p+a- V (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. |x10 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. | atm Use the van der Waals equation to calculate the pressure of a sample of ethane at 90.0 °C with a molar volume of 0.781 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

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The van der Waals equation of state. \( R \) stands for the gas constant and \( n \) for moles of gas.

\[
\left( p + a \frac{n^2}{V^2} \right) (V - nb) = nRT
\]

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 \( a \)?**                                                               | \text{L}^2 \cdot \text{atm/mol}^2  |
| **What are the units of \( b \)?**                                                               | \text{L/mol}  |
| **For ethane the numerical value of \( a \) is 5.507 and the numerical value of \( b \) is 0.0651.** <br> **Use the van der Waals equation to calculate the pressure of a sample of ethane at 90.0 °C with a molar volume of 0.781 L/mol. Round your answer to 3 significant digits.** | \_\_\_\_ \text{atm} |
| **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.** | \_\_\_\_ \text{atm} |

Explanation of Graphical Elements:
- There seems to be a small diagram in the original image. The components to the right side of the text are graphical editing tools and do not pertain to the equation. They serve as an interface for text arrangement and are not relevant to the educational content.
Transcribed Image Text:The van der Waals equation of state. \( R \) stands for the gas constant and \( n \) for moles of gas. \[ \left( p + a \frac{n^2}{V^2} \right) (V - nb) = nRT \] 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 \( a \)?** | \text{L}^2 \cdot \text{atm/mol}^2 | | **What are the units of \( b \)?** | \text{L/mol} | | **For ethane the numerical value of \( a \) is 5.507 and the numerical value of \( b \) is 0.0651.** <br> **Use the van der Waals equation to calculate the pressure of a sample of ethane at 90.0 °C with a molar volume of 0.781 L/mol. Round your answer to 3 significant digits.** | \_\_\_\_ \text{atm} | | **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.** | \_\_\_\_ \text{atm} | Explanation of Graphical Elements: - There seems to be a small diagram in the original image. The components to the right side of the text are graphical editing tools and do not pertain to the equation. They serve as an interface for text arrangement and are not relevant to the educational content.
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