0

Guest

Courses New

An object is at temp of 400 degree celcius.At what temp would it radiate energy twice as fast?The temp of the surroundings may be as sumed to be negligible

An object is at temp of 400 degree celcius.At what temp would it radiate energy twice as fast?The temp of the surroundings may be as sumed to be negligible

Grade:12

1 Answers

AskIITians Expert Hari Shankar IITD
17 Points
13 years ago

By STefan-Boltzmann law, Rate of heat radiation E is proportional to T4 .

Let E = kT4.

Also, let the iniotial energy radiated be E1.

Temperature T = 400 C = 400+273 K = 673 K

So, E1 = k (673)4 .................(1)

Let rate of heat radiation be 2E1 at temperature T2.

Then, 2E1 = k(T2)4

2E1 = [E1/(673)4] (T2)4 using (1)

(T2)4 = 2 (673)4

T2 = (2)1/4 * 673 = 1.19 * 673 = 800.33 K

 

Think You Can Provide A Better Answer ?

Other Related Questions on Thermal Physics

View all Questions »

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More