EP PHYSICS F/SCI.+ENGR.W/MOD..-MOD MAST
4th Edition
ISBN: 9780133899634
Author: GIANCOLI
Publisher: PEARSON CO
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The sun produces energy via nuclear fusion at the rate of 4×1026 J/s . Based on the proposed overall fusion equation, how long will the sunshine in years before it exhausts its hydrogen fuel? (Assume that there are 365 days in the average year.)
Recall that the solar constant-the flux of solar energy reaching Earth's vicinity- is about 1390 W/m^2.
) (The distance from the sun = 1 AU
= 1.50×10¹¹ m.) The Sun's energy originates from a chain of fusion reactions; each reaction chain releases 26.7 MeV of mass energy.
At what rate does the Sun lose mass? Express the result in kilograms per year.
(in kg/yr)
A: 5.379x10¹6 B: 6.294x1016 oC: 7.364x10¹6 D: 8.616x1016 E: 1.008x1017 OF: 1.179x1017 G: 1.380x10¹7 H: 1.614x1017
How much energy (in x 1016 Joule) does the Sun burn 1 kg of hydrogen fuel in a nuclear reaction?
Chapter 42 Solutions
EP PHYSICS F/SCI.+ENGR.W/MOD..-MOD MAST
Ch. 42.1 - Prob. 1AECh. 42.3 - Prob. 1BECh. 42.4 - Return to the first Chapter-Opening Question, page...Ch. 42.4 - Prob. 1DECh. 42.6 - Prob. 1EECh. 42 - Prob. 1QCh. 42 - Prob. 2QCh. 42 - Prob. 3QCh. 42 - Why are neutrons such good projectiles for...Ch. 42 - Prob. 5Q
Ch. 42 - Prob. 6QCh. 42 - Prob. 7QCh. 42 - Prob. 8QCh. 42 - Prob. 9QCh. 42 - Prob. 10QCh. 42 - Prob. 11QCh. 42 - Why would a porous block of uranium be more likely...Ch. 42 - Prob. 13QCh. 42 - Prob. 14QCh. 42 - Prob. 15QCh. 42 - Prob. 16QCh. 42 - Prob. 17QCh. 42 - Prob. 18QCh. 42 - Prob. 19QCh. 42 - Prob. 20QCh. 42 - Prob. 21QCh. 42 - Prob. 22QCh. 42 - Prob. 23QCh. 42 - Prob. 24QCh. 42 - Prob. 25QCh. 42 - How might radioactive tracers be used to find a...Ch. 42 - Prob. 1PCh. 42 - Prob. 2PCh. 42 - Prob. 3PCh. 42 - Prob. 4PCh. 42 - Prob. 5PCh. 42 - Prob. 6PCh. 42 - Prob. 7PCh. 42 - Prob. 8PCh. 42 - Prob. 9PCh. 42 - Prob. 10PCh. 42 - Prob. 11PCh. 42 - Prob. 12PCh. 42 - Prob. 13PCh. 42 - Prob. 14PCh. 42 - Prob. 15PCh. 42 - Prob. 16PCh. 42 - Prob. 17PCh. 42 - Prob. 18PCh. 42 - (I) What is the effective cross section for the...Ch. 42 - Prob. 20PCh. 42 - Prob. 21PCh. 42 - Prob. 22PCh. 42 - Prob. 23PCh. 42 - Prob. 24PCh. 42 - Prob. 25PCh. 42 - Prob. 26PCh. 42 - Prob. 27PCh. 42 - Prob. 28PCh. 42 - Prob. 29PCh. 42 - Prob. 30PCh. 42 - Prob. 31PCh. 42 - Prob. 32PCh. 42 - Prob. 33PCh. 42 - Prob. 34PCh. 42 - Prob. 35PCh. 42 - Prob. 36PCh. 42 - Prob. 37PCh. 42 - Prob. 38PCh. 42 - Prob. 39PCh. 42 - Prob. 40PCh. 42 - Prob. 41PCh. 42 - Prob. 42PCh. 42 - Prob. 43PCh. 42 - Prob. 44PCh. 42 - Prob. 45PCh. 42 - Prob. 46PCh. 42 - Prob. 47PCh. 42 - Prob. 48PCh. 42 - Prob. 49PCh. 42 - Prob. 50PCh. 42 - Prob. 51PCh. 42 - Prob. 52PCh. 42 - Prob. 53PCh. 42 - Prob. 54PCh. 42 - Prob. 55PCh. 42 - Prob. 56PCh. 42 - Prob. 57PCh. 42 - Prob. 58PCh. 42 - Prob. 59PCh. 42 - Prob. 60PCh. 42 - Prob. 61PCh. 42 - Prob. 62PCh. 42 - Prob. 63PCh. 42 - Prob. 64PCh. 42 - Prob. 65GPCh. 42 - Prob. 66GPCh. 42 - Prob. 67GPCh. 42 - Prob. 68GPCh. 42 - Prob. 69GPCh. 42 - Prob. 70GPCh. 42 - Prob. 71GPCh. 42 - Prob. 72GPCh. 42 - Prob. 73GPCh. 42 - Prob. 74GPCh. 42 - Prob. 75GPCh. 42 - Prob. 76GPCh. 42 - Prob. 77GPCh. 42 - Prob. 78GPCh. 42 - Prob. 79GPCh. 42 - Prob. 80GPCh. 42 - Prob. 81GPCh. 42 - Prob. 82GPCh. 42 - Prob. 83GPCh. 42 - Prob. 84GPCh. 42 - Prob. 85GPCh. 42 - Prob. 86GPCh. 42 - Prob. 87GPCh. 42 - Prob. 88GP
