The state of liquid water is changed from 50 psia and 50^∘ F to 2000 psia and 100^∘ F. Determine

step 1 Our question is a state of liquid water is changed from 50 p .c .r and 50 degree Fahrenheit, tha

The state of liquid water is changed from 50 psia and 50^∘ F...

The state of liquid water is changed from 50 psia and $50^{\circ} \mathrm{F}$ to 2000 psia and $100^{\circ} \mathrm{F}$. Determine the change in the internal energy and enthalpy of water on the basis of the $(a)$ compressed liquid tables, $(b)$ incompressible substance approximation and property tables, and ( $c$ ) specific-heat model.

Key Concepts

Specific-Heat Model

The specific-heat model uses the concept of specific heat capacity—a measure of how much energy is required to change the temperature of a unit mass of a substance—to estimate energy changes. By assuming a constant specific heat over a range of temperatures, one can approximate the changes in internal energy and enthalpy due to temperature changes using simple linear equations.

Thermodynamic Properties

This concept refers to the fundamental state functions such as internal energy and enthalpy, which describe the energy of a system. Understanding these properties is key to analyzing how energy is stored and transferred in a substance when its state changes through variations in temperature and pressure.

Compressed Liquid Tables

These are experimentally or empirically derived data tables that provide accurate thermodynamic properties for liquids under high pressures and low temperatures (i.e., in the compressed or subcooled state). They are critical for precise calculations when the liquid state is significantly affected by pressure changes.

Incompressible Substance Approximation

This approximation assumes that the density (and, by extension, the volume) of a liquid does not change significantly with pressure. It simplifies the calculation of thermodynamic properties by focusing on temperature variations while neglecting minor effects due to pressure, making it useful for estimating changes in internal energy and enthalpy.

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