A sample of an unknown compound is vaporized at 150*C. The gas produced has a volume of 1240mL at a pressure of 1.00atm, and it weighs 3.72g. Assuming the gas behaves as an ideal gas under these conditions, calculate the molar mass of the compound. Round your answer to 3 significant digits
A sample of an unknown compound is vaporized at 150*C. The gas produced has a volume of 1240mL at a pressure of 1.00atm, and it weighs 3.72g. Assuming the gas behaves as an ideal gas under these conditions, calculate the molar mass of the compound. Round your answer to 3 significant digits
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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A sample of an unknown compound is vaporized at 150*C. The gas produced has a volume of 1240mL at a pressure of 1.00atm, and it weighs 3.72g. Assuming the gas behaves as an ideal gas under these conditions, calculate the molar mass of the compound. Round your answer to 3 significant digits.
![**Understanding Molar Mass Calculations Using the Ideal Gas Law**
A sample of an unknown compound is vaporized at 150°C. The gas produced has a volume of 1240 mL at a pressure of 1.00 atm, and it weighs 3.72 g.
Assuming the gas behaves as an ideal gas under these conditions, calculate the molar mass of the compound. Round your answer to 3 significant digits.
---
**Details of the Assessment:**
- **Volume of Gas:** 1240 mL
- **Pressure:** 1.00 atm
- **Mass of Gas:** 3.72 g
- **Temperature:** 150°C
**Steps to Calculate:**
1. **Convert the Volume from mL to L:** \( \text{Volume in L} = \text{Volume in mL} \times \frac{1}{1000} \)
2. **Convert Temperature to Kelvin:** \( \text{Temperature in K} = \text{Temperature in °C} + 273.15 \)
3. **Use the Ideal Gas Law:** \( PV = nRT \)
- \( P \) = Pressure in atm
- \( V \) = Volume in L
- \( n \) = Number of moles
- \( R \) = Ideal gas constant \( (0.0821 \, \text{L atm K}^{-1} \text{mol}^{-1}) \)
- \( T \) = Temperature in K
4. **Calculate the Number of Moles (\( n \)):** Rearrange the ideal gas law to solve for \( n \):
\[
n = \frac{PV}{RT}
\]
5. **Calculate the Molar Mass (\( M \)):**
\[
M = \frac{\text{mass of gas}}{n}
\]
**Graphical Interface:**
The interface includes input fields for the gas measurement and a "Check" button to verify calculations.
**Resources and Help:**
- **Explanation and Guidance:** Additional explanations are available for each step.
- **Checking Facility:** Use the "Check" button to validate your answer.
Ensure precision in your calculations and round off your final result to three significant digits as needed.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd37d50d8-93d1-467d-90d5-13298d0e52a9%2Fc2353cc5-3eba-417b-93d6-b8cde94569df%2F7d0eds8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Understanding Molar Mass Calculations Using the Ideal Gas Law**
A sample of an unknown compound is vaporized at 150°C. The gas produced has a volume of 1240 mL at a pressure of 1.00 atm, and it weighs 3.72 g.
Assuming the gas behaves as an ideal gas under these conditions, calculate the molar mass of the compound. Round your answer to 3 significant digits.
---
**Details of the Assessment:**
- **Volume of Gas:** 1240 mL
- **Pressure:** 1.00 atm
- **Mass of Gas:** 3.72 g
- **Temperature:** 150°C
**Steps to Calculate:**
1. **Convert the Volume from mL to L:** \( \text{Volume in L} = \text{Volume in mL} \times \frac{1}{1000} \)
2. **Convert Temperature to Kelvin:** \( \text{Temperature in K} = \text{Temperature in °C} + 273.15 \)
3. **Use the Ideal Gas Law:** \( PV = nRT \)
- \( P \) = Pressure in atm
- \( V \) = Volume in L
- \( n \) = Number of moles
- \( R \) = Ideal gas constant \( (0.0821 \, \text{L atm K}^{-1} \text{mol}^{-1}) \)
- \( T \) = Temperature in K
4. **Calculate the Number of Moles (\( n \)):** Rearrange the ideal gas law to solve for \( n \):
\[
n = \frac{PV}{RT}
\]
5. **Calculate the Molar Mass (\( M \)):**
\[
M = \frac{\text{mass of gas}}{n}
\]
**Graphical Interface:**
The interface includes input fields for the gas measurement and a "Check" button to verify calculations.
**Resources and Help:**
- **Explanation and Guidance:** Additional explanations are available for each step.
- **Checking Facility:** Use the "Check" button to validate your answer.
Ensure precision in your calculations and round off your final result to three significant digits as needed.
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