Chemistry of Cooking

CONTENTS OF CURRICULUM UNIT 26.05.03

  1. Unit Guide
  1. Introduction And Rationale
  2. Content Objectives
  3. Teaching Strategies
  4. Classroom Activities
  5. Resources
  6. Appendix On Implementing District Standards
  7. Endnotes

Squeeze the Numbers: A Lemonade Math Investigation

Elizabeth McClenaghan

Published September 2026

Tools for this Unit:

Content Objectives

A Brief History of Lemonade

For more than a thousand years, people around the world have enjoyed lemonade made from the simple combination of water, sugar, and lemon juice. Whether it is sweet or tart, pink or yellow, still or sparkling, lemonade has remained a popular drink from ancient civilizations to modern celebrities like Beyoncé.[1] Although the exact origin of lemons was once uncertain, recent research has identified them as a hybrid of sour oranges and citrons. A 2018 study published in the journal Nature found fossilized citrus leaves in China’s Yunnan province, showing that citrus fruits have existed for nearly 8 million years.[2]

The earliest version of lemonade can be traced back to medieval Egypt, where drinks called Kashkad, made from fermented barley, herbs, and citron, were consumed.[3],[4] Historical writings from the 10th century reveal that Egyptians, particularly the Jewish community in Cairo, drank and traded a sweet, lemon-based beverage called qatarmizat.[5] While citron fruits were known throughout the Mediterranean long before lemons, evidence suggests that lemons themselves did not appear there until the Islamic period. References to lemon trees first appeared in 10th-century Arabic agricultural texts, and later writings by physicians helped spread knowledge of lemons across the Mediterranean.

By the 1600s, lemonade had become fashionable in Europe, especially in Paris. Vendors sold a mixture of sparkling water, lemon juice, and honey from tanks carried on their backs. The drink became so popular that Parisian lemonade sellers formed their own guild, called the Compagnie de Limonadiers.[6] In Britain, advances in carbonation technology by scientists like Joseph Priestley and entrepreneurs like Johann Schweppe helped make fizzy lemonade widely available.[7]

Lemonade eventually spread to America with European immigrants during the 18th century. During the Victorian era, the temperance movement promoted lemonade as a substitute for alcohol. Even the White House embraced the trend when President Rutherford B. Hayes banned alcohol at official events, leading critics to nickname his wife “Lemonade Lucy”.[8],[9]

The circus also played a role in the history of lemonade, especially in the rise of pink lemonade during the 19th century. Popular stories claim the drink’s color was either the result of cinnamon candies accidentally falling into lemonade or, according to a less appetizing legend, wash water from pink tights used to make a new batch.[10] Regardless of its true origin, pink lemonade became a circus favorite and helped boost sales.

Over time, lemonade has come to symbolize resilience and optimism. Whether served cloudy, clear, fizzy, sweet, or sour, it continues to represent making the best out of difficult situations — the classic idea of turning life’s lemons into lemonade.

The Chemistry behind Lemonade

The ingredients in lemonade are deceptively simple: lemon juice, sugar, and water. Despite containing only three primary ingredients, producing the perfect glass of lemonade involves several important chemical and culinary considerations. Which type of lemon juice produces the best flavor? Does the source or composition of the water affect the final product? Does the type of sugar influence sweetness, texture, or solubility? Exploring these questions provides an opportunity to examine how chemistry influences the taste, appearance, and quality of lemonade.

There are more than one hundred species and varieties of lemons grown throughout the world. These generally fall into two categories: true lemons, which are varieties of the Citrus limon species, and hybrid lemons, which result from crossing true lemons with other citrus fruits. Several varieties are commonly used for making lemonade. Lisbon lemons, grown primarily in South Asia, are the variety most often found in grocery stores. Eureka lemons, also widely cultivated in South Asia, contain relatively few seeds, making them especially well-suited for juicing. Meyer lemons, originally grown in China, have a rounder shape, thinner skin, and naturally sweeter flavor than traditional lemons. Volkamer lemons are actually a hybrid between citron and mandarin orange. Although they have a flavor similar to Eureka lemons, they are commonly grown in California and valued for their high juice yield.[11]

A lemon consists of three main layers: the flavedo, mesocarp, and endocarp, each serving a unique purpose. The flavedo, commonly known as the zest, is the colorful outer peel that contains essential oils responsible for the lemon's distinctive aroma and flavor. Beneath the flavedo lies the mesocarp, or pith, a thick, white, spongy layer that surrounds and protects the fruit's interior. Rich in carbohydrates and pectin, the mesocarp provides structural support and helps protect the delicate inner tissues.[12]

