Calculate q, w, AE, and AH for the process in which 62.8 g of nitrous oxide (laughing gas, N2O) is cooled from 172°C to 47°C at a constant pressure of 4.00 atm. The molar heat capacity for N20(g) is 38.7 J/°C · mol. q = kJ w = kJ ΔΕ Ξ kJ ΔΗΞ kJ

Chemistry
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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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**Educational Content: Thermodynamics and Energetics**

**Problem Statement:**

Calculate \( q \), \( w \), \( \Delta E \), and \( \Delta H \) for the process in which 62.8 g of nitrous oxide (laughing gas, \( \text{N}_2\text{O} \)) is cooled from 172°C to 47°C at a constant pressure of 4.00 atm. The molar heat capacity for \( \text{N}_2\text{O} (g) \) is 38.7 J/°C·mol.

**Variables to Determine:**

- \( q = \) _____ kJ
- \( w = \) _____ kJ
- \( \Delta E = \) _____ kJ
- \( \Delta H = \) _____ kJ

**Instructions:**

Use the thermodynamic equations and principles to compute the values of \( q \) (heat), \( w \) (work), \( \Delta E \) (change in internal energy), and \( \Delta H \) (change in enthalpy) for the process described.

**Interactive Elements:**

- Two buttons: "Submit Answer" and "Try Another Version"
- Note: 3 item attempts remaining for answering

**Note:** This educational problem focuses on applying the first law of thermodynamics and understanding enthalpy changes in gaseous systems when subject to temperature variations at constant pressure.
Transcribed Image Text:**Educational Content: Thermodynamics and Energetics** **Problem Statement:** Calculate \( q \), \( w \), \( \Delta E \), and \( \Delta H \) for the process in which 62.8 g of nitrous oxide (laughing gas, \( \text{N}_2\text{O} \)) is cooled from 172°C to 47°C at a constant pressure of 4.00 atm. The molar heat capacity for \( \text{N}_2\text{O} (g) \) is 38.7 J/°C·mol. **Variables to Determine:** - \( q = \) _____ kJ - \( w = \) _____ kJ - \( \Delta E = \) _____ kJ - \( \Delta H = \) _____ kJ **Instructions:** Use the thermodynamic equations and principles to compute the values of \( q \) (heat), \( w \) (work), \( \Delta E \) (change in internal energy), and \( \Delta H \) (change in enthalpy) for the process described. **Interactive Elements:** - Two buttons: "Submit Answer" and "Try Another Version" - Note: 3 item attempts remaining for answering **Note:** This educational problem focuses on applying the first law of thermodynamics and understanding enthalpy changes in gaseous systems when subject to temperature variations at constant pressure.
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