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A 5 kg iron bar is taken from a forge at a temperature of 1000?C and...

A 5 kg iron bar is taken from a forge at a temperature of 1000?C and plunged into a bucket containing 10 kg of water at 60?C. Find the mass of water that is converted into steam.

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Answer #1

The heat released by the iron = mass * specific heat * temperature change.

The temperature change of the iron is 1000C - 100C, the 100C being the boiling point of water.

The water is first heated up to 100C, its boiling point. energy = mass * specific heat * (100C - 60C)

The water that boils absorbs heat, that energy = mass of water boiled * latent heat of vaporization.

mass of iron * specific heat * 900C = total mass of water * specific heat * 40C + mass of water boiled * heat of vaporization.

5*450*900 = 10*4186*40 + M*2260*103

M = 0.155 kg

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