The endocarp, commonly referred to as the pulp, is the segmented interior of the lemon and accounts for most of its weight. It is composed of wedge-shaped compartments called carpels, which contain both seeds and thousands of tiny juice vesicles. These juice vesicles are elongated, thin-walled cells filled primarily with water, citric acid, sugars, and other dissolved compounds that give lemons their characteristic tart flavor. When the fruit is squeezed, the juice vesicles rupture, releasing lemon juice.[13]

The tart or sour nature of lemons is due to their acidity.  An acid is any molecule that can easily lose a hydrogen ion and has a pH level less than 7.[14] The pH scale measures how acidic or alkaline a solution is, ranging from 0 to 14. A pH of 7 is neutral, values below 7 are acidic, and values above 7 are alkaline. Even though the numbers only change by one, each step on the pH scale means the solution is 10 times more or less acidic than the previous one. For example, a substance with a pH of 5 is 10 times more acidic than one with a pH of 6 and 100 times more acidic than one with a pH of 7. Lemons contain a high concentration of citric acid, giving lemon juice a pH of approximately 2 to 3.[15] Even though the pH numbers don't seem very far apart, lemon juice is 10,000 to 100,000 times more acidic than water. That's what gives lemons their strong sour taste. 

Acidic foods typically taste sour unless their acidity is balanced by sugar, as in lemonade. Sugar is a general term for a family of naturally occurring compounds in the carbohydrate group.[16] During digestion, many carbohydrates, such as starch, are broken down into glucose, a monosaccharide (simple sugar) commonly known as blood sugar because it circulates through the bloodstream and provides energy to the body's cells.[17]

When two simple sugars bond together, they form a disaccharide, or double sugar.[18] Granulated sugar (sucrose) is a disaccharide composed of approximately 50% glucose and 50% fructose. Brown sugar has the same chemical composition but retains some of the molasses from the refining process, giving it its characteristic color and flavor. Powdered (confectioners') sugar is finely ground granulated sugar. Because sugar is hygroscopic—meaning it readily absorbs moisture—a small amount of cornstarch is added to powdered sugar to prevent clumping and maintain its fine texture.[19]

Most table sugar is produced from sugar cane, a bamboo-like grass grown in tropical regions. Sugar cane is harvested when it reaches approximately 10 feet in height and about 1 inch in diameter. After harvesting, the stalks are transported to a mill, where they are shredded and pressed to extract the juice. The juice is clarified by adding lime, allowed to settle, and then heated under partial vacuum. This process evaporates water, concentrates the sugar, and promotes crystal formation.[20]

The sugar crystals are separated from the remaining molasses in a centrifuge and then sent to a refinery for further purification. There, the sugar is repeatedly washed, dissolved, boiled, recrystallized, and centrifuged to increase its purity.[21] Once refined, the finished sugar is packaged or distributed to manufacturers for use in a wide variety of food products and beverages.

Bees produce honey to preserve their food supply for times when flowers are scarce. By converting nectar into honey, they create a stable food source that can be stored in the hive, and used when needed. If nectar were stored without this transformation, it would eventually ferment and spoil.[22] Bees rely on two primary food sources obtained from flowers: pollen, which supplies protein, and nectar, which provides carbohydrates. Nectar is a sugar-rich liquid produced by plants, with sucrose as its main carbohydrate. After bees collect nectar, enzymes in their honey stomachs convert the sucrose into the simpler sugars, glucose and fructose. In addition to these sugars, honey contains small amounts of vitamins, minerals, amino acids, enzymes, and plant compounds. The flavor, aroma, and color of honey vary depending on the types of flowers from which the nectar was gathered.[23]

Agave syrup is a sweetener made from the agave plant, a succulent native to the dry regions of Mexico. Its primary components are fructose, glucose, and water, along with small amounts of other carbohydrates, fats, polyols, vitamins, and minerals. The sugars in agave syrup consist of approximately 80% fructose and 20% glucose, making it sweeter than traditional table sugar.[24]

Water, the third ingredient in lemonade, is considered by many to be one of the most remarkable substances found naturally on Earth. It is the only substance that naturally exists in all three states of matter: solid (ice), liquid (water), and gas (steam or water vapor). A water molecule is made up of two hydrogen atoms and one oxygen atom, represented by the chemical formula H₂O. These atoms are connected by covalent bonds, and the water molecules are held together by electrostatic forces because hydrogen has a slightly positive charge and oxygen has a slightly negative charge.[25] Since opposites attract, water molecules are drawn to one another. The slightly positive hydrogen side of one water molecule is attracted to the slightly negative oxygen side of another, forming a special connection called a hydrogen bond. These bonds allow water molecules to stick together and contribute to many of water’s unique properties.[26] Water is most commonly observed in its liquid state, but specific conditions determine whether it remains liquid or changes into another state of matter. For water to remain a liquid, its temperature must stay between 32°F and 212°F. When the temperature drops below 32°F, water freezes and becomes solid ice. When the temperature reaches 212°F or higher, water changes into a gas called steam or water vapor. Water covers approximately 80% of Earth’s surface and plays a critical role in supporting life and allowing organisms to grow and thrive.[27]

