### Van der Waals Equation Application**Problem Statement:**Use the van der Waals equation to calculate the pressure, in atm, of 37.49 mol of hydrogen at 108 °C in a 1.65 L container.**Van der Waals Constants for Some Common Gases:**| Gas | \( a \, \left(\frac{\text{atm} \cdot \text{L}^2}{\text{mol}^2}\right) \) | \( b \, \left(\frac{\text{L}}{\text{mol}}\right) \) ||------|------------------------------------------------|----------------------------------------------|| He | 0.034 | 0.0237 || H₂ | 0.244 | 0.0266 || N₂ | 1.39 | 0.0391 || O₂ | 1.36 | 0.0318 || Cl₂ | 6.49 | 0.0562 || CO₂ | 3.59 | 0.0427 || CH₄ | 2.25 | 0.0428 |**Calculation:**1. Convert temperature from Celsius to Kelvin: \[ T(K) = 108 + 273.15 = 381.15 \, K \]2. Use the van der Waals equation to find the pressure \( P \): \[ \left( P + \frac{an^2}{V^2} \right) \times (V - nb) = nRT \] where, - \( n = 37.49 \, \text{mol} \) - \( V = 1.65 \, \text{L} \) - \( R = 0.0821 \, \frac{\text{L atm}}{\text{mol K}} \) - \( a = 0.244 \, \frac{\text{atm} \cdot \text{L}^2}{\text{mol}^2} \) - \( b = 0.0266 \, \frac{\text{L}}{\text{mol}} \) - \( T = 381.15 \, K \

This problem can be solved by using the Van der Waal equation - [P + an2/V2] * [ V - nb] = nRT

Use the van der Waals equation to calculate the pressure, in atm, of 37.49 mol of hydrogen at 108 °C in a 1.65L container. Values of van der Waals Constants for Some Common Gases atm L2 a mol? bl mol Gas Не 0.034 0.0237 H2 N2 O2 Cl2 CO2 CH4 0.244 0.0266 0.0391 0.0318 1.39 1.36 6.49 0.0562 3.59 0.0427 2.25 0.0428 Answer:

Use the van der Waals equation to calculate the pressure, in atm, of 37.49 mol of hydrogen at 108 °C in a 1.65L container. Values of van der Waals Constants for Some Common Gases atm L2 a mol? bl mol Gas Не 0.034 0.0237 H2 N2 O2 Cl2 CO2 CH4 0.244 0.0266 0.0391 0.0318 1.39 1.36 6.49 0.0562 3.59 0.0427 2.25 0.0428 Answer:

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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