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? mol

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...
icon
Related questions
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
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Mole Concept
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY