Use the van der Waals equation of state to calculate the pressure P of 2.70 mol of NH, at 481 K in a 4.30 L vessel. Use this list of van der Waals constants. P = atm Use the ideal gas equation to calculate the pressure P under the same conditions. P = atm

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Chapter1: Chemical Foundations
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**Van der Waals and Ideal Gas Calculations**

**Objective:**
Calculate the pressure \( P \) of 2.70 mol of \( \text{NH}_3 \) at 481 K in a 4.30 L vessel using two different methods: the van der Waals equation of state and the ideal gas equation. 

**Instructions:**

1. **Van der Waals Equation:**
   - Use the van der Waals equation to calculate the pressure \( P \).
   - Refer to this [list of van der Waals constants](#) for the necessary constants.
   - Input the calculated pressure in the box provided.

   \[
   P = \hspace{5cm} \text{atm}
   \]

2. **Ideal Gas Equation:**
   - Use the ideal gas equation to calculate the pressure \( P \) under the same conditions.
   - Input the calculated pressure in the box provided.

   \[
   P = \hspace{5cm} \text{atm}
   \]
Transcribed Image Text:**Van der Waals and Ideal Gas Calculations** **Objective:** Calculate the pressure \( P \) of 2.70 mol of \( \text{NH}_3 \) at 481 K in a 4.30 L vessel using two different methods: the van der Waals equation of state and the ideal gas equation. **Instructions:** 1. **Van der Waals Equation:** - Use the van der Waals equation to calculate the pressure \( P \). - Refer to this [list of van der Waals constants](#) for the necessary constants. - Input the calculated pressure in the box provided. \[ P = \hspace{5cm} \text{atm} \] 2. **Ideal Gas Equation:** - Use the ideal gas equation to calculate the pressure \( P \) under the same conditions. - Input the calculated pressure in the box provided. \[ P = \hspace{5cm} \text{atm} \]
# Van der Waals Constants

The table below provides the Van der Waals constants for various gases. These constants are used in the Van der Waals equation for real gases which accounts for the volume occupied by gas molecules and the attractive forces between them.

| Gas  | \( a \) (bar · L²/mol²) | \( a \) (atm · L²/mol²) | \( b \) (L/mol) |
|------|--------------------------|--------------------------|----------------|
| CH₄  | 2.303                    | 2.273                    | 0.0431         |
| CO₂  | 3.658                    | 3.610                    | 0.0429         |
| Cl₂  | 6.343                    | 6.260                    | 0.0542         |
| NH₃  | 4.225                    | 4.170                    | 0.0371         |
| H₂O  | 5.537                    | 5.465                    | 0.0305         |
| Xe   | 4.192                    | 4.137                    | 0.0516         |
| CCl₄ | 20.01                    | 19.75                    | 0.1281         |
| O₂   | 1.382                    | 1.363                    | 0.0319         |
| N₂   | 1.370                    | 1.351                    | 0.0387         |
| Kr   | 5.193                    | 5.121                    | 0.0106         |
| Ar   | 1.355                    | 1.336                    | 0.0320         |
| CO   | 1.472                    | 1.452                    | 0.0395         |
| H₂S  | 4.544                    | 4.481                    | 0.0434         |
| NO   | 1.370                    | 1.351                    | 0.0387         |
| N₂O  | 3.852                    | 3.799                    | 0.0444         |
| NO₂  | 5.36                     | 5.29                     | 0.0443         |
| SO₂  | 6.865                    | 6.
Transcribed Image Text:# Van der Waals Constants The table below provides the Van der Waals constants for various gases. These constants are used in the Van der Waals equation for real gases which accounts for the volume occupied by gas molecules and the attractive forces between them. | Gas | \( a \) (bar · L²/mol²) | \( a \) (atm · L²/mol²) | \( b \) (L/mol) | |------|--------------------------|--------------------------|----------------| | CH₄ | 2.303 | 2.273 | 0.0431 | | CO₂ | 3.658 | 3.610 | 0.0429 | | Cl₂ | 6.343 | 6.260 | 0.0542 | | NH₃ | 4.225 | 4.170 | 0.0371 | | H₂O | 5.537 | 5.465 | 0.0305 | | Xe | 4.192 | 4.137 | 0.0516 | | CCl₄ | 20.01 | 19.75 | 0.1281 | | O₂ | 1.382 | 1.363 | 0.0319 | | N₂ | 1.370 | 1.351 | 0.0387 | | Kr | 5.193 | 5.121 | 0.0106 | | Ar | 1.355 | 1.336 | 0.0320 | | CO | 1.472 | 1.452 | 0.0395 | | H₂S | 4.544 | 4.481 | 0.0434 | | NO | 1.370 | 1.351 | 0.0387 | | N₂O | 3.852 | 3.799 | 0.0444 | | NO₂ | 5.36 | 5.29 | 0.0443 | | SO₂ | 6.865 | 6.
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