a. The Sun has an average surface temperature of 6000 K. How much radiation is emitted from this surface? b. How much radiation is emitted from Earth’s surface at 300 K?

Question

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Answer 1

Textbook Question

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Chapter 3, Problem 1E

a. The Sun has an average surface temperature of 6000 K. How much radiation is emitted from this surface?
b. How much radiation is emitted from Earth’s surface at 300 K?

a)

Expert Solution

To determine

The amount of radiation emitted from the surface of the Sun, given the average surface temperature of Sun is 6000 K.

Answer to Problem 1E

The radiation emitted by the Sun at 6000K is 73,483,200 Wm−2.

Explanation of Solution

Electromagnetic energy is radiated from the Sun, and it reaches the surface of the Earth in the form of visible radiations. Initially, the spectrum contains all types of wavelengths, and the atmosphere filters out certain wavelengths.

The emission of radiation by a body can be understood from Stefan–Boltzmann law. This law states, “Energy emitted by a body is directly proportional to the fourth power of temperature”.

E∝T4E=σT4

Here, E is the energy emitted by a body, T is the temperature of the body, and σ is the Stefan–Boltzmann constant

The formula to calculate the radiation emitted by the Sun at 6,000K is expressed below:

E=σT4

Substitute 5.67×10−8 Wm−2K−4 for σ and 6000 K for T to find the radiation emitted by the Sun at 6,000K.

E=(5.67×10−8 Wm−2K−4)(6,000 K)4=73,483,200 Wm−2

Therefore, the radiation emitted by the Sun at 6000K is 73,483,200 Wm−2.

b)

Expert Solution

To determine

The amount of radiation emitted from the Earth’s surface at 300 K.

Answer to Problem 1E

The radiation emitted by the Earth’s surface at 300K is 459.27 Wm−2.

Explanation of Solution

Refer to subpart ‘a’ for description regarding Stefan–Boltzmann law.

The formula to calculate the radiation emitted by the Earth’s surface at 300K is expressed below:

E=σT4

To find the radiation emitted by the Earth’s surface at 300K, substitute 5.67×10−8 Wm−2K−4 for σ and 300 K for T.

E=(5.67×10−8 Wm−2K−4)(3,00 K)4=459.27 Wm−2

Therefore, the radiation emitted by the Earth’s surface at 300K is 459.27 Wm−2.

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Answer 2

Textbook Question

100%

Chapter 3, Problem 1E

a. The Sun has an average surface temperature of 6000 K. How much radiation is emitted from this surface?
b. How much radiation is emitted from Earth’s surface at 300 K?

a)

Expert Solution

To determine

The amount of radiation emitted from the surface of the Sun, given the average surface temperature of Sun is 6000 K.

Answer to Problem 1E

The radiation emitted by the Sun at 6000K is 73,483,200 Wm−2.

Explanation of Solution

Electromagnetic energy is radiated from the Sun, and it reaches the surface of the Earth in the form of visible radiations. Initially, the spectrum contains all types of wavelengths, and the atmosphere filters out certain wavelengths.

The emission of radiation by a body can be understood from Stefan–Boltzmann law. This law states, “Energy emitted by a body is directly proportional to the fourth power of temperature”.

E∝T4E=σT4

Here, E is the energy emitted by a body, T is the temperature of the body, and σ is the Stefan–Boltzmann constant

The formula to calculate the radiation emitted by the Sun at 6,000K is expressed below:

E=σT4

Substitute 5.67×10−8 Wm−2K−4 for σ and 6000 K for T to find the radiation emitted by the Sun at 6,000K.

E=(5.67×10−8 Wm−2K−4)(6,000 K)4=73,483,200 Wm−2

Therefore, the radiation emitted by the Sun at 6000K is 73,483,200 Wm−2.

b)

Expert Solution

To determine

The amount of radiation emitted from the Earth’s surface at 300 K.

Answer to Problem 1E

The radiation emitted by the Earth’s surface at 300K is 459.27 Wm−2.

Explanation of Solution

Refer to subpart ‘a’ for description regarding Stefan–Boltzmann law.

The formula to calculate the radiation emitted by the Earth’s surface at 300K is expressed below:

E=σT4

To find the radiation emitted by the Earth’s surface at 300K, substitute 5.67×10−8 Wm−2K−4 for σ and 300 K for T.

E=(5.67×10−8 Wm−2K−4)(3,00 K)4=459.27 Wm−2

Therefore, the radiation emitted by the Earth’s surface at 300K is 459.27 Wm−2.

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Answer 3

Textbook Question

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Chapter 3, Problem 1E

a. The Sun has an average surface temperature of 6000 K. How much radiation is emitted from this surface?
b. How much radiation is emitted from Earth’s surface at 300 K?

a)

Expert Solution

To determine

The amount of radiation emitted from the surface of the Sun, given the average surface temperature of Sun is 6000 K.

Answer to Problem 1E

The radiation emitted by the Sun at 6000K is 73,483,200 Wm−2.

Explanation of Solution

Electromagnetic energy is radiated from the Sun, and it reaches the surface of the Earth in the form of visible radiations. Initially, the spectrum contains all types of wavelengths, and the atmosphere filters out certain wavelengths.

