List Of Equations For The Mcat

Complete List of Equations for the MCAT: Your Ultimate Study Guide

Preparing for the MCAT can feel overwhelming, especially when you realize the sheer number of equations you need to memorize and apply. Whether you are revisiting physics concepts from college or diving into biochemistry for the first time, having a reliable list of equations for the MCAT organized by subject is essential for efficient studying. This guide breaks down the most important equations you will encounter across all MCAT sections, helping you build confidence and streamline your review process Simple, but easy to overlook..

Physics Equations for the MCAT

The physics section of the MCAT tests your understanding of fundamental principles and your ability to apply them quantitatively. Here are the key equations you should know cold.

Mechanics

• Newton's Second Law: F = ma
• Kinematic Equations:
  • v = v₀ + at
  • x = x₀ + v₀t + ½at²
  • v² = v₀² + 2a(x - x₀)
• Gravitational Force: F = Gm₁m₂/r²
• Weight: W = mg
• Centripetal Force: F = mv²/r
• Work: W = Fd cos θ
• Kinetic Energy: KE = ½mv²
• Potential Energy: PE = mgh
• Conservation of Energy: KE₁ + PE₁ = KE₂ + PE₂
• Momentum: p = mv
• Impulse: J = FΔt = Δp

Electricity and Magnetism

• Ohm's Law: V = IR
• Power: P = IV = I²R = V²/R
• Resistance: R = ρL/A
• Capacitance: C = Q/V
• Coulomb's Law: F = kq₁q₂/r²
• Electric Field: E = F/q = kQ/r²
• Magnetic Force: F = qvB sin θ

Waves and Optics

• Wave Speed: v = fλ
• Snell's Law: n₁ sin θ₁ = n₂ sin θ₂
• Lens Equation: 1/f = 1/dₒ + 1/dᵢ
• Magnification: M = -dᵢ/dₒ

Chemistry Equations for the MCAT

General and organic chemistry form a large portion of the MCAT, and many questions require you to manipulate equations to find unknown values.

Thermodynamics

• Gibbs Free Energy: ΔG = ΔH - TΔS
• Standard Gibbs Free Energy: ΔG° = -RT ln K
• Enthalpy: q = mcΔT
• Entropy Change: ΔS = q_rev/T
• First Law of Thermodynamics: ΔU = q + w

Equilibrium and Acids/Bases

• Equilibrium Constant: K = [products]/[reactants]
• Ka Expression: Ka = [H⁺][A⁻]/[HA]
• Kb Expression: Kb = [BH⁺][OH⁻]/[B]
• Henderson-Hasselbalch Equation: pH = pKa + log([A⁻]/[HA])
• Water Autoionization: Kw = [H⁺][OH⁻] = 1 × 10⁻¹⁴
• pH and pOH: pH = -log[H⁺] and pOH = -log[OH⁻]
• pH + pOH = 14

Electrochemistry

• Nernst Equation: E = E° - (RT/nF) ln Q
• Gibbs and Cell Potential: ΔG = -nFE
• Faraday's Constant: F = 96,485 C/mol

Biochemistry Equations for the MCAT

Biochemistry questions on the MCAT often blend chemistry principles with biological contexts, so the equations overlap significantly with general chemistry.

Enzyme Kinetics

• Michaelis-Menten Equation: v = Vmax[S]/(Km + [S])
• Lineweaver-Burk: 1/v = (Km/Vmax)(1/[S]) + 1/Vmax
• Catalytic Efficiency: kcat/Km

Metabolism

• ATP Hydrolysis: ΔG° ≈ -30.5 kJ/mol
• Glucose Oxidation: C₆H₁₂O₆ + 6O₂ → 6CO₂ + 6H₂O
• Nernst Equation for Membrane Potential: E = (RT/zF) ln([ion]outside/[ion]inside)

Psychology and Sociology Equations

While less calculation-heavy, these sections still include statistical and research-method equations you should recognize.

• Mean: μ = Σx/N
• Standard Deviation: σ = √(Σ(x - μ)²/N)
• Correlation Coefficient: r = Σ[(xi - x̄)(yi - ȳ)] / √[Σ(xi - x̄)² Σ(yi - ȳ)²]
• Confidence Interval: CI = x̄ ± z(σ/√n)

Tips for Mastering the MCAT Equations

Memorizing equations is only half the battle. Here are strategies to help you retain and apply them effectively.

1. Understand the derivation — Knowing why an equation works helps you remember it under pressure.
2. Practice with timed problems — Apply equations in realistic test conditions to build speed.
3. Group related equations — Study thermodynamics equations together, then move to kinetics.
4. Use dimensional analysis — Check your units to catch mistakes before they cost you points.
5. Create flashcards — Write the equation on one side and its application on the other.

Common Mistakes to Avoid

• Confusing K with Km in enzyme kinetics
• Forgetting to convert temperature to Kelvin in thermodynamics
• Mixing up ln and log in the Henderson-Hasselbalch equation
• Neglecting sign conventions in work and heat calculations

Conclusion

A well-organized list of equations for the MCAT is one of the most powerful tools in your prep arsenal. By mastering these formulas across physics, chemistry, biochemistry, and behavioral sciences, you position yourself to tackle even the most challenging questions with clarity and speed. Consistent practice, paired with a deep understanding of what each equation represents, will transform equation memorization from a chore into a strategic advantage on test day.

Of course. Here is a seamless continuation of the article, building upon the previous points and concluding the piece.

Moving beyond simple memorization, the key to MCAT equation mastery lies in integrating them into a cohesive understanding of scientific principles. Here's a good example: recognize that the Nernst Equation in electrochemistry is fundamentally the same as the one used to calculate membrane potential in biochemistry; the only difference is the context. This cross-referencing not only reinforces memory but also highlights the interconnected nature of science, a core theme of the exam.

Active recall is your most powerful weapon. Instead of passively re-reading a list, challenge yourself. Cover the equation and try to write it from memory, then immediately test your understanding by explaining its variables and units aloud. Consider this: then, apply it to a novel scenario. On top of that, for example, take the ideal gas law (PV=nRT) and use it to explain why a balloon expands at high altitude, or how a scuba diver's air consumption changes with depth. This process, known as "interleaved practice," involves switching between different types of problems and equations, which dramatically improves long-term retention and problem-solving flexibility.

On top of that, always seek the "why" behind the formula. That said, understanding that ΔG = -nFE is derived from the relationship between Gibbs free energy and electrical work transforms it from a string of symbols into a powerful statement about spontaneity and energy transfer. This deeper comprehension allows you to adapt the equation to slightly altered situations, a common tactic on the MCAT But it adds up..

In the final weeks leading up to your test, create a "cheat sheet" of the most error-prone equations. Focus on the ones where sign conventions, unit conversions, or specific constants (like the gas constant R) are most frequently mistaken. Review this sheet daily That alone is useful..

All in all, your journey to mastering the MCAT equations is not about building a static repository of facts, but about constructing a dynamic framework of scientific reasoning. And by focusing on understanding, application, and strategic review, you will do more than just recall formulas on test day—you will wield them with the precision and insight of a seasoned scientist. Each equation is a tool, a lens through which you can analyze and predict physical and biological phenomena. This strategic approach is what separates a good score from a great one. Now, go forth and apply your knowledge with confidence.