When an object is in radiative equilibrium with its environment at temperature T, the rates at which it emits and absorbs radiant energy must be equal Each is given by dQ 0 dt T 4 A If the objects temperature is raised to T 1 T, show that to first order in T T 1 T, the object loses energy to its environment at a rate dQ dt 4TT 3 A

Question: When an object is in radiative equilibrium with its environment at temperature T, the rates at which it emits and absorbs radiant energy must be

When an object is in radiative equilibrium with its environment at temperature T, the rates at which it emits and absorbs radiant energy must be equal. Each is given by dQ₀/dt = εσT⁴A. If the object’s temperature is raised to T₁ > T, show that to first order in ΔT = T₁−T, the object loses energy to its environment at a rate dQ/dt = 4εσΔTT³A.

Step by Step Solution

★★★★★

3.28 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

When the temperature of the object is raised to T 1 T T it emits energ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related The Physics Energy Questions!

(a) When an object is in a circular orbit of radius r around the earth (mass m, the period of the orbit is T, given by Eq. (12.12), and the orbital speed is v, given by Eq. (12.10). Show that when...

(a) When an object is in a circular orbit of radius r around the earth (mass ), the period of the orbit is T, given by Eq. (13.12), and the orbital speed is given by Eq. (13.10). Show that when the...

When an object is immersed in a liquid at rest, why is the net force on the object in the horizontal direction equal to zero?

Answer the Activity 2 and the assignment part. 2. Click the lamp to turn on the light. When reading currents, click on the red button each time the brightness or color is changed. Read the texts so...

Purpose The purpose of this lab is to introduce the student to the concepts of heat transfer, specic heat capacity and phase change. Introduction As you learned in the Energy lab, energy can be...

Select an organisation with which you are familiar and write a report on how you would transform a clearly defined segment of the organisation into a sustainable business segment. Do not select an...

Take Quiz D Question 58 1 pts Which statement is correct? O Waves carry energy by transporting parts of the medium through which it travels from one place to another. Only transverse waves can...

rature of an object via Wien's law in the case of a thermal spectrum. To predict the power in electromagnetic radiation emitted by an object given its temperature, area, and emissivity. To calculate...

1. (80 pts) At the turn of the 19th and 20th centuries saw several groundbreaking progresses in physics. Quantum mechanics is one of the physical theories developed in this period, which have since...

Two nearby electrons would fly apart if released. How could you prevent this by placing a single charge in their neighborhood? Explain clearly what the sign of the charge and its location would have...

A physician was interested in comparing the effects of six different antihistamines in persons extremely sensitive to antihistamine injections. To do this, a random sample of 10 allergy patients was...

Jerry Terry worked for Max Soda Corporation for 30 years. He retired and is receiving a pension benefit. Max Soda Corporation goes out of business and declares bankruptcy. Who will step in to make...

5. How can a significant positive speed of adjustment of capital structure determine whether pecking order or market timing is the more prominent theory?

FIGURE EX2.7 is a somewhat idealized graph of the velocity of blood in the ascending aorta during one beat of the heart. Approximately how far, in cm, does the blood move during one beat? Figure Ex...

FIGURE EX2.8 shows the velocity graph for a particle having initial position x 0 = 0 m at t 0 = 0 s. At what time or times is the particle found at x = 35 m? Figure Ex 2.8 V (m/s) 10- 5. 0- 2 4 6 -t...

FIGURE EX2.9 shows the velocity graph of a particle. Draw the particles acceleration graph for the interval 0 s ¤ t ¤ 4 s. Figure Ex 2.9 (m/s) 4+ 2- t (s) 0+ 2

The market where the MOB is located is unstable with extensive tenant churning and lease buyouts occurring regularly. The truth is our 10% vacancy and collection loss estimate is fairly optimistic...

26. Two stocks, one high risk (Happy) and one low risk (Lonely), have been evaluated by your company. Your stock analysis team has predicted estimated returns and beta risk in the table below for the...

23. Assume that shortly after you bought the bond, (a three-year bond with a $1,000 face value, a 6% coupon (paid annually) and an 8% yield to maturity), market yields fall to 5%. If you hold the...