Chemistry: Structure and Properties (2nd Edition)
2nd Edition
ISBN: 9780134293936
Author: Nivaldo J. Tro
Publisher: PEARSON
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Chapter 2, Problem 98E
Water is exposed to infrared radiation of wavelength
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Water is exposed to infrared radiation of wavelength 2.8×10−4 cm . Assume that all the radiation is absorbed and converted to heat.
How many photons will be required to raise the temperature of 2.1 g of water by 2.3 K ?
Express your answer using two significant figures.
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Suppose an oven's radiation wavelength is 0.125 m. A container with 175.00 g of water was placed in the oven, and the temperature of
the water rose from 20.0°C to 80.0°C. How many photons of this microwave radiation were required to heat the water? (Assume that
all the energy from the radiation was used to raise the temperature of the water.)
28
x 3.49
х 10
photons
Water is exposed to infrared radiation of wavelength 2.9×10−4 cm . Assume that all the radiation is absorbed and converted to heat. How many photons will be required to raise the temperature of 2.0 gg of water by 1.9 K ?
Chapter 2 Solutions
Chemistry: Structure and Properties (2nd Edition)
Ch. 2 - Why is the quantum-mechanical model of the atom...Ch. 2 - What is light? How fast does it travel in a...Ch. 2 - Define the wavelength and amplitude of a wave.Ch. 2 - Define the frequency of electromagnetic radiation....Ch. 2 - What determines the color of light? Describe the...Ch. 2 - What determines the color of a colored object?...Ch. 2 - Give an approximate range of wavelengths for each...Ch. 2 - Explain the wave behavior known as interference....Ch. 2 - Explain the wave behavior known as diffraction....Ch. 2 - Describe the photoelectric effect. How did...
Ch. 2 - How did the photoelectric effect lead Einstein to...Ch. 2 - What is a photon? How is the energy of a photon...Ch. 2 - What is an emission spectrum? How does an emission...Ch. 2 - Describe the Bohr model for the atom. How did the...Ch. 2 - Explain electron diffraction.Ch. 2 - What is the de Broglie wavelength of an electron?...Ch. 2 - What are complementary properties? How does...Ch. 2 - Explain Heisenberg’s uncertainty principle. What...Ch. 2 - What is a trajectory? What kind of information do...Ch. 2 - Why does the uncertainty principle make it...Ch. 2 - Newton’s laws of motion are deterministic. Explain...Ch. 2 - An electron behaves in ways that are at least...Ch. 2 - What is a probability distribution map?Ch. 2 - For each solution to the Schrödinger equation,...Ch. 2 - What is a quantum-mechanical orbital?Ch. 2 - What is the Schrödinger equation? What is a wave...Ch. 2 - What are the possible values of the principal...Ch. 2 - What are the possible values of the angular...Ch. 2 - What are the possible values of the magnetic...Ch. 2 - Explain the difference between a plot showing the...Ch. 2 - Sketch the general shapes of the s, p, and d...Ch. 2 - List the four different sublevels. Given that only...Ch. 2 - Why are atoms usually portrayed as spheres when...Ch. 2 - The distance from the sun to Earth is 1.496108 km....Ch. 2 - The nearest star to our sun is Proxima Centauri,...Ch. 2 - List these types of electromagnetic radiation in...Ch. 2 - List these types of electromagnetic radiation in...Ch. 2 - Calculate the frequency of each wavelength of...Ch. 2 - Calculate the wavelength of each frequency of...Ch. 2 - Calculate the energy of a photon of...Ch. 2 - Calculate the energy of a photon of...Ch. 2 - A laser pulse with wavelength 532 nm contains 3.85...Ch. 2 - A heat lamp produces 32.8 watts of power at a...Ch. 2 - Determine the energy of 1 mol of photons for each...Ch. 2 - How much energy is contained in 1 mol of