Helium is compressed isothermally from 121 kPa( abs ) to 301 kPa( abs ) . Determine the entropy

step 1 Now in this problem we are given that helium is compressed isothermally isothermally means that

Helium is compressed isothermally from 121 kPa( abs ) to 301...

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Key Concepts

Ideal Gas Behavior

The ideal gas law relates pressure, volume, and temperature of a gas through the equation PV = nRT. For gases that behave ideally, such as helium under many conditions, this law enables the prediction of changes in state variables during processes like compression or expansion. The relation is crucial in determining how volume and pressure vary inversely during an isothermal process.

Isothermal Process

An isothermal process is a thermodynamic process in which the temperature of the system remains constant throughout. Because the internal energy of an ideal gas depends only on temperature, in an isothermal process the change in internal energy is zero. This means that any work done on or by the system is exactly balanced by the heat exchanged with the surroundings.

Entropy Change in Ideal Gases

Entropy is a measure of the disorder or randomness of a system, and its change during a thermodynamic process can be calculated for an ideal gas using the formula ?S = nR ln(V2/V1) or equivalently ?S = -nR ln(P2/P1) during an isothermal process. This reflects how the entropy decreases during compression since a reduction in volume (or an increase in pressure) typically leads to a decrease in the number of accessible microstates.

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