The emission of radiation by a body can be understood from Stefan–Boltzmann law. This law states, “Energy emitted by a body is directly proportional to the fourth power of temperature”.

E∝T4E=σT4

Here, E is the energy emitted by a body, T is the temperature of the body, and σ is the Stefan–Boltzmann constant

The formula to calculate the radiation emitted by the Sun at 6,000K is expressed below:

E=σT4

Substitute 5.67×10−8 Wm−2K−4 for σ and 6000 K for T to find the radiation emitted by the Sun at 6,000K.

E=(5.67×10−8 Wm−2K−4)(6,000 K)4=73,483,200 Wm−2

Therefore, the radiation emitted by the Sun at 6000K is 73,483,200 Wm−2.

b)

Expert Solution

To determine

The amount of radiation emitted from the Earth’s surface at 300 K.

Answer to Problem 1E

The radiation emitted by the Earth’s surface at 300K is 459.27 Wm−2.

Explanation of Solution

Refer to subpart ‘a’ for description regarding Stefan–Boltzmann law.

The formula to calculate the radiation emitted by the Earth’s surface at 300K is expressed below:

E=σT4

To find the radiation emitted by the Earth’s surface at 300K, substitute 5.67×10−8 Wm−2K−4 for σ and 300 K for T.

E=(5.67×10−8 Wm−2K−4)(3,00 K)4=459.27 Wm−2

Therefore, the radiation emitted by the Earth’s surface at 300K is 459.27 Wm−2.

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Answer 4

Textbook Question

100%

Chapter 3, Problem 1E

a. The Sun has an average surface temperature of 6000 K. How much radiation is emitted from this surface?
b. How much radiation is emitted from Earth’s surface at 300 K?

a)

Expert Solution

To determine

The amount of radiation emitted from the surface of the Sun, given the average surface temperature of Sun is 6000 K.

Answer to Problem 1E

The radiation emitted by the Sun at 6000K is 73,483,200 Wm−2.

Explanation of Solution

Electromagnetic energy is radiated from the Sun, and it reaches the surface of the Earth in the form of visible radiations. Initially, the spectrum contains all types of wavelengths, and the atmosphere filters out certain wavelengths.

The emission of radiation by a body can be understood from Stefan–Boltzmann law. This law states, “Energy emitted by a body is directly proportional to the fourth power of temperature”.

E∝T4E=σT4

Here, E is the energy emitted by a body, T is the temperature of the body, and σ is the Stefan–Boltzmann constant

The formula to calculate the radiation emitted by the Sun at 6,000K is expressed below:

E=σT4

Substitute 5.67×10−8 Wm−2K−4 for σ and 6000 K for T to find the radiation emitted by the Sun at 6,000K.

E=(5.67×10−8 Wm−2K−4)(6,000 K)4=73,483,200 Wm−2

Therefore, the radiation emitted by the Sun at 6000K is 73,483,200 Wm−2.

b)

Expert Solution

To determine

The amount of radiation emitted from the Earth’s surface at 300 K.

Answer to Problem 1E

The radiation emitted by the Earth’s surface at 300K is 459.27 Wm−2.

Explanation of Solution

Refer to subpart ‘a’ for description regarding Stefan–Boltzmann law.

The formula to calculate the radiation emitted by the Earth’s surface at 300K is expressed below:

E=σT4

To find the radiation emitted by the Earth’s surface at 300K, substitute 5.67×10−8 Wm−2K−4 for σ and 300 K for T.

E=(5.67×10−8 Wm−2K−4)(3,00 K)4=459.27 Wm−2

Therefore, the radiation emitted by the Earth’s surface at 300K is 459.27 Wm−2.

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Answer 5

Textbook Question

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Answer 6

Textbook Question

100%

Answer 7

a)

Expert Solution

To determine

The amount of radiation emitted from the surface of the Sun, given the average surface temperature of Sun is 6000 K.

Answer to Problem 1E

The radiation emitted by the Sun at 6000K is 73,483,200 Wm−2.

Explanation of Solution

Electromagnetic energy is radiated from the Sun, and it reaches the surface of the Earth in the form of visible radiations. Initially, the spectrum contains all types of wavelengths, and the atmosphere filters out certain wavelengths.

The emission of radiation by a body can be understood from Stefan–Boltzmann law. This law states, “Energy emitted by a body is directly proportional to the fourth power of temperature”.

E∝T4E=σT4

Here, E is the energy emitted by a body, T is the temperature of the body, and σ is the Stefan–Boltzmann constant

The formula to calculate the radiation emitted by the Sun at 6,000K is expressed below:

E=σT4

Substitute 5.67×10−8 Wm−2K−4 for σ and 6000 K for T to find the radiation emitted by the Sun at 6,000K.

E=(5.67×10−8 Wm−2K−4)(6,000 K)4=73,483,200 Wm−2

Therefore, the radiation emitted by the Sun at 6000K is 73,483,200 Wm−2.

b)

Expert Solution

To determine

The amount of radiation emitted from the Earth’s surface at 300 K.

