Pressure Calculations Cd2C38
1. **Problem:** A vacuum gauge reads 30 kPa and the barometric pressure is 755 mm Hg. Find the absolute pressure in the tank.
2. **Formula:** Absolute pressure $P_{abs} = P_{barometric} - P_{vacuum}$ for vacuum gauges.
3. **Convert barometric pressure to kPa:**
- 1 mm Hg = 0.133322 kPa
- $P_{barometric} = 755 \times 0.133322 = 100.66$ kPa
4. **Calculate absolute pressure:**
- $P_{abs} = 100.66 - 30 = 70.66$ kPa
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1. **Problem:** A vacuum gauge reads 5.4 psi and barometric pressure is 28.5 in Hg. Find absolute pressure.
2. **Formula:** $P_{abs} = P_{barometric} - P_{vacuum}$
3. **Convert barometric pressure to psi:**
- 1 in Hg = 0.491154 psi
- $P_{barometric} = 28.5 \times 0.491154 = 14.00$ psi
4. **Calculate absolute pressure:**
- $P_{abs} = 14.00 - 5.4 = 8.6$ psi
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1. **Problem:** A pressure gauge reads 3.5 bars and barometric pressure is 75 cm Hg. Find absolute pressure.
2. **Formula:** For pressure gauge, $P_{abs} = P_{barometric} + P_{gauge}$
3. **Convert barometric pressure to bars:**
- 1 cm Hg = 0.0133322 bar
- $P_{barometric} = 75 \times 0.0133322 = 1.00$ bar
4. **Calculate absolute pressure:**
- $P_{abs} = 1.00 + 3.5 = 4.5$ bars
**Final answers:**
1. Absolute pressure = 70.66 kPa
2. Absolute pressure = 8.6 psi
3. Absolute pressure = 4.5 bars