p+a |(V-nb)=nRT The van der Waals equation of state. R stands for the gas constant and n for moles of gas. The parameters a and b must be determined for each gas from experimental data. Use the van der Waals equation to answer the questions in the table below. What are the units of a? 믐 What are the units of b? ? For argon the numerical value of a is 1.337 and the numerical value of b is 0.0320. atm Use the van der Waals equation to calculate the pressure of a sample of argon at -90.0 °C with a molar volume of 0.192 L/mol . Round your answer to 3 significant digits. Use the Ideal Gas Law to calculate the pressure of the same sample under the same conditions. Round this answer to 3 significant digits also. atm
p+a |(V-nb)=nRT The van der Waals equation of state. R stands for the gas constant and n for moles of gas. The parameters a and b must be determined for each gas from experimental data. Use the van der Waals equation to answer the questions in the table below. What are the units of a? 믐 What are the units of b? ? For argon the numerical value of a is 1.337 and the numerical value of b is 0.0320. atm Use the van der Waals equation to calculate the pressure of a sample of argon at -90.0 °C with a molar volume of 0.192 L/mol . Round your answer to 3 significant digits. Use the Ideal Gas Law to calculate the pressure of the same sample under the same conditions. Round this answer to 3 significant digits also. atm
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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![**The van der Waals Equation of State**
The van der Waals equation is given by:
\[
\left( p + a \frac{n^2}{V^2} \right) (V - nb) = nRT
\]
**R** stands for the gas constant and **n** for moles of gas.
The parameters **a** and **b** must be determined for each gas from experimental data.
Use the van der Waals equation to answer the questions in the table below.
---
### Questions:
1. **What are the units of \( a \)?**
- Answer: \([Pressure] \cdot [Volume]^2\)
2. **What are the units of \( b \)?**
- Answer: \([Volume] / [mole]\)
3. **Problem for Argon:**
For argon, the numerical value of \( a \) is 1.337 and the numerical value of \( b \) is 0.0320.
Use the van der Waals equation to calculate the pressure of a sample of argon at \(-90.0 \, ^\circ C\) with a molar volume of 0.192 \( L/mol \). Round your answer to 3 significant digits.
- Answer: \( \boxed{?} \, \text{atm} \)
4. **Use the Ideal Gas Law** to calculate the pressure of the same sample under the same conditions. Round this answer to 3 significant digits also.
- Answer: \( \boxed{?} \, \text{atm} \)
---
### Diagram Explanation:
There is a visual representation showing a square root symbol for calculations and settings to reset, undo, and offer help within a typical digital interface. This could be part of a software or digital textbook interface used to help students interact with the problem or run simulations/calculations based on the van der Waals equation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f2747d8-73cd-4f99-8eb9-7639fb8c9e08%2Fcfb66b1a-4760-43e1-808a-779a0e0114ca%2Figucjwo_processed.png&w=3840&q=75)
Transcribed Image Text:**The van der Waals Equation of State**
The van der Waals equation is given by:
\[
\left( p + a \frac{n^2}{V^2} \right) (V - nb) = nRT
\]
**R** stands for the gas constant and **n** for moles of gas.
The parameters **a** and **b** must be determined for each gas from experimental data.
Use the van der Waals equation to answer the questions in the table below.
---
### Questions:
1. **What are the units of \( a \)?**
- Answer: \([Pressure] \cdot [Volume]^2\)
2. **What are the units of \( b \)?**
- Answer: \([Volume] / [mole]\)
3. **Problem for Argon:**
For argon, the numerical value of \( a \) is 1.337 and the numerical value of \( b \) is 0.0320.
Use the van der Waals equation to calculate the pressure of a sample of argon at \(-90.0 \, ^\circ C\) with a molar volume of 0.192 \( L/mol \). Round your answer to 3 significant digits.
- Answer: \( \boxed{?} \, \text{atm} \)
4. **Use the Ideal Gas Law** to calculate the pressure of the same sample under the same conditions. Round this answer to 3 significant digits also.
- Answer: \( \boxed{?} \, \text{atm} \)
---
### Diagram Explanation:
There is a visual representation showing a square root symbol for calculations and settings to reset, undo, and offer help within a typical digital interface. This could be part of a software or digital textbook interface used to help students interact with the problem or run simulations/calculations based on the van der Waals equation.
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