Question

A piston-cylinder assembly contains ( 10 mathrm{~kg} ) of water at \( 100{circ} \mathrm{C} ) and 50 bar. What phase/phases is/are found? How is/are the phase/phases determined? Write down the ta

Answer 1

At
`\(100^\circ \mathrm{C}\)` and (50) bar, water is in the liquid phase, as indicated by its position within the liquid region on the water phase diagram. The high pressure suggests a liquid state at this temperature.

Step-by-step explanation:

At
`\(100^\circ \mathrm{C}\)` and (50) bar, the water undergoes phase transition according to its phase diagram, which illustrates the relationships between temperature, pressure, and the different phases of a substance. By converting the given temperature to Kelvin (373.15 K) and consulting the water phase diagram, it becomes apparent that the conditions fall within the liquid phase region.

The phase diagram outlines distinct regions for solid, liquid, and gas phases, and the position of the point
`(\(373.15 \, \mathrm{K}, 50 \, \mathrm{bar}\))` lies within the liquid region, indicative of water's existence in the liquid state.The elevated pressure of (50) bar further supports this conclusion, as high pressure typically corresponds to a liquid state at this temperature.

The phase diagram helps interpret the state of water under specific temperature and pressure conditions, guiding us to identify the predominant phase. This analytical approach based on the phase diagram serves as a valuable tool in understanding the thermodynamic behavior of substances and predicting their phases under varying environmental conditions.

Complete Question:

Determining the Phase(s) of Water in a Piston-Cylinder Assembly

Given:

Mass of water: 10 kg

Temperature: 100°C

Pressure: 50 bar

What phase(s) is/are present in the piston-cylinder assembly?