Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 24, Problem 58P
(a)
To determine
The equilibrium ratio of the population of states.
(b)
To determine
The value of temperature.
(c)
To determine
The reason for which this type of situation is not occurs naturally.
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The number N of atoms in a particular state is called the population of that state. This number depends on the energy of that state and the temperature. In thermal equilibrium,the population of atoms in a state of energy En is given by a Boltzmann distribution expression N = Nge-(En-Eg)/kBTwhere Ng is the population of the ground state of energy Eg , kB is Boltzmann’s constant, and T is the absolute temperature. For simplicity, assume each energy level has only one quantum state associated with it. (a) Before the power is switched on, the neon atoms in a laser are in thermal equilibrium at 27.0°C. Find the equilibrium ratio of the populationsof the states E4* and E3 shown for the red transition in the figure. Lasers operate by a clever artificial production of a “population inversion” between the upper and lower atomic energy states involved in the lasing transition. This term means that more atoms are in the upper excitedstate than in the lower one.…
A bag of frozen vegetables with temperature 32◦F is placed in a 75◦F room. After 20 minutes, the temperature of the vegetables has risen to 41◦F. Using this information, find an exponential formula for the temperature of the vegetables where time is measured in minutes. To find the exponential formula, transform the temperature into a new variable for which the problem can be solved as an exponential growth/decay problem. Then find the formula in that variable and transform back to temperature. Based on the formula, what is the temperature of the vegetables after 45 minutes?
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Chapter 24 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 24.1 - Prob. 24.1QQCh. 24.4 - Prob. 24.2QQCh. 24.4 - Prob. 24.3QQCh. 24.4 - Prob. 24.4QQCh. 24.6 - Prob. 24.5QQCh. 24.6 - Prob. 24.6QQCh. 24.7 - Prob. 24.7QQCh. 24 - Prob. 1OQCh. 24 - Prob. 2OQCh. 24 - Prob. 3OQ
Ch. 24 - If plane polarized light is sent through two...Ch. 24 - Prob. 5OQCh. 24 - Prob. 6OQCh. 24 - Prob. 7OQCh. 24 - Prob. 9OQCh. 24 - Prob. 10OQCh. 24 - Prob. 11OQCh. 24 - Consider an electromagnetic wave traveling in the...Ch. 24 - Prob. 1CQCh. 24 - Prob. 2CQCh. 24 - Prob. 3CQCh. 24 - Prob. 4CQCh. 24 - Prob. 5CQCh. 24 - Prob. 6CQCh. 24 - Prob. 7CQCh. 24 - Prob. 8CQCh. 24 - Prob. 9CQCh. 24 - Prob. 10CQCh. 24 - Prob. 11CQCh. 24 - Prob. 12CQCh. 24 - Prob. 1PCh. 24 - Prob. 2PCh. 24 - Prob. 3PCh. 24 - A 1.05-H inductor is connected in series with a...Ch. 24 - Prob. 5PCh. 24 - Prob. 6PCh. 24 - Prob. 7PCh. 24 - An electron moves through a uniform electric field...Ch. 24 - Prob. 9PCh. 24 - Prob. 10PCh. 24 - Prob. 11PCh. 24 - Prob. 12PCh. 24 - Figure P24.13 shows a plane electromagnetic...Ch. 24 - Prob. 14PCh. 24 - Review. A microwave oven is powered by a...Ch. 24 - Prob. 16PCh. 24 - A physicist drives through a stop light. When he...Ch. 24 - Prob. 18PCh. 24 - Prob. 19PCh. 24 - A light source recedes from an observer with a...Ch. 24 - Prob. 21PCh. 24 - Prob. 22PCh. 24 - Prob. 23PCh. 24 - Prob. 24PCh. 24 - Prob. 25PCh. 24 - Prob. 26PCh. 24 - Prob. 27PCh. 24 - Prob. 28PCh. 24 - Prob. 29PCh. 24 - Prob. 30PCh. 24 - Prob. 31PCh. 24 - Prob. 32PCh. 24 - Prob. 33PCh. 24 - Prob. 34PCh. 24 - Prob. 35PCh. 24 - Prob. 36PCh. 24 - Prob. 37PCh. 24 - Prob. 38PCh. 24 - Prob. 39PCh. 24 - Prob. 40PCh. 24 - Prob. 41PCh. 24 - Prob. 42PCh. 24 - Prob. 43PCh. 24 - Prob. 44PCh. 24 - Prob. 45PCh. 24 - Prob. 46PCh. 24 - Prob. 47PCh. 24 - Prob. 48PCh. 24 - You use a sequence of ideal polarizing filters,...Ch. 24 - Prob. 50PCh. 24 - Prob. 51PCh. 24 - Figure P24.52 shows portions of the energy-level...Ch. 24 - Prob. 53PCh. 24 - Prob. 54PCh. 24 - Prob. 55PCh. 24 - Prob. 56PCh. 24 - Prob. 57PCh. 24 - Prob. 58PCh. 24 - Prob. 59PCh. 24 - Prob. 60PCh. 24 - Prob. 61PCh. 24 - Prob. 62PCh. 24 - A dish antenna having a diameter of 20.0 m...Ch. 24 - Prob. 65PCh. 24 - Prob. 66PCh. 24 - Prob. 67PCh. 24 - Prob. 68PCh. 24 - Prob. 69PCh. 24 - Prob. 70PCh. 24 - Prob. 71PCh. 24 - A microwave source produces pulses of 20.0-GHz...Ch. 24 - A linearly polarized microwave of wavelength 1.50...Ch. 24 - Prob. 74PCh. 24 - Prob. 75P
