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A Spherical Object 25

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A spherical object 25.0 cm in diameter having an emissivity of 0.800 is held at a temperature of 275°C by an internal heater.This object is embedded in a very large vat of water at 100.0°C and atmospheric pressure.At what maximum rate (in g/min)is the water evaporating in the vat due to the radiated heat it receives from the object? You can ignore any heat radiated by the water.The latent heat of fusion for water is 33,400 J/kg,its latent heat of vaporization is
2.26 × 106 J/kg,and the Stefan-Boltzmann constant is 5.670 × 10-8 W/m2 · K4.


Definitions:

Primates

An order of mammals that includes humans, apes, monkeys, and prosimians, characterized by large brains, opposable thumbs, and complex social behaviors.

Orangutans

A genus of great apes native to Indonesia and Malaysia, known for their intelligence, long arms, and reddish-brown hair.

Secondary Sexual Characteristics

Physical traits that emerge during puberty but are not directly involved in reproduction, distinguishing between the sexes, such as breast development in females and facial hair in males.

Throat Sac

A membranous sac in the throats of some animals, such as certain frogs and apes, which can be inflated and serves various functions including sound production and visual signaling.

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