Thermodynamics problem over cycles

Click For Summary
SUMMARY

The discussion centers on solving a thermodynamics problem involving a filament with a length of 30 cm and a diameter of 1.5 mm, drawing 15 watts of power with an emissivity of 0.9. The goal is to estimate the surface temperature of the filament in Kelvin, given that the surroundings are at 283 K. Key equations include the relationship between work cycle (Wcycle) and heat transfer (Qin), specifically Wcycle = Qhot - Qcold, and the application of the Stefan-Boltzmann Law to relate power, temperature, and emissivity.

PREREQUISITES
  • Understanding of thermodynamics principles, specifically the first and second laws.
  • Familiarity with the Stefan-Boltzmann Law and its application in thermal radiation.
  • Knowledge of emissivity and its impact on heat transfer calculations.
  • Basic skills in algebra for manipulating equations related to energy and temperature.
NEXT STEPS
  • Study the Stefan-Boltzmann Law in detail to understand its implications in thermal systems.
  • Explore the concept of emissivity and its role in heat transfer for different materials.
  • Learn about the relationship between power, temperature, and heat transfer in thermodynamic cycles.
  • Practice solving thermodynamics problems involving cycles and energy transfer using real-world examples.
USEFUL FOR

Students studying thermodynamics, physics enthusiasts, and anyone looking to deepen their understanding of heat transfer and thermal radiation principles.

Jpcol1990
Messages
4
Reaction score
0

Homework Statement


The filament is 30 cm long and has a diameter of 1.5mm. The filament is drawing 15 watts and has an emissivitity of 0.9. The surroundings are at 283 k. Estimate the surface temp of the filament in K.

Homework Equations


N = Wcycle/Qin, W cycle = Qhot - Q cold.

The Attempt at a Solution


I'm not sure how to relate the lengths. I think 0.9= Wcycle/15 watts. But not sure what to do after I find Wcycle. Any help would be appreciated!
 
Physics news on Phys.org
Hi Jpcol1990, Welcome to Physics Forums.

I'm not sure what this Wcycle stuff is about, but shouldn't you be looking at the Stefan-Boltzmann Law for problem involving power, temperature, and emissivity?
 
I figured it out! haha. But thanks for your help, bud.
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 1 ·
Replies
1
Views
6K
  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 6 ·
Replies
6
Views
6K
  • · Replies 37 ·
2
Replies
37
Views
5K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
3
Views
5K
  • · Replies 152 ·
6
Replies
152
Views
11K
  • · Replies 1 ·
Replies
1
Views
5K
  • · Replies 1 ·
Replies
1
Views
9K