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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Question
![**Problem Statement:**
*How many moles of oxygen (O₂) are contained in a 7.7 L cylinder that has a pressure of 124 atm and a temperature of 20.°C?*
**Solution:**
To solve this problem, we can use the Ideal Gas Law equation:
\[ PV = nRT \]
Where:
- \( P \) = pressure in atm (124 atm)
- \( V \) = volume in liters (7.7 L)
- \( n \) = number of moles of gas (what we want to find)
- \( R \) = ideal gas constant (0.0821 L·atm/mol·K)
- \( T \) = temperature in Kelvin (K)
First, convert the temperature from Celsius to Kelvin:
\[ T(K) = 20.°C + 273.15 = 293.15 \, K \]
Now, substitute the values into the Ideal Gas Law equation and solve for \( n \):
\[ n = \frac{PV}{RT} = \frac{(124 \, \text{atm}) \times (7.7 \, \text{L})}{(0.0821 \, \text{L·atm/mol·K}) \times (293.15 \, \text{K})} \]
Calculate \( n \) to find the number of moles of oxygen.
**Answer Box:**
\[ \boxed{\phantom{xxx}} \] mol](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faed2933e-b67f-42a0-9fac-b6dce0e828b0%2F80826173-1905-4839-9913-6410bd4a1759%2Fitf6n0c.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
*How many moles of oxygen (O₂) are contained in a 7.7 L cylinder that has a pressure of 124 atm and a temperature of 20.°C?*
**Solution:**
To solve this problem, we can use the Ideal Gas Law equation:
\[ PV = nRT \]
Where:
- \( P \) = pressure in atm (124 atm)
- \( V \) = volume in liters (7.7 L)
- \( n \) = number of moles of gas (what we want to find)
- \( R \) = ideal gas constant (0.0821 L·atm/mol·K)
- \( T \) = temperature in Kelvin (K)
First, convert the temperature from Celsius to Kelvin:
\[ T(K) = 20.°C + 273.15 = 293.15 \, K \]
Now, substitute the values into the Ideal Gas Law equation and solve for \( n \):
\[ n = \frac{PV}{RT} = \frac{(124 \, \text{atm}) \times (7.7 \, \text{L})}{(0.0821 \, \text{L·atm/mol·K}) \times (293.15 \, \text{K})} \]
Calculate \( n \) to find the number of moles of oxygen.
**Answer Box:**
\[ \boxed{\phantom{xxx}} \] mol
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