High School

The gas in a sealed container has an absolute pressure of 125.4 kilopascals. If the air around the container is at a pressure of 99.8 kilopascals, what is the gauge pressure inside the container?

A. 1.5 kPa
B. 24.1 kPa
C. 25.6 kPa
D. 1125 kPa
E. 225.2 kPa

Answer :

The gauge pressure is determined by subtracting the ambient pressure from the absolute pressure. First, we have

$$
P_{\text{abs}} = 125.4 \, \text{kPa} \quad \text{and} \quad P_{\text{ambient}} = 99.8 \, \text{kPa}.
$$

The formula for gauge pressure is

$$
P_{\text{gauge}} = P_{\text{abs}} - P_{\text{ambient}}.
$$

Substituting in the values, we get

$$
P_{\text{gauge}} = 125.4 \, \text{kPa} - 99.8 \, \text{kPa} = 25.6 \, \text{kPa}.
$$

Thus, the gauge pressure inside the container is $\boxed{25.6 \, \text{kPa}}$, which corresponds to choice C.

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