Answered: What is the average translational…

What is the average translational kinetic energy of an ideal gas at 868 K? (The value of Boltzmann's constant is 1.38 x 10-23 J/K.) O 5.99 x 10-21 J O 1.23 x 1017J O 4.11 x 10-19) 1.80 x 10-20,

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter20: Kinetic Theory Of Gases

Section: Chapter Questions

Problem 61PQ

See similar textbooks

Related questions

Q: Consider nitrogen gas in a container at temperature T = 245 K. A molecule’s average kinetic energy…

A: The mass of a mole of nitrogen is, m=28×10-3 kg/mol6.023×1023 /mol=4.649×10-26 kg The average…

Q: The temperature of 2.00 moles of argon gas is lowered from 2.60 102 K to 2.30 102 K. (a) Find the…

A: (a) The change in the internal energy of argon gas can be given as, ΔU=32nRTf-Ti=322 moles8.314…

Q: What is the total translational kinetic energy of the gas molecules of air at atmospheric pressure…

Q: Four moles of a helium gas are at a temperature of 430 K. Calculate the average kinetic energy per…

Q: In a cylinder 5 moles of Methane gas (M=16.04 x 103 kg/mole) is at 35 °C temperature. Calculate for…

A: Given: No. of moles of methane gas=5 Molar mass of methane M=16.04×10-3kg/mole Temperature, T=35°C…

Q: How many molecules of an ideal gas are there in 1.0 m3 at 1.0 Pa and and 100 °C? a) 1.0 × 1020 b)…

A: Given data: Volume (V) = 1.0 m3 Pressure (P) = 1.0 Pa Temperature (T) = 100 °C Required: Number of…

Q: Internal energy of an ideal gas depends on: i. the volume of the ideal gas ii. the pressure of the…

Q: Evaluate rms speed, the average kinetic energy of a molecule and total random kinetic energy of all…

Q: What is the average translational kinetic energy of 1 molecule of monatomic ideal gas that has a…

A: temperature = T = 50 degree celsius T = 50 + 273 = 323 K Boltzmann constant…

Q: In ideal gas initially at 328ﾟC occupies a volume of 30 cm^3 at pressure 3.0 atm. It then expands to…

A: Ideal gas equation is PVT= constant .......(1)…

Q: A 5.00-mol sample of oxygen gas is confined to a pressure of 5 atm at a temperature of 27 degrees…

A: Given data: Mass of sample, m=5.00 mol Pressure, P=5 atm Temperature, T=270C=27+273=300 K

Q: A 8.5 L (8.5x10-3 m3) vessel contains 3.5 moles of ideal gas at a pressure of 1.4X106 Pa. Find (a)…

A: The vessel's volume is, V=8.5×10-3 m3 The number of moles of gas is, n=3.5 The pressure of a gas is,…

Q: A spherical balloon of volume 4.01 x 10° cm contains helium at a pressure of 1.25 x 105 Pa. How many…

A: SOlution: Given that V = 4.01x103 cm3 P = 1.25x105 Pa KE = 3.6x10-22 J

Q: A cylinder contains 15 moles of Ozone gas at 46.85 degree Centigrade temperature. The molar mas of…

A: Number of gas molecules= 15 Temperature of ozone gas= 46.85° C

Q: Diatomic gas is compressed at initial temperature of 342 K. Calculate the final temperature if the…

A: We know that kinetic energy of one mole of gas is given by KE= 3/2RT

Q: The lowest pressure attainable using the best available vacuum techniques is about…

Q: MXJWA A 4.2 L volume of neon gas (Ne) is at a pressure of 4.1 atm and a temperature of 460 K. The…

A: Given data: Volume , V=4.2 L Pressure, P=4.1 atm Temperature, T=460 K Atomic mass of neon, M=20.2…

Q: Two moles of a krypton gas are at a temperature of 420 K. Calculate the average kinetic energy per…

Q: Determine the following speeds (in m/s) for molecules of the diatomic gas bromine at a temperature…

Q: Evaluate rms speed, the average kinetic energy of a molecule and total random kinetic energy of all…

