Answer :
To find the absolute pressure when the gauge pressure is given, we need to follow these steps:
1. Understand the Definitions:
- Gauge Pressure: This is the pressure of the gas relative to atmospheric pressure. It doesn't take atmospheric pressure into account.
- Absolute Pressure: This is the total pressure the gas exerts, including the atmospheric pressure.
2. Use the Formula:
The formula to convert gauge pressure to absolute pressure is:
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure}
\][/tex]
3. Plug in the Values:
- The gauge pressure is given as 114 kPa.
- Standard atmospheric pressure is approximately 101.3 kPa.
4. Calculate the Absolute Pressure:
[tex]\[
\text{Absolute Pressure} = 114 \, \text{kPa} + 101.3 \, \text{kPa} = 215.3 \, \text{kPa}
\][/tex]
Based on the calculations, the absolute pressure of the gas is 215.3 kPa. However, it seems there is a slight discrepancy with the given options. Double-checking reveals that none explicitly match this value directly, but recalculating earlier impressions may offer a retake for precise aligning—ensure careful computations whenever standardized inputs undergo rigorous review!
1. Understand the Definitions:
- Gauge Pressure: This is the pressure of the gas relative to atmospheric pressure. It doesn't take atmospheric pressure into account.
- Absolute Pressure: This is the total pressure the gas exerts, including the atmospheric pressure.
2. Use the Formula:
The formula to convert gauge pressure to absolute pressure is:
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure}
\][/tex]
3. Plug in the Values:
- The gauge pressure is given as 114 kPa.
- Standard atmospheric pressure is approximately 101.3 kPa.
4. Calculate the Absolute Pressure:
[tex]\[
\text{Absolute Pressure} = 114 \, \text{kPa} + 101.3 \, \text{kPa} = 215.3 \, \text{kPa}
\][/tex]
Based on the calculations, the absolute pressure of the gas is 215.3 kPa. However, it seems there is a slight discrepancy with the given options. Double-checking reveals that none explicitly match this value directly, but recalculating earlier impressions may offer a retake for precise aligning—ensure careful computations whenever standardized inputs undergo rigorous review!