each?...Ch. 2 - Sketch the interference pattern that results from...Ch. 2 - What happens to the interference pattern described...Ch. 2 - The resolution limit of a microscope is roughly...Ch. 2 - The smallest atoms can themselves exhibit...Ch. 2 - What is the de Broglie wavelength of an electron...Ch. 2 - A proton in a linear accelerator has a de Broglie...Ch. 2 - Prob. 53ECh. 2 - A 0.22-caliber handgun fires a 27-g bullet at a...Ch. 2 - An electron has an uncertainty in its position of...Ch. 2 - An electron traveling at [1.35 \times {10^5}\] m/s...Ch. 2 - Which electron is, on average, closer to the...Ch. 2 - Which electron is, on average, further from the...Ch. 2 - What are the possible values of I for each given...Ch. 2 - What are the possible values of m1 for each given...Ch. 2 - Which set of quantum numbers cannot occur together...Ch. 2 - Which combinations of n and I represent real...Ch. 2 - Prob. 63ECh. 2 - Sketch the 3d orbitals. How do the 4d orbitals...Ch. 2 - An electron in a hydrogen atom is excited with...Ch. 2 - Determine whether each transition in the hydrogen...Ch. 2 - According to the quantum-mechanical model for the...Ch. 2 - According to the quantum-mechanical model for the...Ch. 2 - Calculate the wavelength of the light emitted when...Ch. 2 - Calculate the frequency of the light emitted when...Ch. 2 - Prob. 71ECh. 2 - An electron in a hydrogen atom relaxes to the [n =...Ch. 2 - Ultraviolet radiation and radiation of shorter...Ch. 2 - The human eye contains a molecule called...Ch. 2 - An argon ion laser puts out 5.0 W of continuous...Ch. 2 - A green leaf has a surface area of 2.50 cm2. If...Ch. 2 - Prob. 77ECh. 2 - An X-ray photon of wavelength 0.989 nm strikes a...Ch. 2 - Prob. 79ECh. 2 - The energy required to ionize sodium is 496...Ch. 2 - Prob. 81ECh. 2 - Suppose that, in an alternate universe, the...Ch. 2 - Prob. 83ECh. 2 - Prob. 84ECh. 2 - The binding energy of electrons in a metal is 193...Ch. 2 - In order for a thermonuclear fusion reaction of...Ch. 2 - Prob. 87ECh. 2 - Prob. 88ECh. 2 - The iodine molecule can be photodissociated...Ch. 2 - A sample of naphthalene in hexane contains 5.00104...Ch. 2 - Prob. 91ECh. 2 - Prob. 92ECh. 2 - Prob. 93ECh. 2 - The energy of a vibrating molecule is quantized...Ch. 2 - The wave functions for the 1s and 2s orbitals are...Ch. 2 - Before quantum mechanics was developed, Johannes...Ch. 2 - Find the velocity of an electron emitted by a...Ch. 2 - Water is exposed to infrared radiation of...Ch. 2 - Prob. 99ECh. 2 - A metal with a threshold frequency of 6.711014s1...Ch. 2 - Find the longest wavelength of a wave that can...Ch. 2 - The amount of heat to melt ice is 0.333 kJ/g. Find...Ch. 2 - Explain the difference between the Bohr model for...Ch. 2 - The light emitted from one of the following...Ch. 2 - Determine whether an interference pattern is...Ch. 2 - Which transition in the hydrogen atom results in...Ch. 2 - Discuss the nature of light with your group....Ch. 2 - How are electrons like baseballs? How are they...Ch. 2 - What are all the possible values of m1 if l = 0...Ch. 2 - Have each group member choose a set of quantum...Ch. 2 - How many nodes are there in the 1s, 2p, and 3d...Ch. 2 - Sunscreen contains compounds that absorb...Ch. 2 - Which wavelength of light has the highest...Ch. 2 - Which kind of electromagnetic radiation contains...Ch. 2 - How much energy (in J ) is contained in 1.00 mole...Ch. 2 - Light from three different lasers (A, B, and C),...Ch. 2 - Calculate the wavelength of an electron traveling...Ch. 2 - Which set of three quantum numbers does not...Ch. 2 - Calculate the wavelength of light emitted when an...Ch. 2 - Which electron transition produces light of the...Ch. 2 - How much time (in seconds) does it take light to...Ch. 2 - Which figure represents a d orbital? None of the...
