If 3.05 mol of an ideal gas has a pressure of 2.58 atm and a volume of 66.37 L, what is the temperature of the sample in degrees Celsius? T = °C
If 3.05 mol of an ideal gas has a pressure of 2.58 atm and a volume of 66.37 L, what is the temperature of the sample in degrees Celsius? T = °C
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:**
If 3.05 mol of an ideal gas has a pressure of 2.58 atm and a volume of 66.37 L, what is the temperature of the sample in degrees Celsius?
\[ T = \underline{\hspace{70mm}} \, ^\circ\text{C} \]
**Instructions:**
Use the ideal gas law to calculate the temperature:
\[ PV = nRT \]
Where:
- \( P \) is the pressure in atmospheres (atm).
- \( V \) is the volume in liters (L).
- \( n \) is the amount of substance in moles (mol).
- \( R \) is the ideal gas constant, \( R = 0.0821 \, \text{L} \cdot \text{atm} / \text{mol} \cdot \text{K} \).
- \( T \) is the temperature in Kelvin (K).
To find the temperature in degrees Celsius, use the conversion:
\[ T(^\circ \text{C}) = T(\text{K}) - 273.15 \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F861073eb-90f0-4339-aab4-71455772cad6%2F1ddb2c17-ae26-4369-9bcf-c720b30ed197%2F3x50f7_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
If 3.05 mol of an ideal gas has a pressure of 2.58 atm and a volume of 66.37 L, what is the temperature of the sample in degrees Celsius?
\[ T = \underline{\hspace{70mm}} \, ^\circ\text{C} \]
**Instructions:**
Use the ideal gas law to calculate the temperature:
\[ PV = nRT \]
Where:
- \( P \) is the pressure in atmospheres (atm).
- \( V \) is the volume in liters (L).
- \( n \) is the amount of substance in moles (mol).
- \( R \) is the ideal gas constant, \( R = 0.0821 \, \text{L} \cdot \text{atm} / \text{mol} \cdot \text{K} \).
- \( T \) is the temperature in Kelvin (K).
To find the temperature in degrees Celsius, use the conversion:
\[ T(^\circ \text{C}) = T(\text{K}) - 273.15 \]
Expert Solution
Step 1
Given
Number of mole of ideal gas ( n ) = 3.05 mole
Pressure ( P ) = 2.58 atm
Volume ( V ) = 66.37 Liter
Temperature ( T ) = ?
Step by step
Solved in 2 steps
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