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A high-vacuum system in a physics research lab can achieve a pressure as low at 1.00×10−7N/m2at 20.0◦C. How many molecules are there in a cubic centimeter at this pressureand temperature?

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 37PE: (a) What is me gauge pressure in a 25.0C car tire containing 3.60 mol of gas in a 30.0 L volume? (b)...

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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.

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4. A high-vacuum system in a physics research lab can achieve a pressure as low at 1.00×10−7N/m2at 20.0◦C. How many molecules are there in a cubic centimeter at this pressureand temperature?

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(a) What is me gauge pressure in a 25.0C car tire containing 3.60 mol of gas in a 30.0 L volume? (b) What will its gauge pressure be if you add 1.00 L of gas originally at atmospheric pressure and 25.0C ? Assume the temperature returns to 25.0C and me volume remains constant.
What is the density of diatomic nitrogen gas (N2) at a temperature of 20.00 C under a pressure of 100 kPa? The atomic mass of nitrogen is 14 g/mole. a. 1.15 kg/m3 b. 1.97 kg/m3 c. 2.33 kg/m3 d. 2.76 kg/m3 e. 1.50 kg/m3
What is the R.M.S. velocity of molecules or the gas at N.T.P. if density of this gas at N.T.P. is 0.165 kg/m?? What will be the R.M.S. velocity at 227°C [Given : 1 atmospheric pressure = 1.013 × 10 N/m².
1. Average atomic and molecular speeds (vrms) are large, even at low temperatures. What is vrms (in m/s) for helium atoms at 6.00 K, just two degrees above helium's liquefaction temperature? 2. The escape velocity from the Moon is much smaller than from Earth and is only 2.38 km/s. At what temperature (in K) would hydrogen molecules (molar mass is equal to 2.016 g/mol) have an average velocity vrms equal to the Moon's escape velocity? 3.Hydrogen molecules (molar mass is equal to 2.016 g/mol) have an average velocity vrms equal to 239 m/s. What is the temperature (in K)?
1. Let's say that we have 3.68 L of a gas was at an unknown pressure. However, at standard pressure, its volume was determined to be 9.20 L. We need to solve for the unknown pressure?
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1. Large helium-filled balloons are used to lift scientific equipment to high altitudes. (a) What is the pressure inside such a balloon if it starts out at sea level with a temperature of 10 °C and rises to an altitude where its volume is twenty times the original volume and its temperature is -44°C? P₂= atm (b) What is the gauge pressure? (Assume atmospheric pressure is constant.) Gauge pressure: atm
P1. Consider a gas of oxygen atoms (H0, = 32 g/mol). What should the temperature of the gas be for the mean square speed of the atoms to be v = 100 m/s? While keeping the temperature the same as before, what should the pressure of the gas be for a container of volume V = 51 to be able to contain m = 1 kg of oxygen? How much does the temperature of the gas increase if the container is dropped on the ground at a speed of u = 2 m/s? You may neglect thermal conduction with the outside.
P1. Consider a gas of oxygen atoms (µo, = 32 g/mol). What should the temperature of the gas be for the mean square speed of the atoms to be v = 100 m/s? While keeping the temperature the same as before, what should the pressure of the gas be for a container of volume V = 51 to be able to contain m = 1 kg of oxygen? How much does the temperature of the gas increase if the container is dropped on the ground at a speed of u = 2 m/s? You may neglect thermal conduction with the outside.
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3. A 6m3 tank contains helium at 127 C and in evacuated from atmospheric pressure to a pressure of 740 mm Hg vacuum. Determine (a) mass of helium remaining in the tank (b) mass of helium pumped out (c) the temp of the remaining helium falls to 10 C, what is the pressure in Kpa? R of helium is 2077.67 J/kg-K.
Q1