Answer :
To find the absolute pressure when you have the gauge pressure of a gas, you need to add the atmospheric pressure to the gauge pressure. Here's how you can calculate it:
1. Understand the terms:
- Gauge pressure is the pressure relative to the atmospheric pressure. It doesn't include atmospheric pressure in its value.
- Atmospheric pressure at sea level is typically about 101.3 kPa.
2. Given:
- The gauge pressure of the gas is 114 kPa.
3. Calculation:
- Absolute pressure = Gauge pressure + Atmospheric pressure
- Substitute the values: Absolute pressure = 114 kPa + 101.3 kPa
- Absolute pressure = 215.3 kPa
4. Conclusion:
- The absolute pressure is calculated to be 215.3 kPa.
Now, let's check the options provided:
- A) 14 kPa
- B) 50 kPa
- C) 220 kPa
- D) 214 kPa
The absolute pressure we calculated (215.3 kPa) is closest to none of these rounded options directly. However, if there's an option that was intended to be closer to the calculated value considering typical variations, it's not included here. Make sure there's no error in options provided or that a rounding might explain a match.
If such discrepancy appears, please check if any error in option listings might have occurred.
1. Understand the terms:
- Gauge pressure is the pressure relative to the atmospheric pressure. It doesn't include atmospheric pressure in its value.
- Atmospheric pressure at sea level is typically about 101.3 kPa.
2. Given:
- The gauge pressure of the gas is 114 kPa.
3. Calculation:
- Absolute pressure = Gauge pressure + Atmospheric pressure
- Substitute the values: Absolute pressure = 114 kPa + 101.3 kPa
- Absolute pressure = 215.3 kPa
4. Conclusion:
- The absolute pressure is calculated to be 215.3 kPa.
Now, let's check the options provided:
- A) 14 kPa
- B) 50 kPa
- C) 220 kPa
- D) 214 kPa
The absolute pressure we calculated (215.3 kPa) is closest to none of these rounded options directly. However, if there's an option that was intended to be closer to the calculated value considering typical variations, it's not included here. Make sure there's no error in options provided or that a rounding might explain a match.
If such discrepancy appears, please check if any error in option listings might have occurred.
