The van der Waals equation compensates for non-ideal behavior of gases by taking into account intermolecular forces and the volume of the gas molecules. For CO, a = 1.505 L²atm/mol? and b = 0.03985 L/mol. Use the van der Waals equation to determine the pressure, in atmospheres, of 1.50 moles of CO gas in a 3.00 L flask at 25.0°C. Remember the gas constant, R, is 0.08206 L·atm/mol· K. %3D P + a (V – nb ) = nRT V.

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### Van der Waals Equation for Non-Ideal Gases

The van der Waals equation compensates for non-ideal behavior of gases by taking into account intermolecular forces and the finite volume of gas molecules. This equation is particularly useful for understanding real gas behavior as opposed to ideal gases.

#### Parameters for Carbon Monoxide (CO)
- **a** = 1.505 L²·atm/mol² 
- **b** = 0.03985 L/mol

### Problem Statement
Use the van der Waals equation to determine the pressure (in atmospheres) of 1.50 moles of CO gas in a 3.00 L flask at 25.0°C. 

#### Gas Constant
- **R** = 0.08206 L·atm/mol·K

#### Van der Waals Equation
\[ \left( P + a \left( \frac{n}{V} \right)^2 \right) (V - nb) = nRT \]

Where:
- \( P \) is the pressure,
- \( n \) is the number of moles,
- \( V \) is the volume,
- \( T \) is the temperature in Kelvin,
- \( a \) and \( b \) are specific constants for each gas.

This equation adjusts the ideal gas law to accommodate real-world behaviors of gases by addressing molecular volume and intermolecular forces, providing a more accurate representation under various conditions.
Transcribed Image Text:### Van der Waals Equation for Non-Ideal Gases The van der Waals equation compensates for non-ideal behavior of gases by taking into account intermolecular forces and the finite volume of gas molecules. This equation is particularly useful for understanding real gas behavior as opposed to ideal gases. #### Parameters for Carbon Monoxide (CO) - **a** = 1.505 L²·atm/mol² - **b** = 0.03985 L/mol ### Problem Statement Use the van der Waals equation to determine the pressure (in atmospheres) of 1.50 moles of CO gas in a 3.00 L flask at 25.0°C. #### Gas Constant - **R** = 0.08206 L·atm/mol·K #### Van der Waals Equation \[ \left( P + a \left( \frac{n}{V} \right)^2 \right) (V - nb) = nRT \] Where: - \( P \) is the pressure, - \( n \) is the number of moles, - \( V \) is the volume, - \( T \) is the temperature in Kelvin, - \( a \) and \( b \) are specific constants for each gas. This equation adjusts the ideal gas law to accommodate real-world behaviors of gases by addressing molecular volume and intermolecular forces, providing a more accurate representation under various conditions.
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