emical reaction to produce 4.38 L of oxygen gas at th

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
**Question:**

If you expect a chemical reaction to produce 4.38 L of oxygen gas at 19°C and 101 kPa, what will be the volume at 25°C and 98 kPa?

**Explanation:**

This problem involves using the Ideal Gas Law and the combined gas law formula to determine the change in volume of a gas under different conditions of temperature and pressure. 

**Solution Approach:**

The combined gas law is:

\[ \frac{P_1 \times V_1}{T_1} = \frac{P_2 \times V_2}{T_2} \]

Where:
- \( P_1 \), \( V_1 \), \( T_1 \) are the initial pressure, volume, and temperature.
- \( P_2 \), \( V_2 \), \( T_2 \) are the final pressure, volume, and temperature.
- Temperatures need to be in Kelvin, so convert: \( T(K) = T(°C) + 273.15 \).

1. Convert the temperatures from Celsius to Kelvin.
   - Initial temperature (\( T_1 \)): \( 19°C + 273.15 = 292.15 \, K \)
   - Final temperature (\( T_2 \)): \( 25°C + 273.15 = 298.15 \, K \)

2. Substitute the given values into the combined gas law and solve for the unknown volume \( V_2 \):

\[ \frac{101 \, \text{kPa} \times 4.38 \, \text{L}}{292.15 \, \text{K}} = \frac{98 \, \text{kPa} \times V_2}{298.15 \, \text{K}} \]

Solve for \( V_2 \):

\[ V_2 = \frac{101 \times 4.38 \times 298.15}{98 \times 292.15} \]

Calculate \( V_2 \) to find the solution.
Transcribed Image Text:**Question:** If you expect a chemical reaction to produce 4.38 L of oxygen gas at 19°C and 101 kPa, what will be the volume at 25°C and 98 kPa? **Explanation:** This problem involves using the Ideal Gas Law and the combined gas law formula to determine the change in volume of a gas under different conditions of temperature and pressure. **Solution Approach:** The combined gas law is: \[ \frac{P_1 \times V_1}{T_1} = \frac{P_2 \times V_2}{T_2} \] Where: - \( P_1 \), \( V_1 \), \( T_1 \) are the initial pressure, volume, and temperature. - \( P_2 \), \( V_2 \), \( T_2 \) are the final pressure, volume, and temperature. - Temperatures need to be in Kelvin, so convert: \( T(K) = T(°C) + 273.15 \). 1. Convert the temperatures from Celsius to Kelvin. - Initial temperature (\( T_1 \)): \( 19°C + 273.15 = 292.15 \, K \) - Final temperature (\( T_2 \)): \( 25°C + 273.15 = 298.15 \, K \) 2. Substitute the given values into the combined gas law and solve for the unknown volume \( V_2 \): \[ \frac{101 \, \text{kPa} \times 4.38 \, \text{L}}{292.15 \, \text{K}} = \frac{98 \, \text{kPa} \times V_2}{298.15 \, \text{K}} \] Solve for \( V_2 \): \[ V_2 = \frac{101 \times 4.38 \times 298.15}{98 \times 292.15} \] Calculate \( V_2 \) to find the solution.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Energy
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