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.)

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.)

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter19: Temperature, Thermal Expansion And Gas Laws

Section: Chapter Questions

Problem 22PQ

See similar textbooks

Related questions

Q: 2.80 mol of an ideal gas fills a spherical balloon with volume 2 065 cm3 and a temperature 296 K.…

Q: A 15.0 L tank contains oxygen at a pressure of 270 atm and a temperature of 22 degrees Celsius. A)…

A: Given that Volume = 15 L PRESSURE = 270 a t m Temperature = 22 +273 = 299 K R= 0.0821 atm Ltr / K…

Q: What is the pressure of 3.50 moles of an ideal gas if its volume is 1.30m and its temperature is…

A: Given:- The number of mole n= 3.50 mole Volume = 1.30 m3 The temperature T = 288oC Find:- The…

Q: A house has a volume of 870 m³. Part A What is the total mass of air inside the house at 15 °C?…

A: Given data, V = 870 m3 , T= 15°c = 288.15K 1atm=101325 Pa To, Find (a)…

Q: What can be the smallest volume of a cylinder containing 6.4 kg of oxygen (O2) if the walls of the…

Q: A sealed vessel of volume 0.15 m³ contains 3.2 moles of a diatomic ideal gas at pressure 1.4 atm.…

Q: A 5.00-m-long cylinder of solid aluminum has a radius of 3.00 cm. 1) If the cylinder is initially at…

A: Given:length of the cylinder, L = 5.00 mradius of cylinder, R = 3.00 cm = 0.03 minitial temperature,…

Q: 2-m long aluminum rod at 27°C is heated until it is 2.000236m at 77°C. what is the coefficient of…

Q: A circular hole in an aluminum plate is 2.725 cm in diameter at 0.000C.What is its diameter when…

Q: What is the change in length of a 3.00-cm-long column of mercury if its temperature changes from…

A: Given data: Length of mercury column(L)= 3.00 cm = 30.0 mm Initial temperature (Ti) = 39.0° Final…

Q: If you have a rigid 212 mL container holding 1.16 X 10^18 atoms of helium. What is the pressure In…

Q: Consider two cylindrical metal rods withequal cross section—one lead, the other aluminum—connected…

A: The above diagram, can be understood as the pictorial representation of the question. Given: Area of…

Q: A tire is filled with air at 15 C to a gauge pressure of 230 kPa Part A If the tire reaches a…

A: Here given the tire is filled with air at 15°C and 230 kPa.It reaches to temperature 39°C. We have…

Q: Five hundred cc of a gas at 20 mm Hg vacuum and 408°C undergoes a process until the pressure becomes…

Q: The gauge pressure in your car tires is 3.94 x 10° N/m² at a temperature of 39.0°C when you drive it…

A: By ideal gas law PV = nRT Here, V,n and R are constant T2=73-38.8 KT1=273+39 K

Q: An iron rod is heated from 32.00 oC to 182.0 oC. The initial length of the rod is 2235 cm. What is…

Q: A partially- inflated balloon contains 500 m³ helium at 80.6 °F and an absolute pressure of 1 atm.…

A: initial volume (V) = 500 m3Initial temperature (T) = 80.6oF = 27oC= 300 kelvinInitial pressure (P) =…

Q: A 15.0 L tank contains oxygen at a pressure of 270 atm and a temperature of 22 degrees Celsius. A)…

A: Given values and change into standard unit. Volume(V )= 15L = 15×10^-³m³. Pressure(P) =…

Q: Two metal rods of length 5.000 m are placed side by side. One rod is of copper and the other is of…

A: Given data: Length of the rods, L=5 m Temperature increase, ∆T=1000C Known data: Coefficient of…

Q: In an experimental setup similar to the one of your laboratory class, an unknown solid of mass…

Q: What is the new temperature of a lead ball if the initial temperature is 63°F, and the volume of the…

Q: A certain quantity of hydrogen occupies a volume of 1000 cm' at 0 °C and ordinary atmospheric…

