What is the mass in grams of each of the following samples? (c) 0.0015 mol of diazepam (Valium), C16H13ClN2O

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Determine the molar mass of diazepam (C_{16}H_{13}ClN_{2}O) by adding the atomic masses of all the atoms in the molecular formula.

Calculate the molar mass: (16 \(\times\) \(\text{atomic mass of C}\)) + (13 \(\times\) \(\text{atomic mass of H}\)) + (1 \(\times\) \(\text{atomic mass of Cl}\)) + (2 \(\times\) \(\text{atomic mass of N}\)) + (1 \(\times\) \(\text{atomic mass of O}\)).

Use the formula: \(\text{mass}\) = \(\text{moles}\) \(\times\) \(\text{molar mass}\) to find the mass in grams.

Substitute the given number of moles (0.0015 mol) and the calculated molar mass into the formula.

Perform the multiplication to find the mass in grams of the diazepam sample.

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주요 개념

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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 masses of all the atoms in a molecule. For example, the molar mass of diazepam (C16H13ClN2O) can be determined by adding the atomic masses of carbon, hydrogen, chlorine, nitrogen, and oxygen in the molecular formula.

Mole Concept

The mole is a fundamental unit in chemistry that quantifies the amount of substance. One mole contains Avogadro's number of entities, approximately 6.022 x 10^23. This concept allows chemists to convert between the number of particles (atoms, molecules) and the mass of a substance, facilitating calculations in stoichiometry and chemical reactions.

Conversion between Moles and Grams

To convert moles of a substance to grams, the formula used is: mass (g) = number of moles × molar mass (g/mol). This relationship is essential for determining the mass of a sample when the number of moles is known, as in the case of calculating the mass of 0.0015 mol of diazepam using its molar mass.