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# Ideal Gas Law Calculation Example

Created by
@AutonomousSparkle

## Questions and Answers

### What flows between a system and its surroundings?

• Light
• Electricity
• Heat (correct)
• Sound
• ### Which part of the universe is under study in thermodynamics?

• Energy
• Universe
• System (correct)
• Surroundings
• ### What is defined as the surroundings in thermodynamics?

• System under study
• Everything outside the system (correct)
• Heat flow
• Energy storage
• ### Which term in thermodynamics describes the part of the universe under consideration?

<p>System</p> Signup and view all the answers

### What specifically flows between a system and its surroundings?

<p>Energy</p> Signup and view all the answers

### Which of the following best describes the intermolecular forces of a gas?

<p>Repulsion between gas particles</p> Signup and view all the answers

### What is the relationship between pressure (P) and volume (V) according to the ideal gas equation?

<p>No relationship</p> Signup and view all the answers

### What does the gas constant 'R' represent in the ideal gas equation PV = nRT?

<p>Rate of reaction of gases</p> Signup and view all the answers

### Which statement about intermolecular forces in gases is false?

<p>Gases exhibit strong repulsion with other gas particles.</p> Signup and view all the answers

### In the ideal gas equation, what does 'n' represent?

<p>'Neutron' constant for gases</p> Signup and view all the answers

### What is the ideal gas constant in the given text?

<p>0.082</p> Signup and view all the answers

### What is the value of the term '𝑉 (1.82)(0.082)(69.5 + 273)' in the given text?

<p>9.42</p> Signup and view all the answers

### What is the unit of the ideal gas constant used in the calculation?

<p>L/mol·K</p> Signup and view all the answers

### In the formula 𝑛𝑅𝑇 𝑃= 𝑉 (1.82)(0.082)(69.5 + 273), what does '𝑉' represent?

<p>Volume</p> Signup and view all the answers

### What does 'STP' stand for in the given text?

<p>Standard Temperature &amp; Pressure</p> Signup and view all the answers

### Which type of system allows the passage of mass, heat, and work?

<p>Open system</p> Signup and view all the answers

### In a closed system, is the transfer of mass allowed?

<p>No</p> Signup and view all the answers

### Which type of system allows the transfer of heat and work but not mass?

<p>Closed system</p> Signup and view all the answers

### If a system allows the passage of mass but not heat or work, what type of system is it?

<p>Isolated system</p> Signup and view all the answers

### Which type of system restricts the transfer of both mass and heat?

<p>Isolated system</p> Signup and view all the answers

### Which statement is true about the volume of a real gas compared to an ideal gas?

<p>The volume of a real gas is larger than that of an ideal gas</p> Signup and view all the answers

### How does the pressure of a real gas compare to that of an ideal gas?

<p>The pressure of a real gas is lower than that of an ideal gas</p> Signup and view all the answers

### If the volume of an ideal gas is 4.5 L, what would you expect the volume of a real gas under similar conditions to be?

<p>More than 4.5 L</p> Signup and view all the answers

### What effect does temperature have on the pressure exerted by a real gas compared to an ideal gas?

<p>Real gases have lower pressures at higher temperatures compared to ideal gases</p> Signup and view all the answers

### In a steel vessel containing 2 moles of an ideal gas at 300 K, how does the pressure compare to the pressure exerted by 2 moles of a real gas at the same temperature?

<p>The real gas exerts a lower pressure than the ideal gas</p> Signup and view all the answers

## Study Notes

### Ideal Gas

• Ideal gas does not have intermolecular forces (attraction or repulsion) with other gas particles.
• Ideal gas equation: PV = nRT, where R is the gas constant.

### Real Gas vs Ideal Gas

• Real gas has a larger volume (V real > V ideal) due to molecular interactions.
• Real gas has a lower pressure (P real < P ideal) due to molecular interactions.

### Example Problems

• Example 1: Calculating pressure of sulfur hexafluoride (SF6) ideal gas in a steel vessel:
• Given: n = 1.82 moles, V = 5.43 L, T = 69.5°C
• Solution: P = nRT / V = (1.82)(0.082)(69.5 + 273) / 5.43 = 9.42 atm
• Example 2: Calculating volume occupied by CO2 at STP:
• Given: mass of CO2 = 7.40 g
• Solution: (not shown in the provided text)

### Thermodynamic Terms

• System: The part of the universe under study.
• Open System: A system with a wall that allows the passage of mass, heat, and work.
• Closed System: A system that only allows the transfer of heat and work, not mass.

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## Description

Learn how to calculate the volume occupied by a gas at STP using the ideal gas law formula. Practice with an example involving 7.40 g of CO2 at standard temperature and pressure.

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