A: The given values are, V1=1000 cm3P1=PP2=3PT1=T2=0° C

Q: copper rod is 8 m long at 20 ◦C and has a coefficient of linear expansion ? = 17 × 10−6 (?) −1 .…

Q: 5. Copper has a density 8.960 ´ 103 kg/m3 at 0.00°C. (a) How much mass does a 1.50-m3 block of…

A: Part a

Q: A certain ideal gas of volume V = 6.0 x10-3 m is at pressure P1 = 90 kPa and at temperature T1-20°C.…

A: The ideal gas equation is P V = n R T where, O is the pressure, V is the volume, n is the number…

Q: An ideal gas has a volume of 1.0 Liter, a pressure of 1.0 atm., and a temperature of 27 o C. If the…

A: Given data The initial volume is V1=1.0 Ltr The initial pressure is P1=1.0 atm The initial…

Q: Your answer is partially correct. An aluminum-alloy rod has a length of 7.8671 cm at 22.00°C and a…

Q: The area A of a rectangular plate is ab = 1.4 m?. Its coefficient of linear expansion is a = 22 x…

Q: A solid metal cube has a length of 1 meter and across sectional area of 1 m2. What does it mean that…

A: Thermal conductivity (k) tells us how much amount or speed of heat is transmitted through a…

Q: A steel bridge is built in the summer when its temperature is 38.0 ∘C∘C. At the time of…

A: Given data: Initial temperature (Ti) = 38.0°C Original Length (L0) = 79.05 m Final temperature (Tf)…

Q: An aluminum cup with mass 0.26 kg holds 0.30 kg of water. Both the cup and the water have a…

A: GIVEN: mass of cup m1 =0.26 kg specific heat of aluminum c1 =900 j/kg deg Celsius specific heat of…

Q: A cylinder containing 239.6 cubic centimeter of gas at a pressure of 342 kPa when its temperature is…

Q: An expensive vacuum system can achieve a pressure as low as 1.58 ✕ 10−7 N/m2 at 22°C. How many atoms…

A: To determine: The number of atoms present in the expensive vacuum system. Given: Pressure,…

Q: 1. Given 14.00 L of a gas at a pressure of 5.10 atm, what will the volume be if I increase the…

Q: Modern vacuum techniques make it possible to reach a pressure of 1.00 x 1010 mm Hg in a laboratory…

A: Pressure p=1×10^-10mmhg Temperature t=0°c =273k We have to find what volume in militerz would…

Q: An expensive vacuum system can achieve a pressure as low as 1.08 ✕ 10−7 N/m2 at 22°C. How many atoms…

Q: How many grams of coffee must evaporate from 350 g of coffee in a 100-g glass cup to cool the coffee…

A: The specific heat of a substance is the heat required to raise the temperature of the unit mass of a…

Question

100%

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.)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Trending now

This is a popular solution!