Water has been essential to human civilization since prehistoric times, with early societies settling near rivers, lakes, and other freshwater sources. When surface water was unavailable, people relied on groundwater obtained through wells. As populations grew, civilizations developed increasingly sophisticated methods for storing and transporting water, beginning with channels carved into sand and rock before progressing to hollow palm trunks, bamboo, clay pipes, wood, and eventually metal.[28] Ancient cultures also recognized the importance of clean drinking water and used methods such as boiling, straining, settling, and filtering through sand and gravel to improve water quality. Greek physician Hippocrates even recommended boiling and straining rainwater through a cloth filter, later known as the "Hippocrates' sleeve," demonstrating one of the earliest documented efforts to protect public health through water treatment.[29]

As towns and cities expanded, providing safe drinking water became increasingly important because contaminated public water supplies contributed to widespread disease. In 1854, Dr. John Snow's investigation of a cholera outbreak in London provided the first convincing evidence that contaminated drinking water could transmit disease, laying the foundation for modern epidemiology.[30] During the late nineteenth century, scientists such as Louis Pasteur and Robert Koch established the germ theory of disease, leading to major improvements in water treatment. Engineers developed more effective filtration systems, including sand filters and chemical coagulation, which significantly reduced harmful bacteria and dramatically lowered cases of cholera and typhoid fever.[31] By the early 1900s, filtration had become a standard practice in many cities throughout Europe and the United States, greatly improving public health.

The most significant advancement in modern water treatment came with the introduction of chlorination in the early twentieth century.[32] In 1804, John Gibb designed the first municipal water system to provide disinfected water to the city of Paisley, Scotland, and cities such as Paris soon adopted large-scale filtration systems using sand and charcoal.[33] However, routine chlorination revolutionized drinking water safety when Jersey City, New Jersey, became the first U.S. city in 1908 to disinfect its public water supply with chlorine. Because chlorination was inexpensive, highly effective, and easy to implement, communities across the country quickly adopted the practice.[34] Combined with filtration, chlorination led to dramatic reductions in typhoid fever and other waterborne diseases and laid the foundation for modern drinking water systems, which are today considered among the safest in the world.

In today’s market, several types of drinking water are available, and differentiating between them can be challenging. Tap water is the primary source of drinking and household water for most people in North America and is supplied through public water systems that must meet strict safety standards established by the U.S. Environmental Protection Agency (EPA).[35] The EPA is responsible for setting legal limits on more than 90 contaminants in drinking water. These limits are based on what protects human health while also considering what water systems can achieve using the best available technology.[36] The EPA also establishes water-testing schedules and methods that public water systems must follow. Although the Safe Drinking Water Act (SDWA) allows individual states to set and enforce their own drinking water standards, those standards must meet or exceed the minimum EPA requirements. The EPA's regulations cover chemical contaminants, such as arsenic, lead, copper, and radionuclides, as well as microbial contaminants.[37] Because of these strict guidelines, tap water is tested more frequently than bottled water, making it a safe and affordable drinking option for most communities. For these reasons, tap water is the recommended water source for all activities in this unit.

Other types of drinking water include mineral water, which comes from natural mineral springs and contains minerals such as calcium, magnesium, and iron. Although these minerals may provide health benefits, mineral water is usually more expensive than tap water.[38] Spring or glacier water is another bottled water option that is marketed as coming directly from a natural source. However, it can also be costly and is often less regulated than tap water. Sparkling water is infused with carbon dioxide, giving it a carbonated, or fizzy, texture. Its popularity increased in the United States in 1976 when Perrier, a French brand of naturally carbonated water, was advertised as a sugar-free alternative to tap water, soda, and fountain drinks.[39] Today, sparkling water is available in a wide variety of flavors, often with natural fruit flavors.

Purified water is tap water or groundwater that has been treated to remove contaminants such as bacteria, fungi, parasites, and other impurities.[40] This can be accomplished through commercial purification processes or by using home filtration systems, such as Brita pitchers or faucet filters, which filter local tap water before it is consumed.

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