### Molar Heat Capacities of Molecular Chlorine (Cl₂)The molar heat capacities for solid, liquid, and gaseous molecular Cl₂ can be expressed in the following general form:\[\frac{C_p^\circ}{R} = a + bT + cT^2 + dT^3\]where the coefficients \(a\), \(b\), \(c\), and \(d\) are specified in the table below:| Phase | T Range (in K) | a | b (in K\(^{-1}\)) | c (in K\(^{-2}\)) | d (in K\(^{-3}\)) ||--------|-----------------|--------|-------------------|--------------------|--------------------|| solid | 15 – 172.12 | –1.545 | 0.1502 | –0.001179 | 3.441 × 10\(^{-6}\) || liquid | 172.12–239.0 | 7.689 | 0.005582 | –1.954 × 10\(^{-5}\) | — || gas | > 239.0 | 3.812 | 0.001220 | –4.856 × 10\(^{-7}\) | — |#### Notes:- \(T_{\text{fus}} = 172.12\) K, \(\Delta_{\text{fus}}H = 6.406\) kJ/mol- \(T_{\text{vap}} = 239.0\) K, \(\Delta_{\text{vap}}H = 20.40\) kJ/mol#### Problems:(a) **Entropy Calculation:** - Use this data to find the entropy content (in J/K) for molecular chlorine at 200 K, given the absolute entropy at 15 K is 1.401 J/K.(b) **Enthalpy Change:** - Calculate the change in enthalpy, \(\Delta H\) (in kJ), when one mole of Cl₂ is heated from 200 to 250 K.

The molar heat capacities for solid, liquid, and gaseous molecular Cl₂ can be written in the following general form, where the coefficients a, b, c and d are given in the table below. Phase solid liquid gas T Range (in K) 15-172.12 172.12-239.0 > 239.0 Note: Cpº R = a +bT+cT² +dT³ a -1.545 7.689 3.812 b (in K-¹) 0.1502 0.005582 0.001220 c (in K-²) -0.001179 -1.954 x 10-5 - 4.856 x 10-7 d (in K-³) 3.441 x 10-6 Tfus = 172.12 K AfusH = 6.406 kJ/mol Tvap = 239.0 K AvapH = 20.40 kJ/mol (a) Use this data to find the entropy content (in J/K) for molecular chlorine at 200 K, if the absolute entropy at 15 K is 1.401 J/K. (b) What is the change in enthalpy, AH (in kJ), if one mole of Cl₂ is heated from 200 to 250 K?

The molar heat capacities for solid, liquid, and gaseous molecular Cl₂ can be written in the following general form, where the coefficients a, b, c and d are given in the table below. Phase solid liquid gas T Range (in K) 15-172.12 172.12-239.0 > 239.0 Note: Cpº R = a +bT+cT² +dT³ a -1.545 7.689 3.812 b (in K-¹) 0.1502 0.005582 0.001220 c (in K-²) -0.001179 -1.954 x 10-5 - 4.856 x 10-7 d (in K-³) 3.441 x 10-6 Tfus = 172.12 K AfusH = 6.406 kJ/mol Tvap = 239.0 K AvapH = 20.40 kJ/mol (a) Use this data to find the entropy content (in J/K) for molecular chlorine at 200 K, if the absolute entropy at 15 K is 1.401 J/K. (b) What is the change in enthalpy, AH (in kJ), if one mole of Cl₂ is heated from 200 to 250 K?

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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