Physics for Scientists and Engineers, Technology Update, Hybrid Edition (with Enhanced WebAssign Multi-Term LOE Printed Access Card for Physics)
9th Edition
ISBN: 9781305116429
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 21, Problem 21.3QQ
To determine
The types of energy that are contributing to the molar specific heat.
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The molar specific heat of a diatomic gas is measured at constant volume and found to be 29.1 J/mol K. What are the types of energy that are contributing to the molar specific heat? (a) translation only (b) translation and rotation only (c) translation and vibration only (d) translation, rotation, and vibration
A certain molecule has f degrees of freedom. Show that an ideal gas consisting of such molecules has the following properties: (a) its total internal energy is fnRT/2, (b) its molar specific heat at constant volume is fR/2, (c) its molar specific heat at constant pressure is (f + 2)R/2, and (d) its specific heat ratio is γ = CP/CV = (f + 2)/f.
A 2.00 mol sample of an ideal diatomic gas at a pressure of 1.10 atm and temperature of 420 K undergoes a process in which its pressure increases linearly with temperature. The final temperature and pressure are 720 K and 1.70 atm . Fid the change in internal energy, work done by the gas, and heat added.
Chapter 21 Solutions
Physics for Scientists and Engineers, Technology Update, Hybrid Edition (with Enhanced WebAssign Multi-Term LOE Printed Access Card for Physics)
Ch. 21 - Two containers hold an ideal gas at the same...Ch. 21 - (i) How does the internal energy of an ideal gas...Ch. 21 - Prob. 21.3QQCh. 21 - Prob. 21.4QQCh. 21 - Cylinder A contains oxygen (O2) gas, and cylinder...Ch. 21 - An ideal gas is maintained at constant pressure....Ch. 21 - Prob. 21.3OQCh. 21 - A helium-filled latex balloon initially at room...Ch. 21 - Prob. 21.5OQCh. 21 - Prob. 21.6OQ
Ch. 21 - A sample of gas with a thermometer immersed in the...Ch. 21 - Prob. 21.8OQCh. 21 - Which of the assumptions below is not made in the...Ch. 21 - Hot air rises, so why does it generally become...Ch. 21 - Prob. 21.2CQCh. 21 - When alcohol is rubbed on your body, it lowers...Ch. 21 - What happens to a helium-filled latex balloon...Ch. 21 - Which is denser, dry air or air saturated with...Ch. 21 - One container is filled with helium gas and...Ch. 21 - Daltons law of partial pressures states that the...Ch. 21 - (a) How many atoms of helium gas fill a spherical...Ch. 21 - A cylinder contains a mixture of helium and argon...Ch. 21 - Prob. 21.3PCh. 21 - In an ultrahigh vacuum system (with typical...Ch. 21 - A spherical balloon of volume 4.00 103 cm3...Ch. 21 - A spherical balloon of volume V contains helium at...Ch. 21 - A 2.00-mol sample of oxygen gas is confined to a...Ch. 21 - Oxygen, modeled as an ideal gas, is in a container...Ch. 21 - Prob. 21.9PCh. 21 - The rms speed of an oxygen molecule (O2) in a...Ch. 21 - A 5.00-L vessel contains nitrogen gas at 27.0C and...Ch. 21 - A 7.00-L vessel contains 3.50 moles of gas at a...Ch. 21 - In a period of 1.00 s, 5.00 1023 nitrogen...Ch. 21 - In a constant-volume process, 209 J of energy is...Ch. 21 - A sample of a diatomic ideal gas has pressure P...Ch. 21 - Review. A house has well-insulated walls. It...Ch. 21 - A 1.00-mol sample of hydrogen gas is healed at...Ch. 21 - A vertical cylinder with a heavy piston contains...Ch. 21 - Calculate the change in internal energy of 3.00...Ch. 21 - A 1.00-L insulated bottle is full of tea at 90.0C....Ch. 21 - Review. This problem is a continuation of Problem...Ch. 21 - A certain molecule has f degrees of freedom. Show...Ch. 21 - In a crude model (Fig. P21.23) of a rotating...Ch. 21 - Why is the following situation impossible? A team...Ch. 21 - Prob. 21.25PCh. 21 - A 2.00-mol sample of a diatomic ideal gas expands...Ch. 21 - During the compression stroke of a certain...Ch. 21 - How much work is required to compress 5.00 mol of...Ch. 21 - Air in a thundercloud expands as it rises. If its...Ch. 21 - Why is the following situation impossible? A new...Ch. 21 - During the power stroke in a four-stroke...Ch. 21 - Air (a diatomic ideal gas) at 27.0C and...Ch. 21 - A 4.00-L sample of a diatomic ideal gas with...Ch. 21 - Prob. 21.34PCh. 21 - Prob. 21.35PCh. 21 - Fifteen identical particles have various speeds:...Ch. 21 - Prob. 21.37PCh. 21 - Prob. 21.38PCh. 21 - Prob. 21.39PCh. 21 - Consider a container of nitrogen gas molecules at...Ch. 21 - Prob. 21.41PCh. 21 - Prob. 21.42PCh. 21 - The law of atmospheres states that the number...Ch. 21 - Prob. 21.44APCh. 21 - Prob. 21.45APCh. 21 - The dimensions of a classroom are 4.20 m 3.00 m ...Ch. 21 - The Earths atmosphere consists primarily of oxygen...Ch. 21 - Prob. 21.48APCh. 21 - An air rifle shoots a lead pellet by allowing high...Ch. 21 - Prob. 21.50APCh. 21 - A certain ideal gas has a molar specific heat of...Ch. 21 - Prob. 21.52APCh. 21 - Review. Oxygen at pressures much greater than 1...Ch. 21 - Prob. 21.54APCh. 21 - Model air as a diatomic ideal gas with M = 28.9...Ch. 21 - Review. As a sound wave passes through a gas, the...Ch. 21 - Prob. 21.57APCh. 21 - In a cylinder, a sample of an ideal gas with...Ch. 21 - As a 1.00-mol sample of a monatomic ideal gas...Ch. 21 - A sample consists of an amount n in moles of a...Ch. 21 - Prob. 21.61APCh. 21 - A vessel contains 1.00 104 oxygen molecules at...Ch. 21 - A pitcher throws a 0.142-kg baseball at 47.2 m/s....Ch. 21 - The latent heat of vaporization for water at room...Ch. 21 - A sample of a monatomic ideal gas occupies 5.00 L...Ch. 21 - Prob. 21.66APCh. 21 - Prob. 21.67APCh. 21 - Prob. 21.68APCh. 21 - Prob. 21.69APCh. 21 - On the PV diagram for an ideal gas, one isothermal...Ch. 21 - Prob. 21.71APCh. 21 - Review, (a) H it has enough kinetic energy, a...Ch. 21 - Prob. 21.73APCh. 21 - Prob. 21.74CPCh. 21 - A cylinder is closed at both ends and has...
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- One of a dilute diatomic gas occupying a volume of 10.00 L expands against a constant pressure of 2.000 atm when it is slowly heated. If the temperature of the gas rises by 10.00 K and 400.0 J of heat are added in the process, what is its final volume?arrow_forwardAn ideal gas initially at 300 K undergoes an isobaric expansion at 2.50 kPa. If the volume increases from 1.00 m3 to 3.00 m3 and 12.5 kJ is transferred to the gas by heat, what are (a) the change in its internal energy and (b) its final temperature?arrow_forwardCylinder A contains oxygen (O2) gas, and cylinder B contains nitrogen (N2) gas. If the molecules in the two cylinders have the same rms speeds, which of the following statements is false? (a) The two gases haw different temperatures. (b) The temperature of cylinder B is less than the temperature of cylinder A. (c) The temperature of cylinder B is greater than the temperature of cylinder A. (d) The average kinetic energy of the nitrogen molecules is less than the average kinetic energy of the oxygen molecules.arrow_forward
- A gas is at 200 K. If we wish to double the rms speed of the molecules of the gas, to what value must we raise its temperature? (a) 283 K (b) 400 K (c) 566 K (d) 800 K (e) 1 130 Karrow_forwardA 1.00-mol sample of hydrogen gas is heated at constant pressure from 300 K to 420 K. Calculate (a) the energy transferred to the gas by heat, (b) the increase in its internal energy, and (c) the work done on the gas.arrow_forwardWhat is the internal energy of 6.00 mol of an ideal monatomic gas at 200 ?arrow_forward
- If you have 4 moles of a diatomic ideal gas, how much heat is required to raise the temperature of this gas from 269.6K to 288.3K if the volume of the gas remains constant during the heating?arrow_forwardA sealed container contains a fixed volume of a monatomic ideal gas. If the gas temperature is increased by a factor of two, what is ratio of the final to the initial pressure, average molecular kinetic energy, root-mean-square speed, and internal energy?arrow_forwardA 3.65-mol sample of an ideal diatomic gas expands adiabatically from a volume of 0.1210 m3 to 0.750 m3. Initially the pressure was 1.00 atm. Determine: (a) the initial and final temperatures; (b) the change in internal energy; (c) the heat lost by the gas; (d) the work done on the gas. (Assume no molecular vibration.)arrow_forward
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