During one second, 10 million argon atoms (M = 39,498 g / mol) collide with one of the walls of the cubic container that contains them. The gas temperature is 20 ° C. The atoms have a mass of 6.63x10-27 kg. For gas, y = 1.67 and the edges of the container measure 0.50 m. Assuming that the duration of the collisions is 1 s, determine: a) the rms velocity of these atoms, in a direction perpendicular to the wall b) the change in total momentum after the collision c) the net force that the walls exert on the gas during that event

During one second, 10 million argon atoms (M = 39,498 g / mol) collide with one of the walls of the cubic container that contains them. The gas temperature is 20 ° C. The atoms have a mass of 6.63x10-27 kg. For gas, y = 1.67 and the edges of the container measure 0.50 m. Assuming that the duration of the collisions is 1 s, determine: a) the rms velocity of these atoms, in a direction perpendicular to the wall b) the change in total momentum after the collision c) the net force that the walls exert on the gas during that event

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter13: Temperature, Kinetic Theory, And The Gas Laws

Section: Chapter Questions

Problem 38PE: (a) In the deep space between galaxies, me density of atoms is as low as 106atoms/m3, and me...

See similar textbooks

Similar questions

In the text, it was shown that N/V=2.681025m3 for gas at STP. (a) Show that this quantity is equivalent to N/V=2.681019cm3, as stated. (b) About how many atoms are mere in one m3 (a cubic micrometer) at STP? (c) What does your answer to part (b) imply about the separation of Mama and molecules?
At 22.0C, the radius of a solid aluminum sphere is 7.00 cm. a. At what temperature will the volume of the sphere have increased by 3.00%? b. What is the increase in the spheres radius if it is heated to 250C? Assume = 22.2 106 K1 and = 66.6 106 K1.
The molecules in a six-particle gas have velocities v1 = (20i – 30j) m/s (50i + 90j) m/s vz = (-90i + 20j) m/s v4 = 30i m/s Part B Calculate vavg vs = (40i – 40j) m/s v1 = (-50i – 403) m/s Express your answer to two significant figures and include the appropriate units. Vavg = Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining Part C Calculate vrms Express your answer to two significant figures and include the appropriate units. Urms = S Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining
(a) What is the number of molecules per cubic meter in air at 20C and at a pressure of 1.0 atm (= 1.01 * 10^5 Pa)? (b) What is the mass of 1.0 m3 of this air? Assume that 75% of the molecules are nitrogen (N2) and 25% are oxygen (O2).
Your spaceship has docked at a space station above Mars. The temperature inside the space station is a carefully controlled 24 ∘C at a pressure of 745 mmHg. A balloon with a volume of 437 mL drifts into the airlock where the temperature is −95 ∘C and the pressure is 0.115 atm. What is the final volume, in milliliters, of the balloon if n does not change and the balloon is very elastic?
The volume of an automobile tire is 2.5 × 10−2m3 . the pressure of the air in the tire is 2.8 atm and the temperature is 26C ◦ . what is is the mass of air in grams ? The mean molecular mass of air is 29g. 1 atm = 1.01 × 105 Pa ; Calculate to 2 decimals.
Two containers of equal volume each hold samples of the same ideal gas. Container A has 2 times as many molecules as container B. If the gas pressure is the same in the two containers, find the ratio of the the absolute temperatures TA and TB ( i.e TA / TB ) . Calculate to 2 decimals.
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.
An ideal gas in a 1.25-gallon[gal] container is at a temperature of 135 degrees Celsius [°C] and pressure of 2.4 atmospheres [atm]. If the gas is oxygen (formula: O2, molecular weight=32 grams per mole [g/mol]), what is the amount of gas in the container in units of grams [g]?
A (1.0x10^1) liter bottle is filled with nitrogen (N2) at STP (Standard Temperature and Pressure is 1 atm and 273 K) and closed tight. If the temperature is raised to 100° C, what will be the new pressure in SI units to two significant figures.
Ex. 13: Calculate the number of molecules in one liter of gas at N.T.P., if mass of each molecules is 4.55 × 10 25 kg and its R.M.S. velocity at N.T.P. is 350 m/s. (Atmospheric pressure P = 10³ N/m²)
Problem 6: There are lots of examples of ideal gases in the universe, and they exist in many different conditions. In this problem we will examine what the temperature of these various phenomena are. Part (a) Give an expression for the temperature of an ideal gas in terms of pressure P, particle density per unit volume ρ, and fundamental constants. T = P/( ρ kB ) Part (b) Near the surface of Venus, its atmosphere has a pressure fv= 96 times the pressure of Earth's atmosphere, and a particle density of around ρv = 0.92 × 1027 m-3. What is the temperature of Venus' atmosphere (in C) near the surface? Part (c) The Orion nebula is one of the brightest diffuse nebulae in the sky (look for it in the winter, just below the three bright stars in Orion's belt). It is a very complicated mess of gas, dust, young star systems, and brown dwarfs, but let's estimate its temperature if we assume it is a uniform ideal gas. Assume it is a sphere of radius r = 5.8 × 1015 m (around 6 light years)…