Section 1

MCAT - Cheatsheet

STUDY GUIDE

🎓 MCAT - Study Guide

📋 Course Structure


code
📚 MCAT
├── 📖 Chapter 1: General Chemistry
│   ├── 🔹 Atomic Structure
│   ├── 🔹 The Periodic Table
│   ├── 🔹 Bonding and Chemical Interactions
│   ├── 🔹 Compounds and Stoichiometry
│   ├── 🔹 Chemical Kinetics
│   ├── 🔹 Equilibrium
│   ├── 🔹 Thermochemistry
│   ├── 🔹 The Gas Phase
│   ├── 🔹 Solutions
│   ├── 🔹 Acids and Bases
│   ├── 🔹 Oxidation-Reduction Reactions
│   └── 🔹 Electrochemistry
├── 📖 Chapter 2: Organic Chemistry
│   ├── 🔹 Nomenclature
│   ├── 🔹 Isomers
│   ├── 🔹 Bonding
│   ├── 🔹 Analyzing Organic Reactions
│   ├── 🔹 Alcohols
│   ├── 🔹 Aldehydes and Ketones I: Electrophilicity and Oxidation-Reduction
│   ├── 🔹 Aldehydes and Ketones II: Enolates
│   ├── 🔹 Carboxylic Acids
│   ├── 🔹 Carboxylic Acid Derivatives
│   ├── 🔹 Nitrogen- and Phosphorus-Containing Compounds
│   ├── 🔹 Spectroscopy
│   └── 🔹 Separations and Purifications
├── 📖 Chapter 3: Biochemistry
│   ├── 🔹 Amino Acids, Peptides, and Proteins
│   ├── 🔹 Enzymes
│   ├── 🔹 Nonenzymatic Protein Function and Protein Analysis
│   ├── 🔹 Carbohydrate Structure and Function
│   ├── 🔹 Lipid Structure and Function
│   ├── 🔹 DNA and Biotechnology
│   ├── 🔹 RNA and the Genetic Code
│   ├── 🔹 Biological Membranes
│   ├── 🔹 Carbohydrate Metabolism I
│   ├── 🔹 Carbohydrate Metabolism II
│   ├── 🔹 Lipid and Amino Acid Metabolism
│   └── 🔹 Bioenergetics and Regulation of Metabolism
└── 📖 Chapter 4: Biology
    ├── 🔹 Parts of Cell
    ├── 🔹 Tissues
    ├── 🔹 Genetic Recombination
    ├── 🔹 Viruses
    ├── 🔹 Cell Cycle
    ├── 🔹 Mitosis
    ├── 🔹 Meiosis
    ├── 🔹 Female Reproductive System
    ├── 🔹 Embryogenesis and Development
    ├── 🔹 Nervous System
    ├── 🔹 Endocrine System
    ├── 🔹 Respiratory System
    ├── 🔹 Cardiovascular System
    ├── 🔹 Immune System
    ├── 🔹 Digestive System
    ├── 🔹 Kidney and Skin
    └── 🔹 Muscular System

Section 2

📖 Chapter 1: General Chemistry

What this chapter covers: This chapter provides a review of fundamental concepts in general chemistry, including atomic structure, the periodic table, chemical bonding, stoichiometry, kinetics, equilibrium, thermochemistry, gas laws, solutions, acids and bases, redox reactions, and electrochemistry. It is essential for understanding chemical principles and problem-solving on the MCAT.

🔑 Essential Concepts & Formulas

Concept/Formula	Definition/Equation	When to Use	Quick Check
Aufbau Principle	Electrons fill orbitals in order of increasing energy.	Determining electron configurations.	Sum of superscripts equals atomic number.
Ideal Gas Law	$PV = nRT$	Relating pressure, volume, temperature, and moles of a gas.	Units are consistent (e.g., L, atm, K).
pH	$pH = -log[H^+]$	Calculating the acidity of a solution.	pH + pOH = 14 at 25°C.
Nernst Equation	$E = E^\circ - \frac{RT}{nF}lnQ$	Calculating cell potential under nonstandard conditions.	$E = E^\circ$ at standard conditions.
Hess's Law	$\Delta H_{rxn} = \sum \Delta H_f(\text{products}) - \sum \Delta H_f(\text{reactants})$	Calculating enthalpy changes for reactions.	Sum of steps equals overall reaction.
Le Châtelier's Principle	A system at equilibrium will shift to relieve stress.	Predicting the effect of changes in concentration, pressure, or temperature on equilibrium.	Check if the change favors reactants or products.

🛠️ Problem Types

Type A: Kinetics Problems

Setup: "When you encounter experimental data relating reactant concentration to time, and need to determine the rate law."

Method: "Use the method of initial rates to determine the order of each reactant. Then, write the rate law in the form rate = $k[A]^m[B]^n$ . Use the integrated rate laws to calculate concentrations at different times."