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- (a) Calculate the rate at which the Sun generates neutrinos. Assume that energy production is entirely by the proton–proton fusion cycle. (b) At what rate do solar neutrinos reach Earth?arrow_forwardRecall that the solar constant – the flux of solar energy reaching Earth's vicinity- is about 1380 W/m^2. distance from the sun = 1 AU = 1.50×10¹1 m.) The Sun's energy originates from a chain of fusion reactions; each reaction chain releases 26.7 MeV of mass energy. At what rate does the Sun lose mass? Express the result in kilograms per year. (in kg/yr) OA: 8.554x1016 OB: 1.001×1017 OC: 1.171×10¹7 OD: OE: 1.370×10¹7 1.603 1017 OF: 1.875×1017 OG: 2.194×10¹7 (The OH: 2.567x1017arrow_forwardB: In a nuclear station, find the power produced by fissioning 5 grams of Thorium fuel (Th232) per one day. Mass number of Thorium is 232. Assume the number of fissions required for watt- second in Th232 is 6.2- 10 10arrow_forward
- The Sun emits 3.839 x 1026 J of energy every second, which is generated from the fusion of hydrogen into helium in its core. Using Einstein's equation E = mc2 (with c = 2.9979 x 108 m/s), determine how much mass the Sun converts to energy every second due to nuclear fusion in its core. If we assume that the Sun has been shining at this same rate through its entire 4.6 billion year history, how much mass has the Sun lost due to nuclear fusion during its lifetime? Express your answer as a fraction of the Sun's current mass (1.9891 x 1030 kg).arrow_forwardThe CNO-IV cycle is a related cycle to the CNO-I cycle but is only seen on massive stars. It starts with an oxygen–18 nuclide and conducts the following steps: a hydrogen fusion with a gamma ray release, a hydrogen fusion with a release of an alpha particle, a hydrogen fusion with a gamma ray release, a positron emission, a hydrogen fusion with a gamma ray release, and a positron emission. Determine the nuclear reactions and draw a cycle that represents the CNO-IV cycle.arrow_forwardThe sun produces energy via nuclear fusion at the rate of 4x10 J/s. Based on the proposed overall fusion equation, how long will the sun shine in years before it exhausts its hydrogen fuel? (Assume that there are 365 days in the average year.) Express your answer to one significant figure and include the appropriate units.arrow_forward
- Energy generation in the Sun arises because hydrogen nuclei fuse to form helium nuclei. Write down the reactions involved in the proton-proton chain. State which reaction in the chain controls the rate at which the full set of reactions proceeds and explain why this is the case. Given that the solar luminosity is L = 3.8 × 1026 W, the combined mass of four protons is 6.690 × 10−27 kg and the mass of one helium nucleus is 6.643 × 10−27 kg, estimate the number of helium nuclei that have been generated inside the Sun over its 4.6 × 109 year life time.arrow_forward1) a) At what rate is the Sun's mass decreasing due to nuclear reactions Am/At? Use E=mc? and Lsun=3.839x1026 W and give your answer in Msun/year. b) And due to solar wind? Calculate the flow using v=500 km/s measured on Earth, n=7x106 particles/m³ and µ=1. c) Assuming that those 2 processes rates remain constant during the Sun's main-sequence life, would either mass loss process significantly affect the total mass of the Sun? Use that the Sun's lifetime in the main-sequence is ~ 1010 years.arrow_forwardThe sun generates its energy through nuclear fusion, making helium from hydrogen. The main process by which this happens, called the proton-proton chain, goes as follows: Two protons come together to create deuterium, a positron, a neutrino, and energy: p + p ⟶ D + e+ + ν + energy The deuterium fuses with another proton to make 3He: D + p ⟶ 3He + energy Fianlly, 4He is produced by fusing two 3He nuclei together: 3He + 3He ⟶ 4He + p + p + energy What is the total energy released during the creation of one 4He nucleus? Give your answer in MeV, and remember that you need to make two 3He nuclei in the process. Be sure to use at least five significant figures for your masses, but your final answer should have three or four sig figs.arrow_forward
