72.0 g of CH4g) (M.W. = 16.04 g/mole) are contained in a 2.32 L flask. If the flasks volume is reduced to 1.97 L upon removal of some of the gas, how much mass (in grams) of gas was removed?

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

72.0 g of CH₄(g) (M.W. = 16.04 g/mole) are contained in a 2.32 L flask. If the flask's volume is reduced to 1.97 L upon removal of some of the gas, how much mass (in grams) of gas was removed?

---

**Explanation:**

This problem involves the removal of a portion of a gas from a container, resulting in a change in volume. To determine the mass of gas removed, consider using the ideal gas law and the relationship between mass, moles, and molar mass. 

Steps for solution:
1. **Determine Initial Moles:** Use the initial conditions to find the moles of CH₄ in the flask before the removal.
2. **Apply Ideal Gas Law:** Relate the change in volume to the change in moles, assuming all other conditions remain constant.
3. **Calculate Final Moles:** Determine how many moles are left in the flask after the volume is reduced.
4. **Find Mass Removed:** Convert the difference in moles to grams using the molar mass of CH₄. 

Ensure that you have the necessary temperature and pressure data if needed, or assume standard conditions if not specified.
Transcribed Image Text:### Problem Statement 72.0 g of CH₄(g) (M.W. = 16.04 g/mole) are contained in a 2.32 L flask. If the flask's volume is reduced to 1.97 L upon removal of some of the gas, how much mass (in grams) of gas was removed? --- **Explanation:** This problem involves the removal of a portion of a gas from a container, resulting in a change in volume. To determine the mass of gas removed, consider using the ideal gas law and the relationship between mass, moles, and molar mass. Steps for solution: 1. **Determine Initial Moles:** Use the initial conditions to find the moles of CH₄ in the flask before the removal. 2. **Apply Ideal Gas Law:** Relate the change in volume to the change in moles, assuming all other conditions remain constant. 3. **Calculate Final Moles:** Determine how many moles are left in the flask after the volume is reduced. 4. **Find Mass Removed:** Convert the difference in moles to grams using the molar mass of CH₄. Ensure that you have the necessary temperature and pressure data if needed, or assume standard conditions if not specified.
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