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 carbon dioxide the numerical value of a is 3.592 and the numerical value of b is 0.0429.

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The van der Waals equation of state is given by:

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

where \( R \) 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.

| Question                                                                                                  | Answer   |
|------------------------------------------------------------------------------------------------------------|----------|
| What are the units of \( a \)?                                                                             |          |
| What are the units of \( b \)?                                                                             |          |
| For carbon dioxide the numerical value of \( a \) is 3.592 and the numerical value of \( b \) is 0.0429.   |          |
| Use the van der Waals equation to calculate the pressure of a sample of carbon dioxide at 45.0 °C with a molar volume of 0.386 \( \text{L/mol} \). Round your answer to 3 significant digits. | \(\Box\) 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. | \(\Box\) atm |

The image contains an editable graph or diagram element that allows users to adjust \( x \)-axis and \( y \)-axis scaling, along with the option to toggle grid and axis display features through a small side menu with checkboxes and reset features.
Transcribed Image Text:The van der Waals equation of state is given by: \[ \left( p + a \frac{n^2}{V^2} \right) (V-nb) = nRT \] where \( R \) 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. | Question | Answer | |------------------------------------------------------------------------------------------------------------|----------| | What are the units of \( a \)? | | | What are the units of \( b \)? | | | For carbon dioxide the numerical value of \( a \) is 3.592 and the numerical value of \( b \) is 0.0429. | | | Use the van der Waals equation to calculate the pressure of a sample of carbon dioxide at 45.0 °C with a molar volume of 0.386 \( \text{L/mol} \). Round your answer to 3 significant digits. | \(\Box\) 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. | \(\Box\) atm | The image contains an editable graph or diagram element that allows users to adjust \( x \)-axis and \( y \)-axis scaling, along with the option to toggle grid and axis display features through a small side menu with checkboxes and reset features.
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