A cylinder with a moveable piston is completely filled with a small amount (100 millimoles) of liquid water at a pressure of 1.0atm and a temperature of 80∘C. All the air in the cylinder is excluded. The cylinder is placed in a water bath held at 80∘C. The piston is slowly moved out to expand the volume of the cylinder to 20L as the pressure inside the cylinder is monitored. A plot of the pressure versus volume for the system is shown in the figure above. Which of the following statements most closely indicates, with justification, the region of the curve where the equilibrium represented below occurs?

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Answer:

Region B, because the pressure inside the cylinder is equal to the vapor pressure of water at 80∘C when both liquid and gas phases are present.

Explanation:

As expansion occurs, liquid water evaporates reversibly, holding the pressure constant at the equilibrium vapor pressure of water at 80∘C(0.47atm) 80∘C (0.47 atm). When all of the liquid has evaporated, the pressure drops and follows the ideal gas law.

The equilibrium curve depicts the state where the pressure and the volume of the reactants and products are constant and their proportion does not vary.

The correct answer is:

Option B. Region B, because the pressure inside the cylinder is equal to the vapour pressure of water at 80°C when both the phases are present.

  • According to the ideal gas law product of pressure and volume is equivalent to the product of the number of substances, gas constant, and temperature.

  • When the expansion occurs then water being fluid evaporates reversibly.

  • The constant temperature and pressure maintained are 80°C at 0.47 atm.

  • When all the water gets evaporated then a decline in pressure is seen.

Therefore, region B of the graph represents the region of the curve of equilibrium.

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