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dX = (3nR) dT +( an? where R (= 0.08206 atm-L/mol-K or 8.314 J/mol-K) is the gas constant; van der Waals constant a = 4.17 atm-L2/mol2; n is the number of mole, V is the volume and T is the temperature. Determine the value of (in units of atm) when n= 1 mol, V= 23.6 L and T= 210 K (with 3 significant figures). av

dX = (3nR) dT +( an? where R (= 0.08206 atm-L/mol-K or 8.314 J/mol-K) is the gas constant; van der Waals constant a = 4.17 atm-L2/mol2; n is the number of mole, V is the volume and T is the temperature. Determine the value of (in units of atm) when n= 1 mol, V= 23.6 L and T= 210 K (with 3 significant figures). av

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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The equation given is: \[ dX = (3nR) \, dT + \left( \frac{an^2}{V^2} \right) dV \] where \( R \) (\( = 0.08206 \, \text{atm-L/mol-K} \) or \( 8.314 \, \text{J/mol-K} \)) is the gas constant, van der Waals constant \( a = 4.17 \, \text{atm-L}^2/\text{mol}^2 \); \( n \) is the number of moles, \( V \) is the volume, and \( T \) is the temperature. Determine the value of \( \left( \frac{\partial X}{\partial V} \right)_T \) (in units of atm) when \( n = 1 \, \text{mol} \), \( V = 23.6 \, \text{L} \), and \( T = 210 \, \text{K} \) (with 3 significant figures).
Transcribed Image Text:The equation given is: \[ dX = (3nR) \, dT + \left( \frac{an^2}{V^2} \right) dV \] where \( R \) (\( = 0.08206 \, \text{atm-L/mol-K} \) or \( 8.314 \, \text{J/mol-K} \)) is the gas constant, van der Waals constant \( a = 4.17 \, \text{atm-L}^2/\text{mol}^2 \); \( n \) is the number of moles, \( V \) is the volume, and \( T \) is the temperature. Determine the value of \( \left( \frac{\partial X}{\partial V} \right)_T \) (in units of atm) when \( n = 1 \, \text{mol} \), \( V = 23.6 \, \text{L} \), and \( T = 210 \, \text{K} \) (with 3 significant figures).
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The value of the ∂X∂VT is to be determined for the given expression.

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