Final answer:
In a constant pressure process, Charles's law is used to determine the change in volume when the temperature of water is increased. The new quality, however, requires saturation properties at the given conditions and cannot be obtained solely from Charles's law.
Step-by-step explanation:
The question involves calculating the change in volume and quality of water during a constant pressure heating process and applies concepts of thermodynamics, specifically Charles's law. Initially, water is at 200 kPa with a quality of 25%, and the temperature is raised by 20℃. Since the problem states a constant pressure process, Charles's law can be used to determine the new volume after the temperature increase. The quality of the mixture, which indicates the ratio of vapor to liquid, will be affected by the temperature change as well, particularly as it relates to the saturation temperature at the given pressure.
The relationship between temperature and volume at constant pressure can be expressed as V1/T1 = V2/T2, where T must be in Kelvins. An increase in temperature while maintaining pressure will result in an increase in volume. However, the new quality cannot be directly derived from Charles's law; it requires additional information from thermodynamic tables or equations that describe the saturation properties of water at the specific pressure and temperature conditions.