Macmillan Learning If the heat of combustion for a specific compound is -1460.0 kJ/mol and its molar mass is 57.19 g/mol, how many grams of this compound must you burn to release 292.00 kJ of heat? mass: g 09

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:**

If the heat of combustion for a specific compound is −1460.0 kJ/mol and its molar mass is 57.19 g/mol, how many grams of this compound must you burn to release 292.00 kJ of heat?

**Solution:**

To solve for the mass needed to release 292.00 kJ of heat, use the following steps:

1. **Determine Moles Required:**
   - Use the heat of combustion to find the number of moles needed to release 292.00 kJ.
   - Formula: \( \text{moles} = \frac{\text{desired heat}}{\text{heat of combustion}} \)
   - Plug in values: \( \text{moles} = \frac{292.00 \text{ kJ}}{1460.0 \text{ kJ/mol}} \)

2. **Calculate Mass:**
   - Find the mass using the moles calculated and the molar mass.
   - Formula: \( \text{mass} = \text{moles} \times \text{molar mass} \)
   - Use the molar mass of 57.19 g/mol to find the final mass in grams.

This approach will yield the grams of the compound needed to release the specified amount of heat.

**Note:** Be sure to carry out the calculations for each step to find the exact mass required.
Transcribed Image Text:**Problem Statement:** If the heat of combustion for a specific compound is −1460.0 kJ/mol and its molar mass is 57.19 g/mol, how many grams of this compound must you burn to release 292.00 kJ of heat? **Solution:** To solve for the mass needed to release 292.00 kJ of heat, use the following steps: 1. **Determine Moles Required:** - Use the heat of combustion to find the number of moles needed to release 292.00 kJ. - Formula: \( \text{moles} = \frac{\text{desired heat}}{\text{heat of combustion}} \) - Plug in values: \( \text{moles} = \frac{292.00 \text{ kJ}}{1460.0 \text{ kJ/mol}} \) 2. **Calculate Mass:** - Find the mass using the moles calculated and the molar mass. - Formula: \( \text{mass} = \text{moles} \times \text{molar mass} \) - Use the molar mass of 57.19 g/mol to find the final mass in grams. This approach will yield the grams of the compound needed to release the specified amount of heat. **Note:** Be sure to carry out the calculations for each step to find the exact mass required.
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