How long does it take the Sun to melt a block of ice

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SUMMARY

The discussion focuses on calculating the time required for the Sun to melt a block of ice with a surface area of 1.0 m² and a thickness of 1.0 cm at 0 degrees Celsius. The relevant equation used is ΔQ/Δt = (1000 W/m²)(emissivity)(A)(cos θ), where the emissivity of ice is given as 0.050 and the angle of sunlight is 30 degrees from the vertical. The participant seeks assistance in manipulating this equation to determine the necessary heat (ΔQ) to melt the ice.

PREREQUISITES
  • Understanding of thermodynamics and heat transfer principles
  • Familiarity with the concept of emissivity in thermal radiation
  • Basic knowledge of trigonometry, specifically cosine functions
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Calculate the total heat required to melt the ice using the formula Q = mL, where L is the latent heat of fusion for ice.
  • Learn about the effects of angle of incidence on solar radiation intensity.
  • Explore the concept of emissivity and its impact on thermal radiation absorption.
  • Investigate the principles of energy balance in phase change processes.
USEFUL FOR

Students studying physics, particularly those focusing on thermodynamics and heat transfer, as well as educators looking for practical examples of energy calculations involving phase changes.

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Homework Statement


How long does it take the Sun to melt a block of ice at 0 celsius with a flat horizontal area 1.0 m^2 and thickness 1.0 cm ? Assume that the Sun's rays make an angle of 30 with the vertical and that the emissivity of ice is 0.050.



Homework Equations



delta [Q] / delta [t] = (1000W/m^2)(emissivity)A(cos theta)


The Attempt at a Solution



delta [Q] / delta [t] = 1000(.05)(cos30)

I know that this does not give me time. I don't know how to manipulate this equation..please help . Thanks!
 
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What should ΔQ be, in order to melt a block of ice of the given volume?
 

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