Small differences in gas pressures are commonly measured with a micro-manometer of the type illustratedin Fig. (3). This device consists of two large reservoirs each having a cross sectional area A, which are filledwith a liquid having a specific weight Y1 and connected by a U-tube of cross-sectional area A, containing aliquid of specific weight y2. When a differential gas pressure, P, - P2 , is applied, a differential reading, h,develops. It is desired to have this reading sufficiently large (so that it can be easily read) for small pressureAtdifferentials. Determine the relationship between h and P1P, when the area ratiois small, and showArthat the differential reading, h, can be magnified by making the difference in specific weights, Y2 - Y1 ,small. Assume that initially (with P = 2P2).%3DP1P2Y1Figure (3)

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Small differences in gas pressures are commonly measured with a micro-manometer of the type illustrated in Fig. (3). This device consists of two large reservoirs each having a cross sectional area A, which are filled with a liquid having a specific weight Y1 and connected by a U-tube of cross-sectional area A, containing a liquid of specific weight y2. When a differential gas pressure, P1 – P2 , is applied, a differential reading, h, develops. It is desired to have this reading sufficiently large (so that it can be easily read) for small pressure differentials. Determine the relationship between h and P1- P2 when the area ratio that the differential reading, h, can be magnified by making the difference in specific weights, Y2 -Y1, small. Assume that initially (with P = 2P2). At is small, and show Ar P1 P2 Y1 Y2 Figure (3)

Small differences in gas pressures are commonly measured with a micro-manometer of the type illustrated in Fig. (3). This device consists of two large reservoirs each having a cross sectional area A, which are filled with a liquid having a specific weight Y1 and connected by a U-tube of cross-sectional area A, containing a liquid of specific weight y2. When a differential gas pressure, P1 – P2 , is applied, a differential reading, h, develops. It is desired to have this reading sufficiently large (so that it can be easily read) for small pressure differentials. Determine the relationship between h and P1- P2 when the area ratio that the differential reading, h, can be magnified by making the difference in specific weights, Y2 -Y1, small. Assume that initially (with P = 2P2). At is small, and show Ar P1 P2 Y1 Y2 Figure (3)