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Ch.3 - Chemical Reactions and Reaction Stoichiometry
Brown - Chemistry: The Central Science 14th Edition
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232당신이 사용하는 게 아니라요?교과서 변경
3장, 문제 44a

At least 25 mg of tetrahydrocannabinol (THC), the active ingredient in marijuana, is required to produce intoxication. The molecular formula of THC is C21H30O2. How many moles of THC does this 25 mg represent?

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1
First, convert the mass of THC from milligrams to grams. Since there are 1000 milligrams in a gram, divide 25 mg by 1000 to get the mass in grams.
Next, calculate the molar mass of THC using its molecular formula, C21H30O2. Add up the atomic masses of all the atoms in the formula: 21 carbon atoms, 30 hydrogen atoms, and 2 oxygen atoms.
The atomic masses are approximately: Carbon (C) = 12.01 g/mol, Hydrogen (H) = 1.01 g/mol, and Oxygen (O) = 16.00 g/mol. Multiply each atomic mass by the number of atoms of that element in the formula and sum them to find the molar mass of THC.
Now, use the formula for moles: moles = mass (g) / molar mass (g/mol). Substitute the mass of THC in grams and the molar mass you calculated into this formula.
Finally, solve the equation to find the number of moles of THC that 25 mg represents.

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주요 개념

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Molecular Formula

The molecular formula of a compound indicates the number of each type of atom present in a molecule. For THC, C21H30O2 means it contains 21 carbon atoms, 30 hydrogen atoms, and 2 oxygen atoms. Understanding the molecular formula is essential for calculating the molar mass, which is necessary for converting mass to moles.
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Determining Molecular Formulas

Molar Mass

Molar mass is the mass of one mole of a substance, typically expressed in grams per mole (g/mol). To find the molar mass of THC, you sum the atomic masses of all atoms in its molecular formula. This value allows you to convert between grams and moles, which is crucial for determining how many moles correspond to a given mass of the substance.
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Molar Mass Concept

Mole Concept

The mole is a fundamental unit in chemistry that quantifies the amount of substance. One mole contains approximately 6.022 x 10^23 entities (Avogadro's number), whether they are atoms, molecules, or ions. Understanding the mole concept is vital for performing stoichiometric calculations, such as converting the mass of THC into moles to assess its effects.
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