Q: A hydrogen molecule has a mass of 3.35 x 10-27 kg. If Boltzrnann's constant is 1.38 x 10 -23 J K ·',…

A: Given: The mass of hydrogen molecule, m = 3.35x10-27 kg The Boltzmann constant, k = 1.38x10-23 Jk-1…

Q: Use the Maxwell distribution to calculate the average value of v2 for the molecules in an ideal gas.…

A: Maxwell's distribution function for speed is given by where, k= Boltzmann constant. T = absolute…

Q: What is the internal energy (total kinetic energy) of three moles of a mono-atomic gas at…

A: Last option

Q: The initial temperature of neon that behaves as ideal gas is 377 K. If the change in average kinetic…

Q: A spherical balloon of volume 4000 cm3 contains helium at an (inside) pressure of 1.20 x 105 Pa. How…

Q: In a cylinder 4 moles of Helium gas (M= 4.02 x 10³ kg/mole) is at 30 °C temperature. Calculate for…

Q: Each molecule of the diatomic gas carbon monoxide contains one carbon atom and one oxygen atom. If…

Q: A 5.00-mol sample of oxygen gas is confined to a pressure of 5 atm at a temperature of 27 degrees…

A: The translational kinetic energy can be given by Kavg=32kBT

Q: If the pressure of an ideal monatomic gas is increased while the number of moles is kept constant,…

A: Answer: The expression of average translational energy of monochromatic gas is given by, E=32kT…

Q: Find the mean free path of molecules with radius 1.0 x 10^-10 m at a temperature of 27 degrees…

Q: QUESTION 10 What is the average translational kinetic energy of an ideal gas at 868 K? (The value of…

A: Given data The temperature of the gas is given as T = 868 K. The Boltzmann's constant is given as k…

Q: A spherical balloon of volume 3.95 x 103 cm3 contains helium at a pressure of 1.15 x 105 Pa. How…

A: The given values are,

Q: 16. Calculate the change internal energy of an ideal gas in J if the temperature is changed from…

Q: A mole of a monatomic ideal gas is heated until it reaches a temperature of 216 °C . If the change…

Q: Suppose I tell you that hydrogen in a rigid container at room temperature has a volume of V = 0.40…

A: a) no of moles = massmolecular mass=292=14.5 molone mole = 6.023 x 1023 moleculestotal no of…

Q: A spherical balloon of volume 4000 cmº contains helium at an (inside) pressure of 1.20 x 10° Pa. How…

A: Given,Volume of the spherical balloon, V == 4000 cm3pressure, P = 1.20×105 Paaverage kinetic energy…

Q: A spherical balloon of volume 4.05 103 cm3 contains helium at a pressure of 1.23 105 Pa. How many…

A: It is given that,

Q: At what temperature would the root mean square speed of oxygen molecules be 13.0 m/s? Oxygen is…

A: Given:- The root mean square speed of oxygen molecules be vrms=13 m/s Oxygen is assumed to…

Q: Two moles of a helium gas are at a temperature of 260 K. Calculate the average kinetic energy per…

Q: For a hydrogen gas at 25 degree Celsius, most molecules would be travelling at: A. 2.3 km/sec B. 2.0…

Q: Consider nitrogen gas in a container at temperature T= 225 K. A molecule's average kinetic energy is…

A: For the given problem the kinetic energy is given by as the relation KE = 32kbTwhere, kb =…

Q: 2 mol of an ideal monoatomic gas moves from State 1 to State 2 P at constant pressure 1000 Pa and…

A: We have a monoatomic gas of n=2 mol in a isobaric process at pressure P=1000 Pa from volume V1=2 m3…

Q: QUESTION 7 What is the average translational kinetic energy of an ideal gas at 816 K? (The value of…

Q: Evaluate rms speed, the average kinetic energy of a molecule and total random kinetic energy of all…

A: We need to calculate the rms speed, average energy of one molecule and total random kinetic energy…

Q: What is the average translational kinetic energy of 1 mole of monatomic ideal gas that has a…

A: Given that For a monoatomic ideal gas Number of moles n= 1 mole Temperature of the gas T = 50 degree…

Concept explainers

Diatomic Gas

Molecule, is a collection of two or more atoms together (which constitute the smallest observable unit) into a pure material. There are some ways to represent the structure of a molecule. Factor symbols represent atoms in Lewis structures, and dots represent electrons that accompany them. A pair of mutual electrons (covalent bond) may be represented by a single dash. The ball-and-stick model depicts the spatial structure of the atoms better.

