A sink drain can become clogged with solid fat such as glyceryl tristearate (tristearin).
c. How many milliliters of a 0.500 M NaOH solution are needed to completely react with 10.0 g of glyceryl tristearate (tristearin)?

검증된 단계별 안내

Step 1: Write the balanced chemical equation for the reaction. Glyceryl tristearate (C57H110O6) reacts with sodium hydroxide (NaOH) in a saponification reaction to produce glycerol (C3H8O3) and sodium stearate (C18H35O2Na). The balanced equation is:

C 57_{110} O_{6} + 3 NaOH \to C 3_{8} O_{3} + 3 C 18_{35} O_{2} Na

Step 2: Calculate the molar mass of glyceryl tristearate (C57H110O6). Add the atomic masses of all the atoms in the molecule:

57 \times 12.01 + 110 \times 1.008 + 6 \times 16.00

. This gives the molar mass in grams per mole.

Step 3: Convert the given mass of glyceryl tristearate (10.0 g) to moles using its molar mass. Use the formula:

\frac{mass}{molar mass}

. Substitute the values to find the number of moles of glyceryl tristearate.

Step 4: Use the stoichiometry of the reaction to determine the moles of NaOH required. From the balanced equation, 1 mole of glyceryl tristearate reacts with 3 moles of NaOH. Multiply the moles of glyceryl tristearate by 3 to find the moles of NaOH needed.

Step 5: Calculate the volume of 0.500 M NaOH solution required to provide the necessary moles of NaOH. Use the formula:

\frac{moles}{molarity}

. Substitute the moles of NaOH and the molarity (0.500 M) to find the volume in liters, then convert to milliliters by multiplying by 1000.

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Stoichiometry

Stoichiometry is the branch of chemistry that deals with the quantitative relationships between the reactants and products in a chemical reaction. It allows us to calculate how much of a substance is needed or produced in a reaction based on balanced chemical equations. Understanding stoichiometry is essential for determining the amount of NaOH required to react with glyceryl tristearate.

Molarity

Molarity is a measure of concentration defined as the number of moles of solute per liter of solution. It is expressed in moles per liter (M). In this question, the 0.500 M NaOH solution indicates that there are 0.500 moles of NaOH in every liter of solution, which is crucial for calculating the volume needed to react with a specific mass of glyceryl tristearate.

Chemical Reaction of Saponification

The saponification reaction involves the hydrolysis of fats or oils in the presence of a strong base, such as NaOH, resulting in the formation of glycerol and soap. Glyceryl tristearate, a triglyceride, undergoes saponification when reacted with NaOH. Understanding this reaction is key to determining how much NaOH is required to completely react with the given mass of glyceryl tristearate.

A sink drain can become clogged with solid fat such as glyceryl tristearate (tristearin).c. How many milliliters of a 0.500 M NaOH solution are needed to completely react with 10.0 g of glyceryl tristearate (tristearin)?