Universe: Stars And Galaxies
6th Edition
ISBN: 9781319115098
Author: Roger Freedman, Robert Geller, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 5, Problem 22Q
To determine
The wavelength of maximum emission and the corresponding region of
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A blackbody radiator in the shape of a sphere has a surface area of 15 ^ 2 * m . if it has a temperature of 1200 K how much energy does it emit per second?
Our Sun shines bright with a luminosity of 3.828 x 1026 Watt. Her energy is responsible for many
processes and the habitable temperatures on the Earth that make our life possible.
(a) Calculate the amount of energy arriving on the Earth in a single day.
(b) To how many litres of heating oil (energy density: 37.3 x 10° J/litre) is this equivalent?
(c) The Earth reflects 30% of this energy: Determine the temperature on Earth's surface.
(d) What other factors should be considered to get an even more precise temperature estimate?
Note: The Earth's radius is 6370 km; the Sun's radius is 696 x 103 km; 1 AU is 1.495 x 108 km.
When stars like the Sun die, they lose their outer layers and expose their very hot cores. These exposed cores are called white dwarf stars. A certain white dwarf star has a peak emission wavelength of 0.546 nm. Approximating the star as a blackbody, what is its surface temperature?
Wien's Displacement constant is b = 2.898 x 10-3 K m.
The Stefan-Boltzmann constant is ? = 5.670 x 10-8 W/m2K4.
Chapter 5 Solutions
Universe: Stars And Galaxies
Ch. 5 - Prob. 1QCh. 5 - Prob. 2QCh. 5 - Prob. 3QCh. 5 - Prob. 4QCh. 5 - Prob. 5QCh. 5 - Prob. 6QCh. 5 - Prob. 7QCh. 5 - Prob. 8QCh. 5 - Prob. 9QCh. 5 - Prob. 10Q
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- Suppose a blackbody at 425 K radiates just enough heat in 15.0 min to boil water for a cup of tea. How much time t will it take to boil the same water if the temperature of the radiator is 525 K? t = ? sarrow_forwardThe following quotation is taken from the article “Quantum Black Holes”, by Bernard J. Carr and Steven B. Giddings, in the May 2005 issue of Scientific American. "The total time for a black hole to evaporate away is proportional to the cube of its initial mass. For a solar-mass hole, the lifetime is an unobservably long 1064 years." a. Recall that the solar mass is 2 × 10³0 kilograms. Write a formula for the lifetime, L, of a black hole as a function of its mass, m. Start by finding the value of the constant k, then write your function using the letter k (rather than its value in scientific notation). For example, for a direct variation you would write “L(m) = km”. k = a × 10¹ where a = L(m) = b. The present age mass = c × 10ª kg, where c = A and b = = of the universe is about 10¹0 years. What would be the mass of a black hole as old as the universe? ID and d = Jarrow_forwardThe power emitted by a blackbody is proportional to T^4. If the temperature of the blackbody goes from 3000K to 6000K, by how much (by what factor, 2, 3, 8, etc) does the power increase?arrow_forward
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