Answered: What pressure of argon gas is required…

What pressure of argon gas is required to produce a collision rate of 4.5 × 1020 s−1 at 425 K on a circular patch of surface of diameter 1.5 mm?

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter2: The Kinetic Theory Of Gases

Section: Chapter Questions

Problem 91AP: Find the ratio f(vp)/f(vrms) for hydrogen gas ( M=2.02 g/mol) at a temperature of 77.0 K.

See similar textbooks

Related questions

Q: The rms velocity of molecules of a gas at - 73°C and 1 atmospheric pressure is 100 m/s. The temp. of…

Q: Calculate the limiting ratios of internal energy per mole possessed by He and hydrogen at 10,000K.

A: Here,The helium is monoatomic and hydrogen is diatomic.The degree of freedom for helium is 3 at all…

Q: What is the difference in molar Gibbs energy, due to pressure, when a system moves from the ocean…

Q: (I) Calculate the rms speed of helium atoms near thesurface of the Sun at a temperature of about…

A: GivenHelium atom near the surface of the sun havingTemperature T = 6000 K

Q: Consider an ideal gas in a container with fixed volume. When the temperature of the gas is…

A: solution

Q: Suppose a Krypton atom (atomic mass = 83.8 u) near the surface of the Earth where the temperature is…

Q: During one second, 10 million argon atoms (M = 39,498 g / mol) collide with one of the walls of the…

A: NOTE : As per bartleby guidelines, we can answer only first 3 parts of a question. For remaining…

Q: At what temperature would the rms speed of deuterium atoms equal the following speeds? (Note: The…

A: Mass of deuterium (M)= 3.32× 10-²⁷ kg We know that rms velocity(Vrms) is given by Vrms= √(3RT/M)…

Q: molecules, with a molar mass of 2.016 g/mol, in a certain gas have an rms speed of 385 m/s. -What…

A: Given Vrms = 385 m/s Molar mass = 2.016 g/mol = 2.016 ×10-3 kg/mol

Q: An ideal monatomic gas consists of 4 particles with the following velocities (with unit m/s): v, =î…

Q: If one could somehow (pretend) get the temperature of an ideal gas to be absolute zero (i.e., 0 K)…

A: at absolute zero temperature scale (0K) the volume of an ideal gas would be zero than all the…

Q: Under constant pressure, the temperature of 2.00 mol of an ideal monatomic gas is raised 15.0 K.…

Q: How many moles of air are in a regular 1.0-L water bottle when you finish drinking the water? Assume…

A: Given data The volume of the water bottle is given as V = 1 L. The temperature of the air is given…

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

Q: The rms velocity of molecules of a gas at - 73°C and 1 atmospheric pressure is 100 m/s. The temp. of…

Q: An argon-40 atom has a mass of 6.64 ✕ 10−26 kg. (a) What temperature (in K) would a gas composed…

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

A: Given: The temperature is T=245 K. The molecule’s average kinetic energy is Kavg=32kBT. The…

Q: Initially, the translational RMS speed of an atom of a monoatomic ideal gas is 250 m/s. The pressure…

A: Formula of rms speed of gas is as follows; vrms=3PVM…

Q: An ideal gas is confined in a box that initially has pressure P. If the absolute temperature of the…

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

Q: an experiment, the temperature of a hot gas stream is to be measured by a thermocouple with a…

Q: Calculate the temperature at which the rms speed of the hydrogen gas would equal the rms speed of…

A: The square root of the average of the squared speed of the particles inside the gas is defined as…

Q: Three moles of an argon gas are at a temperature of 275 K. Calculate (a) the kinetic energy per…

A: Part A:

Q: In the hot gases of an automotive engine's cylinders, temperatures may exceed 3100 k. What would be…

A: Given In the hot gases of an automotive engine's cylinders, temperatures may exceed 3100 k. The mass…

Q: What are the different ways of increasing the number of molecular collisions per unit time in a gas?

A: The ways by which the number of molecular collisions in a gas can be increased are;

Q: The pressure exerted by a molecular hydrogen gas at a temperature of 7 °C is 1.01x105 N/m2. Assuming…

Q: Calculate the molar kinetic energy of translation of a mole of hydrogen at NTP. Given R=8.31J/mol K.

A: The equation for the molar kinetic energy of translation of a gas is given by,

Q: If the 3 moles of hydrogen at 3.0 Pa and 290 K had expanded freely from 10 L to 18 L. Calculate the…

Q: A bullet of mass 10 g is traveling horizontally at 200 m/s when it strikes and embeds in a pendulum…

A: The mechanical energy dissipated equals the kinetic energy and can be obtained as

Q: Calculate the root-mean-square (rms) speed (in m/s) of butane (CHo) gas molecules at a temperature…

Q: Nitrogen is released at one end of a pressure chamber of length 30 meters and takes 7 hours and 44…

Q: The air in your room is composed mostly ofoxygen 1O22 and nitrogen 1N22 molecules. The oxygen…

A: The rms speed is given by vrms=3RTM The rms speed is inversely proportional to the molecular mass.…

Q: Calculate the rms speed of smoke particles of mass 5*10 -17 kg in their Brownian motion in air at…

Q: Find the ratio rms velocity of Helium (He“) and hydrogen (;H?) at constant temperature O a. 1:4 O b.…

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: At what frequency do molecules (diameter 290 pm) collide in (an ideal) oxygen gas (O2) at…

A: The expression for the average molecular speed is,

Q: For a diatomic ideal gas, which of the following makes the largest contribution to the total mola…

A: Required : Which of the following make the largest contribution in the total molar heat capacity.

