A closed tank, with V=10 L, containing 5 kg of water initially at 25^∘ C is heated to 175^∘ C in

step 1 We have a closed tank that has 50 liters is the volume, 10 liters is the volume. Has a mass of 5

A closed tank, with V=10 L, containing 5 kg of water...

A closed tank, with $V=10 \mathrm{L}$, containing $5 \mathrm{kg}$ of water initially at $25^{\circ} \mathrm{C}$ is heated to $175^{\circ} \mathrm{C}$ in a reversible process. Find the heat transfer to the water and its change in entropy.

Key Concepts

First Law of Thermodynamics

This principle states that energy is conserved in a system, meaning that any change in the internal energy of a closed system must equal the heat added to the system minus the work done by it. In problems involving heating a substance, the first law provides the framework for accounting for energy input and the resulting changes in internal energy or work interactions.

Heat Transfer

Heat transfer refers to the energy exchanged between a system and its surroundings due to a temperature difference. In thermodynamics problems, calculating heat transfer is essential to determine how much energy is required to change the temperature or state of a substance, taking into account the specific constraints of the process.

Reversible Process

A reversible process is an idealized thermodynamic process that occurs infinitesimally slowly so that the system remains in equilibrium at all stages. It can be reversed without leaving any net changes in the system or surroundings. This idealization simplifies the analysis of energy and entropy changes since exact relationships, such as the integral of ?Q/T for entropy, hold true.

Entropy Change

Entropy is a measure of the disorder or randomness in a system, and its change is a central concept in the Second Law of Thermodynamics. In a reversible process, the change in entropy can be calculated directly by integrating the infinitesimal heat input divided by the absolute temperature (dS = ?Q_rev/T), which quantifies the dispersal of energy within the system.

Constant Volume Process

In a constant volume process, the volume of the system remains fixed during the transformation, which means that no work related to volume change is done by or on the system. This constraint significantly influences the energy balance, as the entire heat supplied is used to change the internal energy and, consequently, affects the temperature and state of the material.

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