How many moles of aspirin, C₉H₈O₄, are in a bottle containing 450 g by weight? (Note: The approximate atomic weights of its atoms are C = 12, H = 1, and O = 16.)
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Step 1: Calculate the molar mass of aspirin (C₉H₈O₄). To do this, sum the atomic weights of all the atoms in the molecular formula. Use the approximate atomic weights provided: Carbon (C) = 12, Hydrogen (H) = 1, and Oxygen (O) = 16. The molar mass is calculated as follows: (9 × 12) + (8 × 1) + (4 × 16).
Step 2: Once the molar mass of aspirin is determined, use the formula for moles: moles = mass (g) / molar mass (g/mol). Substitute the given mass of aspirin (450 g) and the molar mass calculated in Step 1 into this formula.
Step 3: Perform the division to determine the number of moles of aspirin in the bottle. Ensure the units cancel appropriately, leaving the result in moles.
Step 4: Verify your calculation by checking the molar mass and ensuring the division was performed correctly. Double-check the atomic weights and the molecular formula to avoid errors.
Step 5: Interpret the result in the context of the problem. The calculated moles represent the quantity of aspirin molecules in the bottle, which can be useful for further chemical or physiological calculations.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Molar Mass
Molar mass is the mass of one mole of a substance, typically expressed in grams per mole (g/mol). It is calculated by summing the atomic weights of all atoms in a molecule. For aspirin (C₉H₈O₄), the molar mass is determined by multiplying the number of each type of atom by its atomic weight and adding these values together.
A mole is a unit of measurement in chemistry that represents 6.022 x 10²³ entities, such as atoms or molecules. It allows chemists to count quantities of substances in a manageable way. The number of moles can be calculated by dividing the mass of the substance by its molar mass, providing a direct relationship between mass and the number of particles.
Stoichiometry is the branch of chemistry that deals with the quantitative relationships between the reactants and products in a chemical reaction. It involves using balanced chemical equations to calculate the amounts of substances consumed and produced. In this context, stoichiometry helps determine how many moles of aspirin are present based on its mass and molar mass.