It looks like the image you've uploaded is a cover or title slide for a set of
Ideal Gas Law practice problems, not an actual problem to solve. The image explains the
Ideal Gas Law equation:
\[
PV = nRT
\]
Where:
- \( P \) = pressure of the gas (in atm or other units)
- \( V \) = volume of the gas (in liters, L)
- \( n \) = number of moles of gas
- \( R \) = ideal gas constant (0.0820573 L·atm·K⁻¹·mol⁻¹ or 8.3144598 J·K⁻¹·mol⁻¹)
- \( T \) = temperature in Kelvin (K)
The image also indicates that this material is intended for
Grades 9–12 and includes
practice problems.
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However, since there's no specific problem shown in the image, I can't solve a particular question.
But here’s how you would
solve an Ideal Gas Law problem step-by-step, with an example:
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✔ Example Problem:
> What is the volume of 2.5 moles of nitrogen gas at a pressure of 1.5 atm and a temperature of 298 K?
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🔍 Step-by-Step Solution:
We use the Ideal Gas Law:
\[
PV = nRT
\]
We want to find \( V \), so rearrange:
\[
V = \frac{nRT}{P}
\]
Given:
- \( n = 2.5 \) mol
- \( R = 0.0820573 \) L·atm·K⁻¹·mol⁻¹
- \( T = 298 \) K
- \( P = 1.5 \) atm
Now plug in:
\[
V = \frac{(2.5)(0.0820573)(298)}{1.5}
\]
Calculate numerator:
\[
(2.5)(0.0820573) = 0.20514325
\]
\[
0.20514325 \times 298 = 61.1327
\]
Now divide:
\[
V = \frac{61.1327}{1.5} \approx 40.75 \text{ L}
\]
✔ Answer: The volume is approximately
40.75 liters.
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📌 Tips for Solving Ideal Gas Law Problems:
1.
Always convert temperature to Kelvin:
\( T(K) = T(°C) + 273.15 \)
2.
Check units: Make sure pressure, volume, and \( R \) are consistent.
3.
Identify what you're solving for and rearrange the formula accordingly.
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If you have a specific problem from the "Practice Problems" section that you'd like me to solve, please provide it (either type it out or upload the image with the actual question). I’d be happy to help!
Parent Tip: Review the logic above to help your child master the concept of ideal gas law practice worksheet.
