All Chapters
Ch.1 - Intro to General Chemistry
Ch.2 - Atoms & Elements
Ch.3 - Chemical Reactions
BONUS: Lab Techniques and Procedures
BONUS: Mathematical Operations and Functions
Ch.4 - Chemical Quantities & Aqueous Reactions
Ch.5 - Gases
Ch.6 - Thermochemistry
Ch.7 - Quantum Mechanics
Ch.8 - Periodic Properties of the Elements
Ch.9 - Bonding & Molecular Structure
Ch.10 - Molecular Shapes & Valence Bond Theory
Ch.11 - Liquids, Solids & Intermolecular Forces
Ch.12 - Solutions
Ch.13 - Chemical Kinetics
Ch.14 - Chemical Equilibrium
Ch.15 - Acid and Base Equilibrium
Ch.16 - Aqueous Equilibrium
Ch. 17 - Chemical Thermodynamics
Ch.18 - Electrochemistry
Ch.19 - Nuclear Chemistry
Ch.20 - Organic Chemistry
Ch.22 - Chemistry of the Nonmetals
Ch.23 - Transition Metals and Coordination Compounds

Solution: When blowing up an air mattress, the volume increases as you add gas particles. Assuming a fully inflated twin air mattress (22.2 cm × 96.5 cm × 190.5 cm) holds 16.7 moles of air to attain its full size of 409 liters, and it leaks during the night until it has only 368 liters, how many moles of air are still in the mattress come morning? Assume the temperature remains at 25 °C and the pressure at 760 mmHg.A. 1.67 molesB. 408 molesC. 18.6 molesD. 15.0 molesE. 13.6 moles

Problem

When blowing up an air mattress, the volume increases as you add gas particles. Assuming a fully inflated twin air mattress (22.2 cm × 96.5 cm × 190.5 cm) holds 16.7 moles of air to attain its full size of 409 liters, and it leaks during the night until it has only 368 liters, how many moles of air are still in the mattress come morning? Assume the temperature remains at 25 °C and the pressure at 760 mmHg.

A. 1.67 moles

B. 408 moles

C. 18.6 moles

D. 15.0 moles

E. 13.6 moles

Solution

Use the chemistry gas laws to calculate the number of moles of air after the volume decreased from 409 L to 368 L where the initial moles are 16.7 moles.

Recall that Avogadro’s Law states that volume is directly proportional to the moles of gas:

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