Situation B: A manometer with mercury (SG = 13.6) is attached to two pipes. Pipe A carries water, while Pipe B carries seawater (SG = 1.025). Pipe A registers a gauge pressure of 150 kPa.

5. Determine the gauge pressure along Pipe B in kPa.
A. 400 kPa
B. 450 kPa
C. 500 kPa
D. 550 kPa

6. Determine the pressure difference \((P_B - P_A)\) of Pipe A and Pipe B in kPa.
A. 400 kPa
B. 450 kPa
C. 500 kPa
D. 550 kPa

7. If the fluid in Pipe B is kerosene (SG = 0.81), determine the gauge pressure along the pipe in kPa.
A. 400 kPa
B. 450 kPa
C. 500 kPa
D. 550 kPa

To determine the gage pressure along Pipe B, account for the difference in specific gravity between water and seawater. The pressure difference between Pipe A and Pipe B can be found by subtracting the gage pressure of Pipe A from the gage pressure of Pipe B. If the fluid in Pipe B is kerosene, use the same equation with the specific gravity of kerosene to calculate the gage pressure.

Explanation:

In this situation, we have a manometer attached to two pipes. Pipe A carries water and Pipe B carries seawater. The manometer reads a gage pressure of 150kPa for Pipe A. To determine the gage pressure along Pipe B, we need to account for the difference in specific gravity between water and seawater. Using the equation P_1 + ρgh_1 = P_2 + ρgh_2, where P_1 and P_2 are the pressures, ρ is the density, g is the acceleration due to gravity, and h_1 and h_2 are the heights of the fluid columns, we can calculate the gage pressure along Pipe B. The pressure difference between Pipe A and Pipe B can then be found by subtracting the gage pressure of Pipe A from the gage pressure of Pipe B. If the fluid in Pipe B is kerosene, we can use the same equation but with the specific gravity of kerosene to calculate the gage pressure.

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