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Consider the following experiment with 100 grams of a pure substance in a variable-volume cylindrical container. The base of the cylinder is 100 cm2. The height of the piston from the base of the cylinder is denoted by h (cm). Therefore, the internal volume of the cylinder in cm3 is 100h. The cylinder height is slowly changed and the following data is gathered at equilibrium.
case | height, h (cm) | Number of phases | Mass of vapor | Temperature (C) |
1 | 3.77 | 2 | 30 | 10 |
2 | 4.66 | 2 | 40 | 10 |
3 | ? | 2 | 59 | 10 |
a) find the specific density of each phase
b) find the height in case 3
c) state whether the following statement is true or false: The pressures in all three cases are equal.
Dear student, before solving part a and b we shall solve part c first analytically to establish that pressure of system is equal for all cases. This helps us to assume specific volume of each phase is constant for all cases. Then we shall form linear equation for both cases to get desired results for part a and b.
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