1.900 x 10° J of heat is added to a cylinder of aluminum (radius 5.000 cm, length 10.00 cm) at room temperature (let's call the temperature exactly 300 K). Is this amount of heat enough to completely melt the aluminum? Assume the specific heat quoted in the text applies to aluminum in any phase and also that the density is valid at 300 K. 1) Calculate the mass of the aluminum sample. 2) What would be the AT for this sample if it was raised to the the phase boundary between the solid and liquid states of matter? Ignore, for now, whether this amount of heat is actually enough to make that happen. 3) Look up the specific heat for this sample and report it in course standard units, which are : Hint: what are the standard units of energy, mass, and [m}{T] * temperature?

1.900 x 10° J of heat is added to a cylinder of aluminum (radius 5.000 cm, length 10.00 cm) at room temperature (let's call the temperature exactly 300 K). Is this amount of heat enough to completely melt the aluminum? Assume the specific heat quoted in the text applies to aluminum in any phase and also that the density is valid at 300 K. 1) Calculate the mass of the aluminum sample. 2) What would be the AT for this sample if it was raised to the the phase boundary between the solid and liquid states of matter? Ignore, for now, whether this amount of heat is actually enough to make that happen. 3) Look up the specific heat for this sample and report it in course standard units, which are : Hint: what are the standard units of energy, mass, and [m}{T] * temperature?

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter10: Thermal Physics

Section: Chapter Questions

Problem 21P: A hollow aluminum cylinder 20.0 cm deep has an internal capacity of 2.000 L at 20.0C. It is...

See similar textbooks

Similar questions

One process for decaffeinating coffee uses carbon dioxide ( M=44.0 g/mol) at a molar density of about 14,0 mol/m3 and a temperature of about 60 . (a) Is CO2 a solid, liquid, gas, or supercritical fluid under those conditions? (b) The van der Waals constants for carbon dioxide are a=0.3658 Pa m6/mol2 and b=4.286105 m3/mol. Using the van der Waals equation, estimate pressure of CO2 at that temperature and density. `
One of a dilute diatomic gas occupying a volume of 10.00 L expands against a constant pressure of 2.000 atm when it is slowly heated. If the temperature of the gas rises by 10.00 K and 400.0 J of heat are added in the process, what is its final volume?
A 100-g piece of copper, initially at 95.0C, is dropped into 200 g of water contained in a 280-g aluminum can; the water and can are initially at 15.0C. What is the final temperature of the system? (Specific heats of copper and aluminum are 0.092 and 0.215 cal/g C. respectively.) (a) 16C (b) 18C (c) 24C (d) 26C (e) none of those answers
(a) Estimate the specific heat capacity of sodium from the Law of Dulong and Petit. The molar mass of sodium is 23.0 g/mol. (b) What is the percent error of your estimate from the known value, 1230 J/kg ? `
A 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?
Super Invar, an alloy of iron and nickel, is a strong material with a very low coefficient of thermal expansion (0.20×× 10^-6 celcius). A 2.5 m -long tabletop made of this alloy is used for sensitive laser measurements where extremely high tolerances are required. A) How much will this alloy table expand along its length if the temperature increases 7.0 C∘? Express your answer to two significant figures and include the appropriate units. B) How much will a 2.5-m-long table made of steel expand along its length if the temperature increases 7.0 C∘? Express your answer to two significant figures and include the appropriate units.
Answer the following by filling the blank: During a bout with the flu, an 80-kg person ran a fever of 39 oC. Consider that the specific heat of any human body is 3470 J/kg K, how much energy does the body need to burn to reach the fever temperature? The answer (in fundamental SI unit) is ___________ (type the numeric value only, dont use scientific notation)
A 4.00-m-long cylinder of solid aluminum has a radius of 2.00 cm. 1)If the cylinder is initially at a temperature of 5.00∘C, how much will the length change when the temperature rises to 30.0°C? (Express your answer to three significant figures.) 2)Due to the temperature increase, by how much (in %) would the density of the aluminum cylinder decrease? (Express your answer to three significant figures.) 3)By what percentage does the volume of the cylinder increase? (Express your answer to three significant figures.)
Jill takes in 0.0140 mol of air in a single breath. The air is taken in at 20.0°C and exhaled at 35.0°C. Her respiration rate is (2.00x10^1) breaths per minute. At what average rate does heat leave her body due to the temperature increase of the air? Provide your answer to three significant figures. HINT: Use the molar specific heat at constant volume to find the heat loss, where Cv = 5R/2 (for an ideal diatomic gas).
How long does it take a 750-WW coffeepot to bring to a boil 0.85 LL of water initially at 18 ∘C∘C? Assume that the part of the pot which is heated with the water is made of 360 gg of aluminum, and that no water boils away. Ignore the heat loss to the surrounding environment. The value of specific heat for water is 4186 J/kg⋅C∘J/kg⋅C∘ and for aluminum is 900 J/kg⋅C∘J/kg⋅C∘. Express your answer using two significant figures. In seconds
Judging from its unit W/m·K, can we define thermal conductivity of a material as the rate of heat transfer through the material per unit thickness per unit temperature difference? Explain.
The Kilauea volcano in Hawaii is the world’s most active, disgorging about 5 X 105 m3 of 1200C lava per day. What is the rate of heat transfer out of Earth by convection if this lava has a density of 2700 kg/m3 and eventually cools to 30C? Assume that the specific heat of lava is the same as that of granite.