? An ideal gas undergoes a process with the following parameters: Q = 10.0 J, W = 12.0 J, and T = 2.00C.arrow_forwardA hollow aluminum cylinder 20.0 cm deep has an internal capacity of 2.000 L at 20.0C. It is completely filled with turpentine at 20.0C. The turpentine and the aluminum cylinder are then slowly warmed together to 80.0C. (a) How much turpentine overflows? (b) What is the volume of the turpentine remaining in the cylinder at 80.0C? (c) If the combination with this amount of turpentine is then cooled back to 20.0C, how far below the cylinders rim does the turpentines surface recede?arrow_forwardOne mole of an ideal gas is contained in a cylinder with a movable piston. The initial pressure, volume, and temperature are Pi, Vi, and Ti, respectively. Find the work done on the gas in the following processes. In operational terms, describe how to carry out each process and show each process on a PV diagram. (a) an isobaric compression in which the final volume is one-half the initial volume (b) an isothermal compression in which the final pressure is four times the initial pressure (c) an isovolumetric process in which the final pressure is three times the initial pressurearrow_forward
- A sealed cubical container 20.0 cm on a side contains a gas with three times Avogadros number of neon atoms at a temperature of 20.0C. (a) Find the internal energy of the gas. (b) Find the total translational kinetic energy of the gas. (c) Calculate the average kinetic energy per atom, (d) Use Equation 10.13 to calculate the gas pressure. (e) Calculate the gas pressure using the ideal gas law (Eq. 10.8).arrow_forwardWhich one of the following statements is true? (a) The path on a PV diagram always goes from the smaller volume to the larger volume. (b) The path on a PV diagram always goes from the smaller pressure to the larger pressure. (c) The area under the path on a PV diagram is always equal to the work done on a gas. (d) The area under the path on a PV diagram is always equal in magnitude to the work done on a gas.arrow_forwardIn an insulated container, you combine hot metal with ice. The ice starts at -20 degree C. The copper starts at 900 degree C. When 15 kg of the copper is combined with an unknown amount of ice, the system reaches equilibrium as soon as all of the ice has boiled to become steam. What is the final temperature of the copper?arrow_forward
- 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.arrow_forwardYou wish to buy a new freezer for your basement. The primary use of the freezer will be to prepare ice for family parties. You have a very large family, with grandparents, parents, sisters, brothers, uncles, aunts, cousins, nephews, nieces, and grandchildren. As a result, family birthday parties are held every couple of weeks, and you need lots of ice for drinks. You want the freezer to convert 10.5 kg of water at 23.5°C to 10.5 kg of ice at -8.6°C in 2.00 h. But, in order to keep your electric bill down, you want the power rating of the freezer to stay below 100 W. From these requirements, you determine the minimum COP of the freezer that will satisfy your needs. (Consider that the specific heat of water is 4,186 J/(kg. °C), the specific heat of ice is 2,090 J/(kg. °C), the latent heat of fusion of water is 3.33 x 105 J/kg, and the latent heat of vaporization of water is 2.26 x 106 J/kg.) COP = Need Help? Read Itarrow_forwardA lead bullet is fired into a wall and is embedded. A myth claims that a bullet can be completely melted due to friction. A friend of yours doubts that this is possible. Using your physics knowledge you set out to test the validity of the myth. The first assumption that you make is that ALL kinetic energy of the bullet is converted into heat due to friction and the second assumption is that it was a pleasant day with an ambient temperature of 25.0°C. Determine the minimum speed of the lead bullet that will be required to achieve the outcome of the myth. Is this myth of the melting lead bullet plausible if you consider that the average bullet can reach speeds of 700 m/s? The latent heat of fusion for lead is 2.32 x 104 J/kg, the specific heat of lead is 128 J/(kg.°C) and the melting point of lead is 327°C.arrow_forward
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