A 400-g block of iron at $400 ^ { \circ } \mathrm { C }$ is dropped into a calorimeter (of negligible heat capacity) containing 60 g of water at $30 ^ { \circ } \mathrm { C }$ How much steam is produced? The latent heat of vaporization of water is $22.6 \times 10 ^ { 5 }$ J/kg and its specific heat capacity is 4186 $\mathrm { J } / \mathrm { Kg } \cdot \mathrm { K }$ The average specific heat of iron over this temperature range is $560 \mathrm {~J} / \mathrm { kg } \cdot \mathrm { K } .$

Question

A  400-g block of iron at $400 ^ { \circ } \mathrm { C }$ is dropped into a calorimeter (of negligible heat capacity) containing  60 g of water at $30 ^ { \circ } \mathrm { C }$ How much steam is produced? The latent heat of vaporization of water is $22.6 \times 10 ^ { 5 }$  J/kg and its specific heat capacity is  4186 $\mathrm { J } / \mathrm { Kg } \cdot \mathrm { K }$ The average specific heat of iron over this temperature range is $560 \mathrm {~J} / \mathrm { kg } \cdot \mathrm { K } .$

Quizplus · Accepted Answer

The heat lost by the iron block is equal to the heat gained by the water. Calculate the heat lost by the iron using $Q = mc\Delta T$. Then, calculate the heat required to raise the water to $100^\circ C$ and the heat required to convert some of the water to steam using $Q = mL$. Solve for the mass of steam produced.

A 400-G Block of Iron At 400∘C400 ^ { \circ } \mathrm { C }400∘C

A 400-G Block of Iron At $400 ^ { \circ } \mathrm { C }$