Consider the system shown in Fig. 1–77. If a change of 0.7 kPa in the pressure of air causes the brine–mercury interface in the right column to drop by 5 mm in the brine level in the right column while the pressure in the brine pipe remains constant, determine the ratio of A2/A1.
The ratio of
Answer to Problem 77P
The ratio of
Explanation of Solution
Write the expression of pressure in U-tube manometer with before the pressure change of air.
Here, the pressure in area 1 is
Write the expression of pressure in U-tube manometer with after the pressure change of air.
Here, the pressure in area 2 is
Simplify the Equation (I) and Equation (II).
Here, the specific gravity of mercury is
Determine the change in specific enthalpy of mercury.
Here, the area 1 is
Substitute Equation (IV) into Equation (III).
Conclusion:
Substitute
Thus, the ratio of
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