Example: "Given experimental data showing the initial rates of a reaction A + B $\to$ C at different initial concentrations of A and B, determine the rate law and the rate constant."

Type B: Equilibrium Problems

Setup: "If presented with initial concentrations and the equilibrium constant $K_{eq}$ , and asked to find the equilibrium concentrations."

Method: "Set up an ICE table (Initial, Change, Equilibrium). Use the changes in concentration to express the equilibrium concentrations in terms of a single variable, x. Substitute these expressions into the equilibrium constant expression and solve for x. Calculate the equilibrium concentrations."

Example: "For the reaction $N_2(g) + 3H_2(g) \rightleftharpoons 2NH_3(g)$ , given initial concentrations of $N_2$ and $H_2$ , and $K_{eq}$ , calculate the equilibrium concentrations of all species."

🧮 Solved Example

Problem: Calculate the pH of a 0.01 M solution of $HCl$ .

Given: $[HCl] = 0.01 M$

Steps:

$HCl$ is a strong acid, so it completely dissociates: $HCl \to H^+ + Cl^-$
Therefore, $[H^+] = [HCl] = 0.01 M$
$pH = -log[H^+] = -log(0.01) = -log(10^{-2})$
$pH = -(-2) = 2$

"

✅
Answer: $pH = 2$

⚠️ Common Mistakes

❌ Mistake 1: Forgetting to balance chemical equations before performing stoichiometric calculations.

✅ How to avoid: Always double-check that the equation is balanced before using mole ratios.

❌ Mistake 2: Incorrectly applying Le Châtelier's principle.

✅ How to avoid: Carefully consider whether the stress favors the forward or reverse reaction.

💡 Study Tip

Practice balancing chemical equations and identifying oxidation states to master redox reactions.

📖 Chapter 2: Organic Chemistry

What this chapter covers: This chapter covers nomenclature, isomerism, bonding, analyzing organic reactions (SN1, SN2, E1, E2), alcohols, aldehydes and ketones, carboxylic acids and their derivatives, nitrogen- and phosphorus-containing compounds, spectroscopy, and separations and purifications. It is crucial for understanding the structure, properties, and reactions of organic molecules.

🔑 Essential Concepts & Formulas

Concept/Formula	Definition/Equation	When to Use	Quick Check
SN1 Reaction	Two-step nucleophilic substitution reaction.	Tertiary alkyl halides in polar protic solvents.	Formation of carbocation intermediate.
SN2 Reaction	One-step nucleophilic substitution reaction.	Primary alkyl halides with strong nucleophiles.	Inversion of stereochemistry.
E1 Reaction	Two-step elimination reaction.	Tertiary alkyl halides in polar protic solvents.	Formation of carbocation intermediate.
E2 Reaction	One-step elimination reaction.	Primary alkyl halides with strong bases.	Anti-periplanar geometry.
IHD (Index of Hydrogen Deficiency)	$IHD = \frac{2C + 2 + N - X - H}{2}$	Determining the number of rings and/or pi bonds in a molecule.	Check if the IHD matches the structure.
Spectroscopy (IR)	Measures molecular vibrations.	Identifying functional groups.	Specific peaks correspond to specific bonds (e.g., O-H, C=O).

🛠️ Problem Types

Type A: Predicting Reaction Products

Setup: "Given a starting material, reagents, and reaction conditions, predict the major product of the reaction."

Method: "Identify the type of reaction (SN1, SN2, E1, E2). Consider the structure of the starting material, the strength of the nucleophile/base, and the solvent. Draw the mechanism and predict the product."

Example: "Predict the major product of the reaction of 2-bromobutane with sodium ethoxide in ethanol."

Type B: Determining Molecular Structure from Spectroscopy Data

Setup: "Given IR, NMR, and mass spectrometry data, determine the structure of an unknown organic compound."

Method: "Use the IR spectrum to identify functional groups. Use the NMR spectrum to determine the number of unique hydrogens and their environments. Use the mass spectrum to determine the molecular weight and fragmentation pattern. Combine this information to propose a structure."

Example: "Determine the structure of an unknown compound with the following data: IR: 1720 cm $^{-1}$ ; NMR: 2H singlet at 2.1 ppm, 3H triplet at 1.0 ppm, 2H quartet at 2.5 ppm; Mass spec: M+ at 88 m/z."

🧮 Solved Example

Problem: Name the following compound using IUPAC nomenclature: $CH_3CH_2CH(CH_3)CH_2OH$

Given: $CH_3CH_2CH(CH_3)CH_2OH$

Steps:

Identify the parent chain: Butane (4 carbons)
Identify the functional group: Alcohol (-OH)
Number the chain to give the alcohol the lowest number: 2-butanol
Identify and name the substituents: Methyl group at position 3
Combine the names: 3-methyl-2-butanol

"

✅
Answer: 3-methyl-2-butanol

⚠️ Common Mistakes

❌ Mistake 1: Incorrectly assigning R/S configurations.

