Final answer:
The question pertains to an ideal-gas process described by the equation p = cV^(1/2) and its relation to the ideal gas law, PV = nRT, fundamental in understanding gas behavior under changing conditions.
Step-by-step explanation:
The question involves a description of an ideal-gas process with the equation p = cV1/2, where p is the pressure, V is the volume of the gas, and c is a constant. This type of process can be related to the ideal gas law, which is a fundamental equation in thermodynamics and provides a relationship among the pressure (P), volume (V), number of moles of gas (n), temperature (T), and the ideal gas constant (R).
The ideal gas law is expressed as PV = nRT. When considering an ideal gas in which the number of molecules (N) is constant, as in a sealed container, the relationship pV/T is also constant. This law can be used to predict the behavior of real gases under a variety of conditions, although there are some limitations at very low temperatures or very high pressures, where deviations from ideal behavior are most notable.
Understanding and applying the ideal gas law equation in this scenario requires a comprehension of how changes in pressure and volume can affect a gas that behaves ideally. This can be useful in both theoretical contexts and practical applications, such as engineering and environmental studies.