A popular winter artistic endeavor in large suburban villages is the constructio

Question

A popular winter artistic endeavor in large suburban villages is the construction of large ice sculptures Proudly displayed in high traffic areas, such as the village square. These rectangular blocks can be six feet in height and three feet square. Common engineering papers rate the al sorption efficiency of clear ice at approximately 0.0015. These blocks sit around outside day in and day out, so you can safely assume they have reached the melting point. The winter sun typically deposits an average 20 W/m^2 on two sides and the top throughout the day. Neglecting any change in area due to melting, how many Hours will it take for the sun's energy to completely melt the block?

Explanation / Answer

Heat energy required for melting = heat ener supplied by sun

Latent heat × density × volume = 334 × 918 × 1.53 = 4.688*10^5 J

let time needed for melting be t s

Heat received by sun light on two sides n top = 0.0015 ×20 × 4.18 × t = 0.1254 *t

t = 4.688*10^5 / 0.1254 = 3.7377*10^6 s

= 1038 hr

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