✅ How to avoid: Use the Cahn-Ingold-Prelog priority rules carefully and visualize the molecule in 3D.

❌ Mistake 2: Confusing SN1/E1 with SN2/E2 reactions.

✅ How to avoid: Consider the substrate, nucleophile/base strength, and solvent.

💡 Study Tip

Practice drawing reaction mechanisms to understand the flow of electrons and predict products.

📖 Chapter 3: Biochemistry

What this chapter covers: This chapter covers amino acids, peptides, and proteins, enzymes, lipid and carbohydrate structure and function, DNA and biotechnology, RNA and the genetic code, biological membranes, and metabolic pathways (glycolysis, gluconeogenesis, etc.). It is essential for understanding the molecular basis of life.

🔑 Essential Concepts & Formulas

Concept/Formula	Definition/Equation	When to Use	Quick Check
Michaelis-Menten Equation	$v = \frac{V_{max}[S]}{K_m + [S]}$	Describing enzyme kinetics.	$v = \frac{V_{max}}{2}$ when $[S] = K_m$ .
Lineweaver-Burk Plot	$\frac{1}{v} = \frac{K_m}{V_{max}}\frac{1}{[S]} + \frac{1}{V_{max}}$	Determining $K_m$ and $V_{max}$ .	X-intercept = $-\frac{1}{K_m}$ , Y-intercept = $\frac{1}{V_{max}}$ .
Isoelectric Point (pI)	The pH at which a molecule has no net electric charge.	Predicting protein behavior in electrophoresis.	$pI = \frac{pK_{a1} + pK_{a2}}{2}$ for simple amino acids.
Gibbs Free Energy Change	$\Delta G = \Delta H - T\Delta S$	Predicting the spontaneity of a reaction.	$\Delta G < 0$ for spontaneous reactions.
Henderson-Hasselbalch Equation	$pH = pK_a + log\frac{[A^-]}{[HA]}$	Calculating the pH of a buffer solution.	$pH = pK_a$ when $[A^-] = [HA]$ .
Competitive Inhibition	Inhibitor binds to the active site.	Determining the type of enzyme inhibition.	$V_{max}$ unchanged, $K_m$ increases.

🛠️ Problem Types

Type A: Enzyme Kinetics Calculations

Setup: "Given enzyme kinetics data (initial velocities at different substrate concentrations), calculate $V_{max}$ and $K_m$ ."

Method: "Use the Michaelis-Menten equation or a Lineweaver-Burk plot to determine $V_{max}$ and $K_m$ ."

Example: "Calculate $V_{max}$ and $K_m$ for an enzyme given the following data: [S] (mM) | v (mM/min) ; 1 | 50 ; 2 | 80 ; 4 | 95 ; 8 | 105."

Type B: Metabolic Pathway Analysis

Setup: "Given a metabolic pathway and a set of conditions (e.g., high glucose, low ATP), predict the changes in flux through the pathway."

Method: "Identify the key regulatory enzymes in the pathway. Consider the effects of the given conditions on the activity of these enzymes. Predict the changes in flux through the pathway."

Example: "Predict the changes in flux through glycolysis and gluconeogenesis in response to high glucose and low ATP."

🧮 Solved Example

Problem: Calculate the pI of alanine, given $pK_{a1} = 2.34$ and $pK_{a2} = 9.69$ .

Given: $pK_{a1} = 2.34$ , $pK_{a2} = 9.69$

Steps:

$pI = \frac{pK_{a1} + pK_{a2}}{2}$
$pI = \frac{2.34 + 9.69}{2}$
$pI = \frac{12.03}{2}$
$pI = 6.015$

"

✅
Answer: $pI = 6.015$

⚠️ Common Mistakes

❌ Mistake 1: Confusing different types of enzyme inhibition.

✅ How to avoid: Understand the mechanisms of each type of inhibition and their effects on $V_{max}$ and $K_m$ .

❌ Mistake 2: Incorrectly applying the Henderson-Hasselbalch equation.

✅ How to avoid: Ensure you are using the correct $pK_a$ value and that you have correctly identified the acid and conjugate base.

💡 Study Tip

Memorize the structures and properties of the 20 common amino acids.

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MCAT - Cheatsheet

Study Notes Preview

MCAT - Cheatsheet

🎓 MCAT - Study Guide

📋 Course Structure

📖 Chapter 1: General Chemistry

🔑 Essential Concepts & Formulas

🛠️ Problem Types

🧮 Solved Example

⚠️ Common Mistakes

💡 Study Tip

📖 Chapter 2: Organic Chemistry

🔑 Essential Concepts & Formulas

🛠️ Problem Types

🧮 Solved Example

⚠️ Common Mistakes

💡 Study Tip

📖 Chapter 3: Biochemistry

🔑 Essential Concepts & Formulas

🛠️ Problem Types

🧮 Solved Example

⚠️ Common Mistakes

💡 Study Tip

3 more sections