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: Which of the following gases will have the largest root mean square speed at 100◦C?1. water2. argon3. oxygen4. methane 5. nitrogen

Solution: Which of the following gases will have the largest root mean square speed at 100◦C?1. water2. argon3. oxygen4. methane 5. nitrogen

Problem

Which of the following gases will have the largest root mean square speed at 100C?

1. water

2. argon

3. oxygen

4. methane 

5. nitrogen

Solution

We’re being asked to determine the gas that would have the largest root mean square speed at 100°C. 


When calculating for root mean square speed (μrms), we will use the following equation:

µrms = rms speed,
R = 8.314 J/(mol·K)
T = temperature, K
M = molar mass, kg/mol


Based on the equation for μrms, 3 and R are constants. All of the gases are at the same temperature (100°C). The only difference the gases have is their molar masses (M).

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