Question

What is the average translational kinetic energy of an ideal gas at 868 K? (The value of Boltzmann's constant is 1.38 x 10-23 J/K.)
O 5.99 x 10-21 ,
O 1.23 x 10-17,
O 4.11 x 10-19,
1.80 x 10-20,

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

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

Cylinder A contains oxygen (O2) gas, and cylinder B contains nitrogen (N2) gas. If the molecules in the two cylinders have the same rms speeds, which of the following statements is false? (a) The two gases haw different temperatures. (b) The temperature of cylinder B is less than the temperature of cylinder A. (c) The temperature of cylinder B is greater than the temperature of cylinder A. (d) The average kinetic energy of the nitrogen molecules is less than the average kinetic energy of the oxygen molecules.
A gas is at 200 K. If we wish to double the rms speed of the molecules of the gas, to what value must we raise its temperature? (a) 283 K (b) 400 K (c) 566 K (d) 800 K (e) 1 130 K
How many moles are there in (a) 0.0500 g of N2 gas (M = 28.0 g/mol)? (b) 10.0 g of CO2 gas (M = 44.0 g/mol)? (c) How many molecules are present in each case?
Two containers hold an ideal gas at the same temperature and pressure. Both containers hold the same type of gas, but container B has twice the volume of container A. (i) What is the average translational kinetic energy per molecule in container B? (a) twice that of container A (b) the same as that of container A (c) half that of container A (d) impossible to determine (ii) From the same choices, describe the internal energy of the gas in container B.
A cylinder with a piston holds 0.50 m3 of oxygen at an absolute pressure of 4.0 atm. The piston is pulled outward, increasing the volume of the gas until the pressure drops to 1.0 atm. If the temperature stays constant, what new volume does the gas occupy? (a) 1.0 m3 (b) 1.5 m3 (c) 2.0 m3 (d) 0.12 m3 (e) 2.5 m3
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).
An ideal gas is contained in a vessel at 300 K. The temperature of the gas is then increased to 900 K. (i) By what factor does the average kinetic energy of the molecules change, (a) a factor of 9, (b) a factor of 3, (c) a factor of 3, (d) a factor of 1, or (e) a factor of 13? Using the same choices as in part (i), by what factor does each of the following change: (ii) the rms molecular speed of the molecules, (iii) the average momentum change that one molecule undergoes in a collision with one particular wall, (iv) the rate of collisions of molecules with walls, and (v) the pressure of the gas?
Helium gas is in thermal equilibrium with liquid helium at 4.20 K. Even though it is on the point of condensation, model the gas as ideal and determine the most probable speed of a helium atom (mass = 6.64 1027 kg) in it.
If the average kinetic energy of the molecules in an ideal gas initially at 20C doubles, what is the final temperature of the gas? (5.6) (a) 10C (b) 40C (c) 313C (d) 586C
One cylinder contains helium gas and another contains krypton gas at the same temperature. Mark each of these statements true, false, or impossible to determine from the given information. (a) The rms speeds of atoms in the two gases are the same. (b) The average kinetic energies of atoms in the two gases are the same. (c) The internal energies of 1 mole of gas in each cylinder are the same. (d) The pressures in the two cylinders ale the same.
The mass of a single hydrogen molecule is approximately 3.32 1027 kg. There are 5.64 1023 hydrogen molecules in a box with square walls of area 49.0 cm2. If the rms speed of the molecules is 2.72 103 m/s, calculate the pressure exerted by the gas.
On a hot summer day, the density of air at atmospheric pressure at 35.0C is 1.1455 kg/m3. a. What is the number of moles contained in 1.00 m3 of an ideal gas at this temperature and pressure? b. Avogadros number of air molecules has a mass of 2.85 102 kg. What is the mass of 1.00 m3 of air? c. Does the value calculated in part (b) agree with the stated density of air at this temperature?