Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 27.1, Problem 2cTH
To determine
Possibility of change in pressure by considering free-body diagram of the piston.
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A container with volume 1.58 L is initially evacuated. Then it
is filled with 0.246 g of N₂. Assume that the pressure of the
gas is low enough for the gas to obey the ideal-gas law to a
high degree of accuracy.
Part A
If the root-mean-square speed of the gas molecules is 162 m/s, what is the pressure of the gas?
Express your answer in pascals.
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Part A
Consider a monatomic gas of particles each with mass m. What is Vrms
Express your answer in terms of T, kB, m, and other given quantities.
▶ View Available Hint(s)
Vzrms
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Part B
Urmes
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Part C
Now consider the same system: a monatomic gas of particles of mass m, except in three dimensions. Find Urms, the rms speed if the gas is at an absolute temperature T
Express your answer in terms of T, kB, m, and other given quantities.
▸ View Available Hint(s)
20 =
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[5] ΑΣΦ
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What is the rms speed of molecules in air at 0°C? Air is composed mostly of N₂ molecules, so you may assume that it has molecules of average mass 28.0 x 1.661 × 10-27 kg =
Express your answer in meters per second, to the nearest integer.
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m/s
V
(v2), the root mean square (rms) of the x component of velocity of the gas particles if the gas is at an absolute temperature T?
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4.65 x 10-26 kg.
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R Review I Constants
Part A
A container holds 1.0 g of argon at a pressure of
8.0 atm.
How much heat is required to increase the temperature by 100° C at constant volume?
Express your answer with the appropriate units.
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Q =
Value
Units
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Part B
How much will the temperature increase if this amount of heat energy is transferred to the gas at constant pressure?
Express your answer in kelvins.
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K
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Chapter 27 Solutions
Tutorials in Introductory Physics
Ch. 27.1 - Prob. 1aTHCh. 27.1 - In this process, which of the quantities P, V, n,...Ch. 27.1 - Consider the following incorrect student...Ch. 27.1 - Explain why it is not possible to use the ideal...Ch. 27.1 - A long pin is used to hold the piston in place as...Ch. 27.1 - A long pin is used to hold the piston in place as...Ch. 27.1 - Prob. 2cTHCh. 27.2 - Prob. 1aTHCh. 27.2 - Prob. 1bTHCh. 27.2 - Prob. 1cTH
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- GC-1 An ideal gas is sealed in a cylinder and compressed by exerting a force on the piston as shown to the right. When the piston is stationary, the force on the shaft is 400N and the length L of gas in the cylinder is 15.0cm and the gas is at 20.0°C. Neglect friction between the cylinder and the piston. a) Draw the free body diagram for the piston and apply Fnet ma to the horizontal direction. Think about the direction of the force of the outside air on the piston. At 20.0°C R=7cm: Ideal gas 15.0cm air at atmospheri pressure piston b) Use your equation from part a) to get an equation for the pressure in the gas (remember that P=F/A). c) Use your equation from b) to calculate the pressure in the gas in the cylinder in N/m². d) Find the number of moles of gas in the cylinder. 400N e) The cylinder (and gas) are now heated to 400°C while the 400N force is maintained on the piston shaft. Find the new distance L of the piston from the end of the cylinder.arrow_forwarda A Geiger-Mueller tube is a radiation detector that consists of a closed, hollow, metal cylinder (the cathode) of inner radius r and a coaxial cylindrical wire (the anode) of radius rb (see figure below) with a gas filling the space between the electrodes. Assume that the internal diameter of a Geiger-Mueller tube is 3.05 cm and that the wire along the axis has a diameter of 0.195 mm. The dielectric strength of the gas between the central wire and the cylinder is 1.15 x 106 V/m. Use the equation 2πrle in to calculate the maximum potential difference that can be applied between the wire and EO the cylinder before breakdown occurs in the gas. Cathode Anode =arrow_forwardI just need help with part D 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. Answer: 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? Answer: Tv = 490.55 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…arrow_forward
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