Water is boiled at 100^∘ C and 1.0 atm. Under these conditions, 1.0 g of water occupies 1.0 cm^

step 1 we have to find the value of work done and increase in internal energy and such values are given

Water is boiled at 100^∘ C and 1.0 atm. Under these...

Water is boiled at $100^{\circ} \mathrm{C}$ and $1.0$ atm. Under these conditions, 1.0 g of water occupies $1.0 \mathrm{~cm}^{3}, 1.0$ g of steam occupies 1670 $\mathrm{cm}^{3}$, and $L_{v}=540 \mathrm{cal} / \mathrm{g}$. Find $(a)$ the external work done when $1.0$ g of steam is formed at $100^{\circ} \mathrm{C}$ and $(b)$ the increase in internal energy.

Key Concepts

Internal Energy

Internal energy encompasses all the microscopic forms of energy within a system, including kinetic and potential energies of its molecules. During processes such as phase transitions, changes in internal energy reflect the alterations in molecular motion and interatomic interactions, and are connected to overall energy changes via the first law of thermodynamics.

Expansion Work

Expansion work refers to the work done by a system when it expands against an external pressure. In thermodynamic processes, especially during phase changes where a substance expands significantly, this work can be calculated by multiplying the external pressure by the change in volume (W = P?V), highlighting its role in energy balance.

First Law of Thermodynamics

This principle states that energy is conserved in a closed system, meaning that the total energy change is equal to the heat added to the system minus the work done by the system. It provides the framework to understand how heat, work, and internal energy are interrelated during processes like phase changes.

Latent Heat

Latent heat is the energy absorbed or released by a substance during a phase transition at constant temperature. It specifically quantifies the energy required to change the phase of a unit mass of a substance, without a change in temperature, and is crucial to understanding energy exchanges during boiling, melting, or sublimation.

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