What is the molecular weight of cholesterol if 0.5731 mol weighs 221.6 g?

검증된 단계별 안내

Identify the given values from the problem: the number of moles of cholesterol (0.5731 mol) and the mass of cholesterol (221.6 g).

Recall the formula to calculate the molecular weight (Molar Mass) of a substance, which is the mass of the substance divided by the number of moles: \( M = \frac{m}{n} \).

Substitute the given values into the formula: \( M = \frac{221.6 \, \text{g}}{0.5731 \, \text{mol}} \).

Perform the division to calculate the molecular weight of cholesterol.

The result from the calculation will give you the molecular weight of cholesterol in grams per mole (g/mol).

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주요 개념

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Molecular Weight

Molecular weight, or 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. Understanding molecular weight is essential for converting between moles and grams, which is crucial in stoichiometry and chemical calculations.

Moles

A mole is a unit in chemistry that represents a specific quantity of particles, typically atoms or molecules, equivalent to Avogadro's number (approximately 6.022 x 10²³). The concept of moles allows chemists to count and relate the mass of substances to the number of particles, facilitating calculations in chemical reactions and formulations.

Mass and Moles Relationship

The relationship between mass and moles is defined by the equation: mass (g) = moles × molecular weight (g/mol). This relationship allows for the conversion between the mass of a substance and the number of moles present. In the context of the question, knowing the mass and moles of cholesterol enables the calculation of its molecular weight.