The van der Waals equation of state was designed (by Dutch physicist Johannes van der Waals) to predict the relationship between pressure p, volume and temperature T for gases better than the Ideal Gas Law does: a v2 (V-nb)=nRT 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? The van der Waals equation of state. R stands for the gas constant and n for moles of gas. What are the units of b? For ethane the numerical value of a is 5.507 and the numerical value of b is 0.0651. Use the van der Waals equation to calculate the pressure of a sample of ethane at 85.0 °C with a molar volume of 0.781 L/mol. Round your answer to the correct number of significant digits. Use the Ideal Gas Law to calculate the pressure of the same sample under the same conditions. Round your answer to the correct number of significant digits. 0 0 Da atm Da atm Olo X 0.0
The van der Waals equation of state was designed (by Dutch physicist Johannes van der Waals) to predict the relationship between pressure p, volume and temperature T for gases better than the Ideal Gas Law does: a v2 (V-nb)=nRT 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? The van der Waals equation of state. R stands for the gas constant and n for moles of gas. What are the units of b? For ethane the numerical value of a is 5.507 and the numerical value of b is 0.0651. Use the van der Waals equation to calculate the pressure of a sample of ethane at 85.0 °C with a molar volume of 0.781 L/mol. Round your answer to the correct number of significant digits. Use the Ideal Gas Law to calculate the pressure of the same sample under the same conditions. Round your answer to the correct number of significant digits. 0 0 Da atm Da atm Olo X 0.0
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
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![The van der Waals equation of state was designed (by Dutch physicist Johannes van der Waals) to predict the relationship between pressure \( p \), volume \( V \), and temperature \( T \) for gases better than the Ideal Gas Law does:
\[
\left( p + a \frac{n^2}{v^2} \right) (V - nb) = nRT
\]
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 \( a \)? |
|-----------------------------------|
| |
| What are the units of \( b \)? |
|-----------------------------------|
| |
For ethane, the numerical value of \( a \) is 5.507 and the numerical value of \( b \) is 0.0651.
Use the van der Waals equation to calculate the pressure of a sample of ethane at 85.0°C with a molar volume of 0.781 L/mol. Round your answer to the correct number of significant digits.
| Pressure (van der Waals) |
|-----------------------------------|
| | atm
Use the Ideal Gas Law to calculate the pressure of the same sample under the same conditions. Round your answer to the correct number of significant digits.
| Pressure (Ideal Gas Law) |
|-----------------------------------|
| | atm
There is a box illustrating a mathematical tool with buttons for mathematical notation input, but specific details of its appearance are not necessary for understanding the educational content.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4d7adbf1-3ca3-4012-a27a-9468e79345de%2F44e4c7c6-38fd-4520-89f2-d3a64ec9bf00%2Fjh0qjfd_processed.png&w=3840&q=75)
Transcribed Image Text:The van der Waals equation of state was designed (by Dutch physicist Johannes van der Waals) to predict the relationship between pressure \( p \), volume \( V \), and temperature \( T \) for gases better than the Ideal Gas Law does:
\[
\left( p + a \frac{n^2}{v^2} \right) (V - nb) = nRT
\]
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 \( a \)? |
|-----------------------------------|
| |
| What are the units of \( b \)? |
|-----------------------------------|
| |
For ethane, the numerical value of \( a \) is 5.507 and the numerical value of \( b \) is 0.0651.
Use the van der Waals equation to calculate the pressure of a sample of ethane at 85.0°C with a molar volume of 0.781 L/mol. Round your answer to the correct number of significant digits.
| Pressure (van der Waals) |
|-----------------------------------|
| | atm
Use the Ideal Gas Law to calculate the pressure of the same sample under the same conditions. Round your answer to the correct number of significant digits.
| Pressure (Ideal Gas Law) |
|-----------------------------------|
| | atm
There is a box illustrating a mathematical tool with buttons for mathematical notation input, but specific details of its appearance are not necessary for understanding the educational content.
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