Q: 1.8 A gas under a pressure of 1 MPa absolute has a specific weight of 99 N/m³. What is the value of…

A: For question 1.8, We need to know the Molecular mass of the gas to find the R value. As the value is…

Q: The rms speed of a gas molecule is more, if: O a. temperature is less O b. temperature is zero O c.…

Q: Review, At what temperature would the average speed of helium atoms equal (a) the escape speed from…

A: Part A. Average speed of atoms is given by: V_avg = 8kTπm From above equation: k = Boltzmann's…

Q: In an interstellar gas cloud at 50.0 K, the pressure is 1.00 * 10-8 Pa. Assuming that the molecular…

A: The molecular diameter of the gases,

Q: A cubical box with sides of length 0.342 m contains 1.220 moles of neon gas at a temperature of 319…

A: Given Data: The side length of a box is, a=0.342 m The number of moles is, n=1.220 moles The…

Q: How much energy (in J) is required to evaporate 25% of 4g of water currently at 100 oC? The answer…

A: m=Mass of water=0.25×4=1 gLv=Latent heat of vaporization=2260×103 J/kg

Q: Figure CQ10.9 shows Maxwell speed distributions for three different samples of oxygen (O2) gas. (a)…

A: The relation between the temperature and the rms speed is

Q: Following a collision between a large spacecraft and an asteroid, a copper disk of radius 28.0 m and…

A: Given: The radius of the disk is r = 28 m, The thickness of the disk is t = 1.20 m The angular speed…

Concept explainers

Kinetic Theory of Gas

The Kinetic Theory of gases is a classical model of gases, according to which gases are composed of molecules/particles that are in random motion. While undergoing this random motion, kinetic energy in molecules can assume random velocity across all directions. It also says that the constituent particles/molecules undergo elastic collision, which means that the total kinetic energy remains constant before and after the collision. The average kinetic energy of the particles also determines the pressure of the gas.

P-V Diagram

A P-V diagram is a very important tool of the branch of physics known as thermodynamics, which is used to analyze the working and hence the efficiency of thermodynamic engines. As the name suggests, it is used to measure the changes in pressure (P) and volume (V) corresponding to the thermodynamic system under study. The P-V diagram is used as an indicator diagram to control the given thermodynamic system.

Question

What pressure of argon gas is required to produce a collision rate of 4.5 × 10²⁰ s⁻¹ at 425 K on a circular patch of surface of diameter 1.5 mm?

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

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 4 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

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.
Find the ratio f(vp)/f(vrms) for hydrogen gas ( M=2.02 g/mol) at a temperature of 77.0 K.
In the hot gases of an automotive engine's cylinders, temperatures may exceed 3100 k. What would be the "root mean square" or "rms" velocity of a hydrogen atom, if one happened to be in that gas after some chemical reaction? The mass of a hydrogen atom is about 1.66x10-27 kg. Give your answer in m/s, but enter only the number.
If all the gas particles are in a state of moving toward each other and causing a collision, then the calculated velocity is... A. The most possible speedB. Average speedC. Mean square root velocityD. Relative speedE. Speed squared
Consider two containers, one holding 1 kg of argon at 300 K and the other holding1 kg of krypton at 500 K. In each vessel, the average microscopic speed is given bȳv = √8kbT /πm
Consider nitrogen gas in a container at temperature T = 245 K. A molecule’s average kinetic energy is Kavg=32kBT. Calculate the momentum magnitude p of a nitrogen molecule having this kinetic energy. The momentum magnitude p of the nitrogen molecule is _____kg⋅m/s.
The escape speed from the Moon is much smaller than from Earth, around 2.38 km/s. a) At what temperature, in kelvins, would hydrogen molecules (with molar mass of 2.016 g/mol) have an rms speed equal to the Moon’s escape speed?
Consider nitrogen gas in a container at temperature T = 245 K. A molecule’s average kinetic energy is Kavg=32kBT. Calculate the momentum magnitude p of a nitrogen molecule having this kinetic energy. The momentum magnitude p of the nitrogen molecule is _____ kg⋅m/skg⋅m/s.
If the 3 moles of hydrogen at 3.0 Pa and 290 K had expanded freely from 10 L to 18 L. Calculate the final pressure of the gas. (a) 2.5 Pa (b) 3.0 Pa (c) 1.6 Pa (d) 2.7 Pa
Consider a gas in a cubical container 22 cm on a side. How many states lie within ±0.01% of the momentum magnitude p=1.6×10−23 kg⋅m/s (a plausible momentum for a nitrogen molecule in a gas at room temperature)? The number of states that lie within ±0.01% of the momentum magnitude p=1.6×10−23 kg⋅m/s is × ______10^25.
At what temperature would the rms speed of the helium atoms (mass=6.66x10^-27kg) equal its escape speed from the earth which is 1.12x 10^4 m/s? Answer is given as 60509 K but cannot figure out how that could be it.
A student foolishly attempts to stop a steel bar, of length L = 1 m and at a temperature of 20ºC, from thermally expanding by attaching it to a wooden support with a nail at each end. Steel's Young's modulus is Y = 2.7 × 1011 N/m2 and it's linear thermal expansion coefficient is α = 12.9 × 10-6 1/C. Randomized Variables Y = 2.7 × 1011 N/m2α = 12.9 × 10-6 1/C a. Enter an expression, in terms of defined variables, for the stress, S, that each nail will need to sustain at a temperature Ts. b. What is the value of the stress, in pascals, that develops due to a rise of temperature to 21ºC? c. Assuming the nails have a cross-sectional area of A = 10-5 m2 all of which is perpendicular to the stress force from the bar, what is the force acting on each due to that temperature rise?