Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Chapter 20, Problem 45P
To determine
To generate:
the table for 8 molecules.
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49. (11) We saw in Example 18-8 that the mean free path &M of air molecules at STP is about 9 x 108 m. Estimate the collision frequency f, the number of collisions per unit time.
(a) Compute the rms speed of a nitrogen molecule at 20.0C.The molar mass of nitrogen molecules (N2) is given in Table 19-1.At what temperatures will the rms speed be (b) half that value and(c) twice that value?
Chapter 20 Solutions
Fundamentals of Physics Extended
Ch. 20 - Point i in Fig. 20-19 represents the initial state...Ch. 20 - In lour experiments, blocks A and B, starting ill...Ch. 20 - A gas, confined to an insulated cylinder, is...Ch. 20 - An ideal monatomic gas at initial temperature T0...Ch. 20 - In four experiments, 2.5 mol of hydrogen gas...Ch. 20 - A box contains 100 atoms in a configuration that...Ch. 20 - Does the entropy per cycle increase, decrease, or...Ch. 20 - Three Carnot engines operate between temperature...Ch. 20 - An inventor claims to have invented four engines,...Ch. 20 - Does the entropy per cycle increase, decrease, or...
Ch. 20 - SSM Suppose 4.00 mol of an ideal gas undergoes a...Ch. 20 - An ideal gas undergoes a reversible isothermal...Ch. 20 - ILW A 2.50 mol sample of an ideal gas expands...Ch. 20 - How much energy must be transferred as heat for a...Ch. 20 - ILW Find a the energy absorbed as heat and b the...Ch. 20 - a What is the entropy change of a 12.0 g ice cube...Ch. 20 - ILW A 50.0 g block of copper whose temperature is...Ch. 20 - At very low temperatures, the molar specific heat...Ch. 20 - A 10 g ice cube at 10oC is placed in a lake whose...Ch. 20 - A 364 g block is put in contact with a thermal...Ch. 20 - SSM WWW In an experiment, 200 g of aluminum with a...Ch. 20 - A gas sample undergoes a reversible isothermal...Ch. 20 - In the irreversible process of Fig. 20-5, let the...Ch. 20 - Prob. 14PCh. 20 - A mixture of 1773 g of water and 227 g of ice is...Ch. 20 - GO An 8.0 g ice cube at -10C is put into a Thermos...Ch. 20 - Prob. 17PCh. 20 - GO A 2.0 mol sample of an ideal monatomic gas...Ch. 20 - Suppose 1.00 mol of a monatomic ideal gas is taken...Ch. 20 - Expand 1.00 mol of an monatomic gas initially at...Ch. 20 - GO Energy can be removed from water as heat at and...Ch. 20 - GO An insulated Thermos contains 130 g of water at...Ch. 20 - A Carnot engine whose low-temperature reservoir is...Ch. 20 - A Carnot engine absorbs 52 kJ as heat and exhausts...Ch. 20 - A Carnot engine has an efficiency of 22.0. It...Ch. 20 - In a hypothetical nuclear fusion reactor, the fuel...Ch. 20 - SSM WWW A Carnot engine operates between 235C and...Ch. 20 - In the first stage of a two-stage Carnot engine,...Ch. 20 - GO Figure 20-27 shows a reversible cycle through...Ch. 20 - A 500 W Carnot engine operates between...Ch. 20 - The efficiency of a particular car engine is 25...Ch. 20 - GO A Carnot engine is set up to produce a certain...Ch. 20 - SSM ILW Figure 20-29 shows a reversible cycle...Ch. 20 - GO An ideal gas 1.0 mol is the working substance...Ch. 20 - The cycle in Fig. 20-31 represents the operation...Ch. 20 - How much work must be done by a Carnot...Ch. 20 - SSM A heat pump is used to heal a building, The...Ch. 20 - The electric motor of a heat pump transfers energy...Ch. 20 - SSM A Carnot air conditioner lakes energy from the...Ch. 20 - To make ice, a freezer that is a reverse Carnot...Ch. 20 - ILW An air conditioner operating between 93F and...Ch. 20 - The motor in a refrigerator has a power of 200 W....Ch. 20 - GO Figure 20-32 represents a Carnot engine that...Ch. 20 - a During each cycle, a Carnot engine absorbs 750 J...Ch. 20 - Prob. 45PCh. 20 - A box contains N identical gas molecules equally...Ch. 20 - SSM WWW A box contains N gas molecules, Consider...Ch. 20 - Four particles are in the insulated box of Fig....Ch. 20 - A cylindrical copper rod of length 1.50 m and...Ch. 20 - Suppose 0.550 mol of an ideal gas is isothermally...Ch. 20 - Prob. 51PCh. 20 - Suppose 1.0 mol of a monatomic ideal gas initially...Ch. 20 - GO Suppose that a deep shaft were drilled in...Ch. 20 - What is the entropy change for 3.20 mol of an...Ch. 20 - A 600 g lump of copper at 80.0C is placed in 70.0...Ch. 20 - Figure 20-33 gives the force magnitude F versus...Ch. 20 - The temperature of 1.00 mol of a monatomic ideal...Ch. 20 - Repeat Problem 57, with the pressure now kept...Ch. 20 - SSM A 0.600 kg sample of water is initially ice at...Ch. 20 - A three-step cycle is undergone by 3.4 mol of an...Ch. 20 - An inventor has built an engine X and claims that...Ch. 20 - Suppose 2.00 mol of a diatomic gas is taken...Ch. 20 - A three-step cycle is undergone reversibly by 4.00...Ch. 20 - a A Carnot engine operates between a hot reservoir...Ch. 20 - A 2.00 mol diatomic gas initially at 300 K...Ch. 20 - An ideal refrigerator does 150 J of work to remove...Ch. 20 - Suppose that 260 J is conducted from a...Ch. 20 - An apparatus that liquefies helium is in a room...Ch. 20 - GO A brass rod is in thermal contact with a...Ch. 20 - A 45.0 g block of tungsten at 30.0C and a 25.0 g...Ch. 20 - Prob. 71PCh. 20 - Calculate the efficiency of a fossil-fuel power...Ch. 20 - SSM A Carnot refrigerator extracts 35.0 kJ as heat...Ch. 20 - A Carnot engine whose high-temperature reservoir...Ch. 20 - SSM System A of three particles and system B of...Ch. 20 - Figure 20-36 shows a Carnot cycle on a T-S...Ch. 20 - Find the relation between the efficiency of a...Ch. 20 - A Carnot engine has a power of 500 W. It operates...Ch. 20 - In a real refrigerator, the low-temperature coils...
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- Consider the Maxwell-Boltzmann distribution function plotted in Problem 28. For those parameters, determine the rms velocity and the most probable speed, as well as the values of f(v) for each of these values. Compare these values with the graph in Problem 28. 28. Plot the Maxwell-Boltzmann distribution function for a gas composed of nitrogen molecules (N2) at a temperature of 295 K. Identify the points on the curve that have a value of half the maximum value. Estimate these speeds, which represent the range of speeds most of the molecules are likely to have. The mass of a nitrogen molecule is 4.68 1026 kg. Equation 20.18 can be used to find the rms velocity given the temperature, Boltzmanns constant, and the mass of the atom or molecule. The mass of a nitrogen molecule is 4.68 1026 kg. vrms=3kBTm=3(1.381023J/K)4.681026kg=511m/s Using the results of Problem 28 and the rms velocity, we can calculate the value of f(v). f(vrms) = (3.11 108)(511)2 e(5.75106(511)2) = 0.00181 The most probable speed, for which this function has its maximum value, is given by Equation 20.20. vmp=2kBTm=2(1.381023J/K)(295K)4.681026kg=417m/s f(vmp) = (3.11108)(417)2 e(5.75106(417)2) = 0.00199 We plot these points on the speed distribution. The most probable speed is indeed at the peak of the distribution function. Since the function is not symmetric, the rms velocity is somewhat higher than the most probable speed. Figure P20.29ANSarrow_forwardFind (a) the most probable speed, (b) the average speed, and (c) the rms speed for nitrogen molecules at 295 K.arrow_forwardDetermine the average value of the translational kinetic energy of the molecules of an ideal gas at temperatures (a) 0.00C and (b) 100C.What is the translational kinetic energy per mole of an ideal gas at (c) 0.00C and (d) 100C?arrow_forward
- 3. In Section 18-1 we assumed the gas molecules made perfectly elastic collisions with the walls of the container. This assumption is not necessary as long as the walls are at the same temperature as the gas. Why?arrow_forwardWhat is the average translational kinetic energy of an ideal-gas molecule at 27C? (b) What is the total random translational kinetic energy of the molecules in 1 mole of this gas? (c) What is the rms speed of oxygen molecules at this temperature?arrow_forwardIf you double the typical speed of the molecules in a gas, by what factor does the pressure change? Give a simple explanation why the pressure changes by this factor.arrow_forward
- The most probable speed for molecules of a gas at 296 K is 263 m/s. What is the molar mass of the gas? (You might like to figure out what the gas is likely to be.)arrow_forwardASAParrow_forwarda) Estimate the average spacing between the molecules of 1 mol of an ideal gas at a pressure of 1atm and a temperature of 300 K. b) 1 mol of liquid water occupies a volume of 18 cm. Estimate the spacing between molecules. c) Use your result from part (a) to estimate the diameter of a water molecule. d) Estimate the factor by which water expands when it boilsarrow_forward
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