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.

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.

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 39PQ

See similar textbooks

Similar questions

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?
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?
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.
Suppose a Krypton atom (atomic mass = 83.8 u) near the surface of the Earth where the temperature is 295 K is moving straight up with a speed that is equal to the root-mean-square-speed. Assume that the atom does not collide with any other atom or molecules. To what height (in meters) will the atom go up before it comes to rest? (Assume that the acceleration due to gravity is constant)
Most of the earth’s atmosphere is the gas nitrogen, which consists of molecules, N2. At the coldest temperature ever recorded on earth, –95°C, what is the root-mean-square speed of the nitrogen molecules? Does the temperature at the earth’s surface ever get high enough that a typical molecule is moving at twice this speed? (The highest temperature ever recorded on earth was 54°C.)
Oxygen, modeled as an ideal gas, is in a container and has a temperature of 77.0°C. What is the rms-average magnitude of the momentum of the gas molecules in the container?
If the temperature of an ideal gas is raised from 15C to 250C, how many times faster is the new average (rms) speed of the gas molecules?
The air in your room is composed mostly ofoxygen 1O22 and nitrogen 1N22 molecules. The oxygen moleculesare more massive than the nitrogen molecules. (a) Is the rms speedof the O2 molecules greater than, less than, or equal to the rmsspeed of the N2 molecules? (b) Choose the best explanation fromamong the following:I. The more massive oxygen molecules have greater momentumand therefore greater speed.II. Equal temperatures for the oxygen and nitrogen moleculesimply they have equal rms speeds.III. The temperature is the same for both molecules, and hencetheir average kinetic energies are equal. As a result, the moremassive oxygen molecules have lower speeds
Calculate the root mean square, average, and most probable velocities in centimeters per second of Neon molecules at 135 °C. What is the total kinetic energy of translation of 40 g of this gas in Joules?
Suppose that the rms speed of carbon dioxide molecules, with molar mass of 44.0 g/mol, in a flame is found to be 1.2 × 105 m/s. a. What temperature, in kelvins, does this represent?
An argon-40 atom has a mass of 6.64 ✕ 10−26 kg. (a) What temperature (in K) would a gas composed entirely of argon-40 atoms have to be at in order for the rms speed of the atoms to equal the escape speed from Earth, 1.12 ✕ 104 m/s? K (b) What temperature (in K) would a gas composed entirely of argon-40 atoms have to be at in order for the rms speed of the atoms to equal the escape speed from the Moon, 2.37 ✕ 103 m/s? K
A deuteron 21H, is the nucleus of a hydrogen isotope and consists of one proton and one neutron. The plasma of deuterons in a nuclear fusion reactor must be heated to about 2.94×108 K. What would the temperature of the plasma be if the deuterons had an rms speed equal to 0.11 c? Express your answer in kelvins.