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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![**Problem Statement:**
Calculate the heat, in kJ, that would be involved in condensing 18.5 g of CH₃OH. (ΔHvap = 38.0 kJ/mol)
---
**Explanation:**
This problem requires calculating the heat released when a certain amount of methanol (CH₃OH) is condensed from its gaseous form to its liquid form. The heat of vaporization (ΔHvap) of methanol is given as 38.0 kJ/mol.
**Steps to Solve:**
1. **Determine Moles of CH₃OH:**
- Find the molar mass of CH₃OH:
- C = 12.01 g/mol
- H = 1.01 g/mol × 4 = 4.04 g/mol
- O = 16.00 g/mol
- Total = 12.01 + 4.04 + 16.00 = 32.05 g/mol
- Calculate moles of CH₃OH:
- Moles = mass (g) / molar mass (g/mol)
- Moles = 18.5 g / 32.05 g/mol
2. **Calculate Heat Involved:**
- Use the formula: Heat (kJ) = moles × ΔHvap (kJ/mol)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff0c7c0e9-1042-4b47-9e78-c6aaeaae6479%2F15ece877-24da-4d70-841c-ee73425fb28e%2Fn8l4xy_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Calculate the heat, in kJ, that would be involved in condensing 18.5 g of CH₃OH. (ΔHvap = 38.0 kJ/mol)
---
**Explanation:**
This problem requires calculating the heat released when a certain amount of methanol (CH₃OH) is condensed from its gaseous form to its liquid form. The heat of vaporization (ΔHvap) of methanol is given as 38.0 kJ/mol.
**Steps to Solve:**
1. **Determine Moles of CH₃OH:**
- Find the molar mass of CH₃OH:
- C = 12.01 g/mol
- H = 1.01 g/mol × 4 = 4.04 g/mol
- O = 16.00 g/mol
- Total = 12.01 + 4.04 + 16.00 = 32.05 g/mol
- Calculate moles of CH₃OH:
- Moles = mass (g) / molar mass (g/mol)
- Moles = 18.5 g / 32.05 g/mol
2. **Calculate Heat Involved:**
- Use the formula: Heat (kJ) = moles × ΔHvap (kJ/mol)
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