- During most of its lifetime, a star maintains an equilibrium size in which the inward force of gravity on each atom is balanced by an outward pressure force due to the heat of the nuclear reactions in the core. But after all the hydrogen "fuel" is consumed by nuclear fusion, the pressure force drops and the star undergoes a gravitational collapse until it becomes a neutron star. In a neutron star, the electrons and protons of the atoms are squeezed together by gravity until they fuse into neutrons. Neutron stars spin very rapidly and emit intense pulses of radio and light waves, one pulse per rotation. These "pulsing stars" were discovered in the 1960s and are called pulsars. A star with the mass (M=2.0×10^30kg) and size (R=3.5×10^8m) of our sun rotates once every 29.0 days. After undergoing gravitational collapse, the star forms a pulsar that is observed by astronomers to emit radio pulses every 0.200 s. By treating the neutron star as a solid sphere, deduce its radius.arrow_forwardDuring most of its lifetime, a star maintains an equilibrium size in which the inward force of gravity on each atom is balanced by an outward pressure force due to the heat of the nuclear reactions in the core. But after all the hydrogen "fuel" is consumed by nuclear fusion, the pressure force drops and the star undergoes a gravitational collapse until it becomes a neutron star. In a neutron star, the electrons and protons of the atoms are squeezed together by gravity until they fuse into neutrons. Neutron stars spin very rapidly and emit intense pulses of radio and light waves, one pulse per rotation. These "pulsing stars" were discovered in the 1960s and are called pulsars. A star with the mass (m=2.0×10^30kg) and size (R=3.5×10^8m) of our sun rotates once every 35.0 days. After undergoing gravitational collapse, the star forms a pulsar that is observed by astronomers to emit radio pulses every 0.200 s. By treating the neutron star as a solid sphere, deduce its radius. What is the…arrow_forwardDuring most of its lifetime, a star maintains an equilibrium size in which the inward force of gravity on each atom is balanced by an outward pressure force due to the heat of the nuclear reactions in the core. But after all the hydrogen "fuel" is consumed by nuclear fusion, the pressure force drops and the star undergoes a gravitational collapse until it becomes a neutron star. In a neutron star, the electrons and protons of the atoms are squeezed together by gravity until they fuse into neutrons. Neutron stars spin very rapidly and emit intense pulses of radio and light waves, one pulse per rotation. These "pulsing stars" were discovered in the 1960s and are called pulsars. Part A A star with the mass (M = 2.0 × 10³0 kg) and size (R = 3.5 × 108 m) of our sun rotates once every 33.0 days. After undergoing gravitational collapse, the star forms a pulsar that is observed by astronomers to emit radio pulses every 0.200 s. By treating the neutron star as a solid sphere, deduce its radius.…arrow_forward
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