Step by step

Solved in 6 steps with 8 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A 6.00-m-long cylinder of solid aluminum has a radius of 3.00 cm. 1) If the cylinder is initially at a temperature of 8.00∘C, how much will the length change when the temperature rises to 40.0°C? (Express your answer to three significant figures.) Due to the temperature increase, by how much (in %) would the density of the aluminum cylinder decrease? (Express your answer to three significant figures.)
0.52 mol of argon gas is admitted to an evacuated 3.00 liter (3.00 × 10-3 m3) container at 20.0°C. The gas then undergoes an isobaric process to a temperature of 260°C. What is the final pressure of the gas, in atm? Your answer needs to have 3 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.
A 6.00-m-long cylinder of solid aluminum has a radius of 3.00 cm. "If the cylinder is initially at a temperature of 7.00 C, how much will the length change when the temperature rises to 40.0°C? (Express your answer to three significant figures.) Submit m Due to the temperature increase, by how much (in %) would the density of the aluminum cylinder decrease? (Express your answer to three significant figures.) Submit % By what percentage does the volume of the cylinder increase? (Express your answer to three significant figures.) %
A 3.00 LL tank contains air at 3.00 atmatm and 20.0∘C∘C. The tank is sealed and cooled until the pressure is 1.00 atmatm. What is the temperature then in degrees Celsius? Assume that the volume of the tank is constant. Express your answer in degrees Celsius. If the temperature is kept at the value found in part A and the gas is compressed, what is the volume when the pressure again becomes 3.00 atmatm? Express your answer with the appropriate units.
Hi please help:A cylinder bore in an aluminum engine block has a diameter of 95.00 mm at 20.00 degrees Celsius A. What is the diameter of the bore when the engine operates at 120.0 degrees Celsius? Express answer using 4 significant digits and in mm. B. At what temperature is the diameter of the hole equal to 94.85mm? Express your answer using 2 significant figures.
0.52 mol of argon gas is admitted to an evacuated 3.00 liter (3.00 × 10-3 m3) container at 20.0°C. The gas then undergoes an isobaric process to a temperature of 260°C. What is the final volume of the gas, in liters? Your answer needs to have 3 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.
A gas bottle contains 4.15×1023 Nitrogen molecules at a temperature of 354.0 K. What is the thermal energy of the gas? (You might need to know Boltzmann's constant: kg = 1.38x10-23 J/K.) 3041 J Submit Answer Incorrect. Tries 1/20 Previous Tries How much energy is stored in ONE degree of freedom for the whole system? 1.01x103 J are correct. Your receipt no. is 159-4121 O Previous Tries What is the average energy of a single molecule? 7.33x10^-21 J Submit Answer Incorrect. Tries 1/20 Previous Tries On average how much energy is stored by ONE degree of freedom for ONE single molecule? 2.44x10-21 j are correct. Your receipt no. is 159-1592 0 Previous Tries
1- 0.52 mol of argon gas is admitted to an evacuated 3.00 liter (3.00 × 10-3 m3) container at 20.0°C. The gas then undergoes an isobaric process to a temperature of 260°C. What is the final pressure of the gas, in atm? Your answer needs to have 3 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement. 2- 0.52 mol of argon gas is admitted to an evacuated 3.00 liter (3.00 × 10-3 m3) container at 20.0°C. What is the pressure of the gas, in atm? 1.00 atm = 1.00×105 Pa. Your answer needs to have 3 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.
A gas is heated to 75 °C and a pressure of 200 kPa. If the container is compressed to hold a volume of 700 mL, what was the volume of the gas, (in litres), at a temperature of 40 °C and 100 kPa pressure? B. A vessel of volume 5x10-5 m3 contains hydrogen at a pressure of 1.5 Pa at a temperature of 37 °C. Estimate: i. The number of molecules of hydrogen gas in the vessel. (4 marks) ii. The number of moles of hydrogen. iii. Mass of hydrogen iv. The kinetic energy of hydrogen. v. The root mean square speed. Given: M = 1.008 g/mol; R = 8.31 J/mol-K; NA = 6.02 x 1023 mol-1; k = 1.38 x 10-23 J/K
3 moles of gas of an ideal gas have a volume of 0.026 m3 and a pressure of 300 kpa. What is the temperature in degrees Celsius? (Step 1 identify the data. Step 2 pose the formula. Step 3 exercise.)
Note: Round off your answer to the nearest whole number. Input the numerical value only. Problem. A composite wire to be used as an integral component of a switch in an electrical device is composed of wire A and wire B. The wire has effective linear expansion coefficient of 0.000021 per Celsius-degree. What percentage of the total length of the composite wire is wire B? The linear expansion coefficient of wire A is 0.000012 per Celsius-degree. The linear expansion coefficient of wire B is 0.000038 per Celsius-degree. Activate Windows Go to Settings to activate Windows Question 3 of 4
An aluminum sphere has a diameter of 20.00 cm at 0°C. Part A Determine the sphere's diameter when it is heated to 200° C. Express your answer in centimeters. V ΑΣφ ? d = cm Submit Request Answer Part B -1 Use 7.2x10-5K¯ as the coefficient of volume expansion for aluminum to determine its volume when it is heated to 200° C. Express your answer in cubic centimeters. ? V = cm³ Submit Request Answer Provide Feedback Next >