뒤로General Chemistry Study Guide: Gas Laws, Intermolecular Forces, and Solutions
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Q1. A balloon is being filled with helium gas (He). 0.278 moles of Helium are added to the balloon, and a volume of 847 mL is recorded. How many liters is the balloon after 0.423 more moles of Helium are added?
Background
Topic: Avogadro’s Law (Gas Laws)
This question tests your understanding of the direct relationship between the number of moles of a gas and its volume at constant temperature and pressure.
Key Terms and Formulas
Avogadro’s Law:
= initial volume, = initial moles
= final volume, = final moles
Step-by-Step Guidance
Convert the initial volume from mL to L:
Calculate the final number of moles:
Set up Avogadro’s Law:
Rearrange to solve for :
Try solving on your own before revealing the answer!
Final Answer: 1.94 L
First, convert 847 mL to 0.847 L. The final moles are mol. Plug into Avogadro’s Law:
So, the balloon will have a volume of approximately 2.13 L after the additional helium is added.
Q2. A balloon has 1.489 moles of He. The volume of the balloon was recorded to be 29.6 L. How many liters is the balloon after 2.14 g of He is removed?
Background
Topic: Avogadro’s Law (Gas Laws)
This question tests your ability to relate changes in the amount of gas (in moles) to changes in volume, using Avogadro’s Law.
Key Terms and Formulas
Avogadro’s Law:
Molar mass of He: 4.00 g/mol
Step-by-Step Guidance
Calculate the number of moles of He removed:
Find the final number of moles:
Set up Avogadro’s Law:
Rearrange to solve for :
Try solving on your own before revealing the answer!
Final Answer: 25.3 L
2.14 g He is mol. mol.
The balloon’s volume decreases to approximately 19.0 L after removing 2.14 g of He.
Q3. A 0.350 mol sample occupies 7.24 L. What volume will 0.572 mol occupy under the same conditions?
Background
Topic: Avogadro’s Law (Gas Laws)
This question tests your ability to use the direct proportionality between moles and volume for a gas at constant temperature and pressure.
Key Terms and Formulas
Avogadro’s Law:
Step-by-Step Guidance
Identify the known values: mol, L, mol
Set up Avogadro’s Law:
Rearrange to solve for :
Try solving on your own before revealing the answer!
Final Answer: 11.8 L
The volume increases proportionally with the number of moles.
Q4. The volume of air in a car tire is 6.3 L, and there are 4.2 mol nitrogen (N2) in the air mixture. A bicycle tire contains 2.7 L of air; how many moles of nitrogen are within the bicycle tire? Both tires contain the same air pressure, and assume a constant temperature.
Background
Topic: Avogadro’s Law (Gas Laws)
This question tests your ability to use the proportionality between volume and moles for gases at constant temperature and pressure.
Key Terms and Formulas
Avogadro’s Law:
Step-by-Step Guidance
Identify the known values: L, mol, L
Set up Avogadro’s Law:
Rearrange to solve for :
Try solving on your own before revealing the answer!
Final Answer: 1.8 mol
The number of moles is directly proportional to the volume under constant conditions.