Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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![**Using the Ideal Gas Law to Determine an Unknown Property**
In this exercise, we will apply the ideal gas law to calculate an unknown property of a gas sample.
**Problem Statement:**
A sample of O₂ gas has the following properties:
- Volume: 811 mL
- Pressure: 541 mm Hg
- Temperature: 13.6 °C
**Objective:** Calculate the amount (in moles) of O₂ in the gas sample.
**Solution:**
To solve this problem, use the ideal gas law equation:
\[ PV = nRT \]
Where:
- \( P \) = pressure in atm
- \( V \) = volume in liters
- \( n \) = number of moles
- \( R \) = ideal gas constant (0.0821 L·atm/mol·K)
- \( T \) = temperature in Kelvin
Make sure to convert the given values to the appropriate units:
1. Convert the volume from mL to L.
2. Convert the pressure from mm Hg to atm.
3. Convert the temperature from °C to Kelvin.
Finally, use the rearranged ideal gas law formula to find \( n \):
\[ n = \frac{PV}{RT} \]
Enter your answer in the provided box in moles.](https://content.bartleby.com/qna-images/question/b8731af5-23ed-4fe5-8b12-d0cb96af1906/2fa686e2-712b-484f-b5b7-712e90219320/gzudu2b_processed.png)
Transcribed Image Text:**Using the Ideal Gas Law to Determine an Unknown Property**
In this exercise, we will apply the ideal gas law to calculate an unknown property of a gas sample.
**Problem Statement:**
A sample of O₂ gas has the following properties:
- Volume: 811 mL
- Pressure: 541 mm Hg
- Temperature: 13.6 °C
**Objective:** Calculate the amount (in moles) of O₂ in the gas sample.
**Solution:**
To solve this problem, use the ideal gas law equation:
\[ PV = nRT \]
Where:
- \( P \) = pressure in atm
- \( V \) = volume in liters
- \( n \) = number of moles
- \( R \) = ideal gas constant (0.0821 L·atm/mol·K)
- \( T \) = temperature in Kelvin
Make sure to convert the given values to the appropriate units:
1. Convert the volume from mL to L.
2. Convert the pressure from mm Hg to atm.
3. Convert the temperature from °C to Kelvin.
Finally, use the rearranged ideal gas law formula to find \( n \):
\[ n = \frac{PV}{RT} \]
Enter your answer in the provided box in moles.
Expert Solution
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Step 1
Given -
Volume of O2 =811 mL = 0.811 L
(1L = 1000ml)
Pressure of O2= 41 mmHg
Temperature =13.6 °C = 13.6 + 273 = 286.6 K
Step by stepSolved in 2 steps with 1 images
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