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- At 22.0C, the radius of a solid aluminum sphere is 7.00 cm. a. At what temperature will the volume of the sphere have increased by 3.00%? b. What is the increase in the spheres radius if it is heated to 250C? Assume = 22.2 106 K1 and = 66.6 106 K1.arrow_forwardAn Isotope Separator. Hydrogen has three isotopes 'H (m1 = mp),arrow_forwardAccording to the Ideal Gas Law, PV = kT, where P is pressure, V is volume, T is temperature (in kelvins), and k is a constant of proportionality. A tank contains 400 cubic inches of nitrogen at a pressure of 130 pounds per square inch and a temperature of 300 K. (a) Determine k.k = (b) Write P as a function of V and T and describe the level curves.P = (c) Setting P = c, the level curves are of the form V =arrow_forwardIn a certain physical system, there are two energy states available to a particle: the ground state with energy E₁ = 0 eV, and the excited state with energy E₂ = 1.5 eV. The system is in thermal equilibrium at a temperature T = 300 K. Calculate the Gibbs factor (also known as the Boltzmann factor) for the excited state . Give your answer to two decimal places.arrow_forwardAn expensive vacuum system can achieve a pressure as low as 1.00 x 10-7 N/m² at 25.5 °C. How many atoms N are there in a cubic centimeter at this pressure and temperature? The Boltzmann constant k = 1.38 x 10-23 J/K. N = atomsarrow_forwardQ1/ If H = U + PV, find the relations between G and FH.arrow_forwardProblem 1: How long does it take to heat a cup of coffee in a 1000-Watt microwave oven? This means that energy is used at the rate of 1000 Joules per second. Assume that the coffee starts at a normal room temperature of 25°C. Step 1: Guess an answer. Step 2: Estimate the volume of the coffee in mL and the final temperature that you want to attain. Step 3: Assume coffee has the same density and thermal properties of water. Find its heat capacity (specific heat times mass) in appropriate units. Step 4: Use the heat capacity and the desired temperature change to find the energy required. Step 5: Calculate the time required using the energy and the microwave power. Pay attention to units and use Power = Energy/time. Step 5: Is your answer reasonable?arrow_forwardAccording to the Ideal Gas Law, PV = kT, where P is pressure, Vis volume, T is temperature (in Kelvins), and k is a constant of proportionality. A tank contains 2000 cubic inches of nitrogen at a pressure of 26 pounds per square inch and a temperature of 600 K. Determine the EXACT value of k.arrow_forwardThese two questions relate to the Boltzmann Equation. A gas of neutral hydrogen atoms in local thermodynamical equilibrium has 1/3 more atoms in the energy level n = 1 than in the n = 2 state. Calculate the temperature of that gas. For a gas of neutral hydrogen atoms make a graph that shows the ratios N2/N1, N3/N1, N4/N1 as a function of T.arrow_forwardThe table shows the number of video games sold worldwide for the five highest-selling video games in 2010. Assuming this trend continues and that the total sales of all other video games is negligible, if a person chooses to purchase one of these video games, determine the empirical probability that the person will purchase a) Game 2. b) Game 5. c) Game 1. a) P(Game 2) = b) P(Game 5) = c) P(Game 1) = Game Game 1 Game 2 Game 3 Game 4 Game 5 Total (Type an integer or a simplified fraction.) (Type an integer or a simplified fraction.) (Type an integer or a simplified fraction.) Games Sold 18,970,000 17,630,000 11,480,000 11,210,000 9,000,000 68,290,000arrow_forwardThe average life expectancy in Japan is 81 years. What is this time in SI units?arrow_forward(a) Suppose that a person has an average heart rate of 72.0 beats/mm. How many beats does he or she have in 2.0 years? (b) In 2.00 years? (c) In 2.000 years?arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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