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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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 =
[IV] ΑΣΦ
✓(2²) =
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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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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.
Ε ΑΣΦ
P =
?
Pa
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.
H HẢ
Q =
Value
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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.
ΑΣφ
K
AT =
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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- A cylinder contains a mixture of helium and argon gas in equilibrium at 150C. (a) What is the average kinetic energy for each type of gas molecule? (b) What is the rms speed of each type of molecule?arrow_forwardA person is in a closed room (a racquetball court) with v=453 m3 hitting a ball (m 42.0 g) around at random without any pauses. The average kinetic energy of the ball is 2.30 J. (a) What is the average value of vx2 ? Does it matter which direction you take to be x ? (b) Applying the methods of this chapter, find the average pressure on the walls? (c) Aside from the presence of only one "molecule" in this problem, what is the main assumption in Pressure, Temperature, and RMS Speed that does not apply here?arrow_forward(a) In the deep space between galaxies, me density of atoms is as low as 106atoms/m3, and me temperature is a frigid 2.7 K. What is me pressure? (b) What volume (in m3) is occupied by 1 mol of gas? (c) If this volume is a cube, what is the length of its sides in kilometers?arrow_forward
- Consider water at 0C and initially at some pressure just below the critical pressure. Its pressure is then lowered to a value near zero while the temperature is held constant. Hint: Consult Figure 20.17. a. Describe the phases that water passes through during this process. b. If the curve between the solid phase and the liquid phase sloped upward and to the right as it does for carbon dioxide, how would your answer to part (a) change?arrow_forwardA 22-cm-diameter vertical cylinder is sealed at the top by a frictionless 16 kg piston. The piston is 79 cm above the bottom when the gas temperature is 303° C. The air above the piston is at 1.00 atm pressure. Part A What is the gas pressure inside the cylinder? Express your answer with the appropriate units. ► View Available Hint(s) Po = Submit Part B μÀ Value Units ? What will the height of the piston be if the temperature is lowered to 13°C? Express your answer with the appropriate units.arrow_forwardGC-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_forward
- a 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_forwardNeeds Complete typed solution with 100 % accuracy.arrow_forwardM2arrow_forward
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