### Transcription for Educational Website#### Differential Equation:\[ dX = (3nR) \, dT + \left(\frac{an^2}{V^2}\right) dV \]#### Constants and Variables:- \( R = 0.08206 \, \text{atm-L/mol-K or 8.314 J/mol-K} \) is the gas constant.- \( a = 3.84 \, \text{atm-L}^2/\text{mol}^2 \) is the van der Waals constant.- \( n \) is the number of moles.- \( V \) is the volume.- \( T \) is the temperature.#### Problem Statement:Determine the value of \[ \left( \frac{\partial X}{\partial V} \right)_T \](in units of atm) when \( n = 1 \, \text{mol} \), \( V = 25.3 \, \text{L} \), and \( T = 310 \, \text{K} \) (with 3 significant figures).---There are no graphs or diagrams to describe.

Answered: Image /qna-images/answer/661a0a99-87ce-4732-af05-79f352dab3a6.jpg

dX = (3nR) dT +( an- -)dv where R (= 0.08206 atm-L/mol-K or 8.314 J/mol-K) is the gas constant; van der Waals constant a = 3.84 atm-L2/mo²; n is the number of mole, V is the volume and I is the temperature. Determine the value of av (in units of atm) when n= 1 mol, V= 25.3 L and T=310 K (with 3 significant figures).

dX = (3nR) dT +( an- -)dv where R (= 0.08206 atm-L/mol-K or 8.314 J/mol-K) is the gas constant; van der Waals constant a = 3.84 atm-L2/mo²; n is the number of mole, V is the volume and I is the temperature. Determine the value of av (in units of atm) when n= 1 mol, V= 25.3 L and T=310 K (with 3 significant figures).

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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