Using the ideal gas law calculate the following: (a) the volume of 0.510 mol of H2 at 47 °C and 1.6 atm pressure LH2 (b) the number of grams in 16.0 L of CH4 at 27 °C and 600. torr pressure g CH4 (c) the density of CO2 at 4.00 atm pressure and -20.0 °C g/L CO2

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Chapter1: Chemical Foundations
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Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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**Using the ideal gas law, calculate the following:**

(a) The volume of 0.510 mol of H₂ at 47°C and 1.6 atm pressure  
\[ \Large \text{L}_{\text{H}_2} \]  

(b) The number of grams in 16.0 L of CH₄ at 27°C and 600. torr pressure  
\[ \Large \text{g CH}_4 \]  

(c) The density of CO₂ at 4.00 atm pressure and -20.0°C  
\[ \Large \text{g/L CO}_2 \]  

**Instructions:**
- Use the ideal gas law: \( PV = nRT \).
- For density calculations, consider the molar mass and use \( \text{density} = \frac{\text{mass}}{\text{volume}} \). 
- Convert all temperatures to Kelvin.
- Ensure all units are consistent for pressure and volume.
Transcribed Image Text:**Using the ideal gas law, calculate the following:** (a) The volume of 0.510 mol of H₂ at 47°C and 1.6 atm pressure \[ \Large \text{L}_{\text{H}_2} \] (b) The number of grams in 16.0 L of CH₄ at 27°C and 600. torr pressure \[ \Large \text{g CH}_4 \] (c) The density of CO₂ at 4.00 atm pressure and -20.0°C \[ \Large \text{g/L CO}_2 \] **Instructions:** - Use the ideal gas law: \( PV = nRT \). - For density calculations, consider the molar mass and use \( \text{density} = \frac{\text{mass}}{\text{volume}} \). - Convert all temperatures to Kelvin. - Ensure all units are consistent for pressure and volume.
**Transcription for Educational Content:**

(c) Calculate the density of CO₂ at a pressure of 4.00 atm and a temperature of -20.0°C.

Input box: [          ] g/L CO₂

(d) Determine the molar mass of a gas that has a density of 2.58 g/L at a temperature of 27°C and a pressure of 1.00 atm.

Input box: [          ] g/mol

**Explanation:**

This section appears to be part of an educational exercise involving gas laws and their applications. Users are prompted to calculate the density and molar mass of gases under specified conditions, and input their answers in the designated fields. The information may be used to understand the behavior of gases under varying pressures and temperatures, utilizing principles such as the ideal gas law.
Transcribed Image Text:**Transcription for Educational Content:** (c) Calculate the density of CO₂ at a pressure of 4.00 atm and a temperature of -20.0°C. Input box: [ ] g/L CO₂ (d) Determine the molar mass of a gas that has a density of 2.58 g/L at a temperature of 27°C and a pressure of 1.00 atm. Input box: [ ] g/mol **Explanation:** This section appears to be part of an educational exercise involving gas laws and their applications. Users are prompted to calculate the density and molar mass of gases under specified conditions, and input their answers in the designated fields. The information may be used to understand the behavior of gases under varying pressures and temperatures, utilizing principles such as the ideal gas law.
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