Chapter 9, Problem 9.24E

(a)

Interpretation Introduction

Interpretation:

The power flux radiated by the Sun, in $\text{W}/{\text{m}}^{\text{2}}$ is to be calculated.

Concept introduction:

The radiant energy is defined as the power per unit area. It is given by the expression as follows.

$\frac{P}{A}=\sigma T^4$

In the above equation, $\frac{P}{A}$ is radiant energy, $\sigma$ is Boltzmann constant and $T$ is temperature. The value $\sigma$ for a black body is $5.6705\times {10}^{-8}\text{watt}/{\text{meter}}^{\text{2}}{\text{K}}^{\text{4}}$.

(b)

Interpretation Introduction

Interpretation:

The total power emitted by the Sun, in watts, having surface area $6.087\times {10}^{12}{\text{m}}^{\text{2}}$ is to be calculated.

Concept introduction:

The radiant energy is defined as the power per unit area. It is given by the expression as follows.

$\frac{P}{A}=\sigma T^4$

In the above equation, $\frac{P}{A}$ is radiant energy, $\sigma$ is Boltzmann constant and $T$ is temperature. The value $\sigma$ for a black body is $5.6705\times {10}^{-8}\text{watt}/{\text{meter}}^{\text{2}}{\text{K}}^{\text{4}}$.

(c)

Interpretation Introduction

Interpretation:

The number of joules of energy radiated in one year by the Sun is to be calculated.

Concept introduction:

The radiant energy is defined as the power per unit area. It is given by the expression as follows.

$\frac{P}{A}=\sigma T^4$

In the above equation, $\frac{P}{A}$ is radiant energy, $\sigma$ is Boltzmann constant and $T$ is temperature. The value $\sigma$ for a black body is $5.6705\times {10}^{-8}\text{watt}/{\text{meter}}^{\text{2}}{\text{K}}^{\text{4}}$.