Answer to Problem 1E

The radiation emitted by the Earth’s surface at 300K is 459.27 Wm−2.

Explanation of Solution

Refer to subpart ‘a’ for description regarding Stefan–Boltzmann law.

The formula to calculate the radiation emitted by the Earth’s surface at 300K is expressed below:

E=σT4

To find the radiation emitted by the Earth’s surface at 300K, substitute 5.67×10−8 Wm−2K−4 for σ and 300 K for T.

E=(5.67×10−8 Wm−2K−4)(3,00 K)4=459.27 Wm−2

Therefore, the radiation emitted by the Earth’s surface at 300K is 459.27 Wm−2.

Answer 8

a)

Expert Solution

To determine

The amount of radiation emitted from the surface of the Sun, given the average surface temperature of Sun is 6000 K.

Answer to Problem 1E

The radiation emitted by the Sun at 6000K is 73,483,200 Wm−2.

Explanation of Solution

Electromagnetic energy is radiated from the Sun, and it reaches the surface of the Earth in the form of visible radiations. Initially, the spectrum contains all types of wavelengths, and the atmosphere filters out certain wavelengths.

The emission of radiation by a body can be understood from Stefan–Boltzmann law. This law states, “Energy emitted by a body is directly proportional to the fourth power of temperature”.

E∝T4E=σT4

Here, E is the energy emitted by a body, T is the temperature of the body, and σ is the Stefan–Boltzmann constant

The formula to calculate the radiation emitted by the Sun at 6,000K is expressed below:

E=σT4

Substitute 5.67×10−8 Wm−2K−4 for σ and 6000 K for T to find the radiation emitted by the Sun at 6,000K.

E=(5.67×10−8 Wm−2K−4)(6,000 K)4=73,483,200 Wm−2

Therefore, the radiation emitted by the Sun at 6000K is 73,483,200 Wm−2.

Answer 9

a)

Expert Solution

Answer 10

a)

Expert Solution

Answer 11

Expert Solution

Answer 12

To determine

The amount of radiation emitted from the surface of the Sun, given the average surface temperature of Sun is 6000 K.

Answer 13

Answer to Problem 1E

The radiation emitted by the Sun at 6000K is 73,483,200 Wm−2.

Answer 14

Explanation of Solution

Electromagnetic energy is radiated from the Sun, and it reaches the surface of the Earth in the form of visible radiations. Initially, the spectrum contains all types of wavelengths, and the atmosphere filters out certain wavelengths.

The emission of radiation by a body can be understood from Stefan–Boltzmann law. This law states, “Energy emitted by a body is directly proportional to the fourth power of temperature”.

E∝T4E=σT4

Here, E is the energy emitted by a body, T is the temperature of the body, and σ is the Stefan–Boltzmann constant

The formula to calculate the radiation emitted by the Sun at 6,000K is expressed below:

E=σT4

Substitute 5.67×10−8 Wm−2K−4 for σ and 6000 K for T to find the radiation emitted by the Sun at 6,000K.

E=(5.67×10−8 Wm−2K−4)(6,000 K)4=73,483,200 Wm−2

Therefore, the radiation emitted by the Sun at 6000K is 73,483,200 Wm−2.

Answer 15

b)

Expert Solution

To determine

The amount of radiation emitted from the Earth’s surface at 300 K.

Answer to Problem 1E

The radiation emitted by the Earth’s surface at 300K is 459.27 Wm−2.

Explanation of Solution

Refer to subpart ‘a’ for description regarding Stefan–Boltzmann law.

The formula to calculate the radiation emitted by the Earth’s surface at 300K is expressed below:

E=σT4

To find the radiation emitted by the Earth’s surface at 300K, substitute 5.67×10−8 Wm−2K−4 for σ and 300 K for T.

E=(5.67×10−8 Wm−2K−4)(3,00 K)4=459.27 Wm−2

Therefore, the radiation emitted by the Earth’s surface at 300K is 459.27 Wm−2.

Answer 16

b)

Expert Solution

Answer 17

b)

Expert Solution

Answer 18

Expert Solution

Answer 19

To determine

The amount of radiation emitted from the Earth’s surface at 300 K.

Answer 20

Answer to Problem 1E

The radiation emitted by the Earth’s surface at 300K is 459.27 Wm−2.

Answer 21

Explanation of Solution

Refer to subpart ‘a’ for description regarding Stefan–Boltzmann law.

The formula to calculate the radiation emitted by the Earth’s surface at 300K is expressed below:

E=σT4

To find the radiation emitted by the Earth’s surface at 300K, substitute 5.67×10−8 Wm−2K−4 for σ and 300 K for T.

E=(5.67×10−8 Wm−2K−4)(3,00 K)4=459.27 Wm−2

Therefore, the radiation emitted by the Earth’s surface at 300K is 459.27 Wm−2.

Answer 22

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a. The Sun has an average surface temperature of 6000 K. How much radiation is emitted from this surface? b. How much radiation is emitted from Earth’s surface at 300 K?

Answer to Problem 1E

Explanation of Solution

Answer to Problem 1E

Explanation of Solution

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