### The van der Waals Equation of StateThe van der Waals equation is given by:\[\left( p + a \frac{n^2}{V^2} \right) (V - nb) = nRT\]Where \( R \) is the gas constant and \( n \) is the number of moles of gas.#### Parameters- **\( a \)** and **\( b \)**: Specific to each gas, determined from experimental data.### Units of Parameters- **Units of \( a \):** \(\text{atm} \cdot \text{L}^2/\text{mol}^2\)- **Units of \( b \):** \(\text{L/mol}\)### Calculation Tasks1. **Van der Waals Pressure Calculation:** - For carbon dioxide, \( a = 3.592 \) and \( b = 0.0429 \). - Calculate the pressure of a CO2 sample at 70.0 °C with a molar volume of 4.50 L/mol using the van der Waals equation. - Provide your answer rounded to 3 significant digits. - Final pressure: \(\boxed{\text{atm}}\)2. **Ideal Gas Law Calculation:** - Calculate the pressure of the same CO2 sample under the same conditions using the Ideal Gas Law. - Round your answer to 3 significant digits. - Final pressure: \(\boxed{\text{atm}}\)### Diagram DescriptionThere is no graph or diagram to describe in this material. This content provides a foundational understanding of applying the van der Waals equation for calculating the pressure of gases, highlighting the importance of parameters \( a \) and \( b \), and compares results with the Ideal Gas Law for educational purposes.

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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. 2 atm·L What are the units of a? mol What are the units of b? mol For carbon dioxide the numerical value of a is 3.592 and the numerical value of b is 0.0429. |atm Use the van der Waals equation to calculate the pressure of a sample of carbon dioxide at 70.0 °C with a molar volume of 4.50 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. 2 atm·L What are the units of a? mol What are the units of b? mol For carbon dioxide the numerical value of a is 3.592 and the numerical value of b is 0.0429. |atm Use the van der Waals equation to calculate the pressure of a sample of carbon dioxide at 70.0 °C with a molar volume of 4.50 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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