High School

We appreciate your visit to Gas Laws Fact Sheet tex begin array l l hline text Ideal gas law P V n R T hline text Ideal gas constant begin. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Gas Laws Fact Sheet

[tex]
\[
\begin{array}{|l|l|}
\hline
\text{Ideal gas law} & P V = n R T \\
\hline
\text{Ideal gas constant} &
\begin{array}{l}
R = 8.314 \frac{L \cdot kPa}{mol \cdot K} \\
\text{or} \\
R = 0.0821 \frac{L \cdot atm}{mol \cdot K}
\end{array} \\
\hline
\text{Standard atmospheric pressure} & 1 \, atm = 101.3 \, kPa \\
\hline
\text{Celsius to Kelvin conversion} & K = {}^{\circ} C + 273.15 \\
\hline
\end{array}
\]
[/tex]

Select the correct answer.

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. [tex]\(1.5 \, kPa\)[/tex]

B. [tex]\(24.1 \, kPa\)[/tex]

C. [tex]\(25.6 \, kPa\)[/tex]

D. [tex]\(112.6 \, kPa\)[/tex]

E. [tex]\(225.2 \, kPa\)[/tex]

Answer :

To find the gauge pressure inside the container, we use the fact that the gauge pressure is the difference between the absolute pressure inside the container and the atmospheric pressure outside. That is, the formula is:

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

Given that the absolute pressure is [tex]$125.4\ \text{kPa}$[/tex] and the atmospheric pressure is [tex]$99.8\ \text{kPa}$[/tex], we substitute these values into the equation:

[tex]$$
P_{\text{gauge}} = 125.4\ \text{kPa} - 99.8\ \text{kPa}
$$[/tex]

Performing the subtraction:

[tex]$$
P_{\text{gauge}} = 25.6\ \text{kPa}
$$[/tex]

Thus, the gauge pressure inside the container is [tex]$25.6\ \text{kPa}$[/tex]. The correct answer is Option C.

Thanks for taking the time to read Gas Laws Fact Sheet tex begin array l l hline text Ideal gas law P V n R T hline text Ideal gas constant begin. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada