If 4.0 g of steam at 100.0^∘ C condenses to water on a burn victim's skin and cools to 45.0^∘ C,

step 1 Question number 77. In this question, the mass of steam is given as MS is equal to 0 .004 KG. Th

If 4.0 g of steam at 100.0^∘ C condenses to water on a burn...

If $4.0 \mathrm{g}$ of steam at $100.0^{\circ} \mathrm{C}$ condenses to water on a burn victim's skin and cools to $45.0^{\circ} \mathrm{C},$ (a) how much heat is given up by the steam? (b) If the skin was originally at $37.0^{\circ} \mathrm{C},$ how much tissue mass was involved in cooling the steam to water? See Table 14.1 for the specific heat of human tissue.

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Key Concepts

Latent Heat of Condensation

Latent heat refers to the amount of energy absorbed or released during a phase change of a substance without a change in temperature. In this context, the steam releasing heat as it condenses into water is an example of using the latent heat of condensation, where the energy associated with the phase change is released and can be transferred to another medium, such as skin tissue.

Specific Heat Capacity

Specific heat capacity is the amount of energy required to raise the temperature of a unit mass of a substance by one degree Celsius. This principle is crucial when calculating the amount of energy needed to change the temperature of water and human tissue after condensation, thereby bridging the heat released from the steam to the resulting temperature increase or decrease in the involved substances.

Energy Conservation in Thermal Processes

The law of conservation of energy in thermal processes states that energy lost by one component of a system is gained by another, ensuring that total energy remains constant. In problems like these, the heat released during condensation and subsequent cooling of the water is entirely absorbed by the other medium—in this case, the skin tissue—allowing for the determination of involved masses or temperature changes through equation balancing.

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