Three Mutually-Connected Representations
Macroscopic (observable) – what we see with the naked eye (e.g., liquid water sloshing in a beaker).
Sub-microscopic / Particle Level – atoms, ions, molecules (e.g., two H atoms covalently bonded to one O atom).
Symbolic – chemical symbols, formulas, and equations (e.g., H_2O).
Key Habits for Students
When you observe something, immediately ask:
“What do its particles look like?”
“How do I symbolize it?”
Practice moving back-and-forth among the three axes to deepen conceptual understanding.
Significance
Forms the foundation for all chemical reasoning, problem solving, and communication.
Encourages systems thinking and prevents compartmentalized learning.
Is air a compound or a mixture?
Answer: Mixture – multiple substances retain their individual identities.
Dry Air by Volume (approx.)
N_2 – 78\% (dominant; blue spheres in particle diagrams).
O_2 – 21\%.
Together N2 + O2 \approx 99\% of molecules.
Remaining \approx 1\% ("other gases"):
Argon (Ar)
Carbon dioxide (CO_2)
Methane (CH_4)
Traces of Ne, He, Kr, H_2, etc.
Why the Trace Gases Matter
Small compositional changes have large environmental and health impacts.
CO2 and CH4 are potent greenhouse gases that trap infrared radiation → global warming.
Greenhouse Impact – comparable to CO_2 but more efficient per molecule at heat trapping.
Major U.S. Source – cattle farming (enteric fermentation).
Example of applied science: Feeding cows a special red seaweed can cut methane emissions by ≈ 80\% (UC Davis research).
Ethical / Practical Angle – Balancing food production with climate mitigation; showcases chemistry’s role in societal problem-solving.
Percent by volume (%)
\text{Percent} = \frac{\text{parts of component}}{10^2\, \text{total parts}} \times 100
Parts per million (ppm)
\text{ppm} = \frac{\text{parts of component}}{10^6\, \text{total parts}} \times 10^6
Convenient for trace levels (\lt 0.1\%).
Interconversion Rule
\boxed{\text{ppm} = \text{percent} \times 10{,}000}
\boxed{\text{percent} = \frac{\text{ppm}}{10{,}000}}
Operational shortcut: move the decimal 4 places
Right → % → ppm
Left → ppm → %
Example 1 – Convert 1.7\,\text{ppm} CH_4 to %.
1.7\,\text{ppm} \div 10{,}000 = 0.00017\%
Example 2 – Pre-1750 CH_4 level 0.00007\% to ppm.
0.00007\% \times 10{,}000 = 0.7\,\text{ppm}
Rule of Thumb – four-place decimal shift prevents calculator errors during exams.
0.04\%\;CO_2 \rightarrow 400\,\text{ppm}
0.009\%\;Ar \rightarrow 90\,\text{ppm}
5\,\text{ppm}\;O_3 \rightarrow 0.0005\%
Double-check each answer by reversing the shift.
Understanding air composition requires seamless switching among Chemistry Triplet views.
Small numerical differences in ppm translate to meaningful climate and health consequences.
Chemical insight → technological solutions (e.g., seaweed-diet cattle) illustrate the discipline’s real-world value.
Mastery of %–ppm conversions is essential for atmospheric science, environmental policy, and any lab work involving trace analytes.