High School

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If a gas has a gauge pressure of 156 kPa, its absolute pressure is approximately:

A. 100 kPa
B. 56 kPa
C. 300 kPa
D. 256 kPa

Answer :

To find the absolute pressure, we use the relationship between gauge pressure and absolute pressure. The absolute pressure is given by

[tex]$$
P_{\text{absolute}} = P_{\text{gauge}} + P_{\text{atmospheric}}
$$[/tex]

where:
- [tex]$P_{\text{gauge}}$[/tex] is the gauge pressure,
- [tex]$P_{\text{atmospheric}}$[/tex] is the atmospheric pressure (commonly approximated as [tex]$100\text{ kPa}$[/tex]).

Given that the gauge pressure is [tex]$156\text{ kPa}$[/tex], we calculate:

[tex]$$
P_{\text{absolute}} = 156\text{ kPa} + 100\text{ kPa} = 256\text{ kPa}
$$[/tex]

Thus, the absolute pressure of the gas is approximately [tex]$256\text{ kPa}$[/tex].

The best answer is:

D. [tex]$256\text{ kPa}$[/tex]

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