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A sphere of iron is heated up to 1000° C. Once heated, it has a radius...

A sphere of iron is heated up to 1000° C. Once heated, it has a radius of 1 cm.

Now suppose that we take the same 1000° C iron sphere and plunge it into a thermally insulated container with 1kg of 0° C ice. Calculate the temperature of the contents of the container once they have come to thermal equilibrium.

Additional information: • The density of iron is 7.874 g/cm3. Assume that this density does not depend on temperature. • The specific heat of iron is 462 J/kg K. • The latent heat of fusion for water is 3.33×105 J/kg. • The specific heat of liquid water is 4.19 J/g.

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