13-02-09 Stefan's law

An object with a surface area of 0.2 m²,
Emissivity: 0.8
Heat capacity: 1320.0 J/K
Temperature of 59.0 °C.

It is then place in an environment at 38.0 °C and it cools until it is in thermal equilibrium.

Stefan constant: σ = 5.68 x 10-8 W m-2 K-4

Approximately how long does the object take to cool to a temperature of 45 degree C

2 Answers

3
iitimcomin ·

59C= 332K.................................
38C= 311K.................................

Q = mcdT........................

dQ/dt = σ eA(T^4-311^4).................

mcdT/dt = σ eA(T^4-311^4).................

integratin time from 0 to t and temp from 332 to (273+45)...............

find t!!!!!!!!!!!!!!

sir 1 thing i dont understand!!!!!!!!!!!y do u need Coefficient of convective heat transfer
and cud u pls xpalain wat it is!!!!!!!!!!!!!!!!!!!!!!:(

62
Lokesh Verma ·

sorry dude that is not in syllabus of IIT JEE..

My wrong.. I saw this question somewhere.. and realised that it was not in syllabus.

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