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- Ozone in the stratosphere absorbs ultraviolet light of wavelengths shorter than 320 nm, thus filtering out the most energetic radiation from sunlight. During this absorption, an ozone molecule absorbs a photon, which breaks an oxygen-oxygen bond, yielding an oxygen molecule and an oxygen atom: O3(g)+hvO2(g)+O(g) (Here, hv denotes a photon.) Suppose a flask of ozone is irradiated with a pulse of UV light of wavelength 275 nm. Assuming that each photon of this pulse that is absorbed breaks up one ozone molecule, calculate the energy absorbed per mole of O2 produced, giving the answer in kJ/mol.arrow_forwardDoes the main emission line for SrCl2 have a longer or shorter wavelength than that of the yellow line from NaCI?arrow_forward6.17 The laser in most supermarket barcode scanners operates at a wavelength of 632.8 nm. What is the energy of a single photon emitted by such a laser? What is the energy of one mole of these photons?arrow_forward
- A container with 0.2450.245 L of water is placed in a microwave and radiated with electromagnetic energy with a wavelength of 10.510.5 cm. The temperature of the water rose by 69.969.9 °C. Calculate the number of photons that were absorbed by the water. Assume water has a density of 1.00 g⋅mL−11.00 g·mL−1 and a specific heat of 4.184 J⋅g−1⋅°C−14.184 J·g−1·°C−1. number of photons =__________________________________photonsarrow_forwardPlease answer question 18 Part Aarrow_forwardMicrowave ovens use microwave radiation to heat food. The energy of the microves is absorbed by water molecules in the food and then transferred to the rest of the food. Suppose the microwave radiation has a wavelength of 11.2 cm. How many photons are required to heat 2.00 102 mL of coffee from 23 to 60 oC? If the power of the microwave is 9.00 102 W (1 Watt = 1 Joule/second), how long would you have to heat the coffee?arrow_forward
- A liquid is exposed to infrared radiation with a wavelength of 2.74 x 104 cm. Assume that all the radiation is absorbed and converted to heat. How many photons are required for the liquid to absorb 39.52 J of heat?arrow_forwardAn x-ray has a wavelength of 6.88 nm. Calculate the energy of one mole of photons of this radiation in MJ (megajoules).arrow_forwarda liquid is exposed to infrared radiation with a wavelength of 6x10^-4 cm. assume that all radiation is absorbed and converted to heat. how many photons are required for the liquid to absorb 17.22 j of heat.arrow_forward
- Water (c = 4.184 J/g×oC) is exposed to infrared radiation of wavelength 2.8 × 10−4 cm. Assume that all the radiation is absorbed and converted to heat. How many photons will be required to raise the temperature of 2.0 g of water by 2.0 K?arrow_forwardIn photoelectron spectroscopy, an electron is ejected from an atom by the collision of a UV photon with the surface of the atom. The equation describing this reaction is similar to the photoelectric effect described by Einstein: hv = ½ mv + Ei, where E; is the ionization energy of the atom. In one experiment on potassium, the kinetic energy of the ejected electron was 5.34 x 10ºJ when the UV source had a wavelength of 162 nm. Calculate the ionization energy of potassium. -19arrow_forward5. The minimum energy needed to break an oxygen-oxygen bond in ozone is 387 kJ/mol. Does a photon with a frequency of 4.84 x 10¹5 s have enough energy to break the bond? Support your answer with a calculation.arrow_forward
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