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

Verified step by step guidance

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.

Verified video answer for a similar problem:

This video solution was recommended by our tutors as helpful for the problem above.

Video duration:

Was this helpful?

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 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.

Recommended video:

Guided course

01:29

Mass and Moles Conversion

Related Practice

Textbook Question

An average cup of coffee contains about 125 mg of caffeine, C8H10N4O2. How many moles of caffeine are in a cup? How many molecules of caffeine?

Textbook Question

What is the mass in grams of each of the following samples? (a) 0.0015 mol of sodium

Textbook Question

What is the mass in grams of each of the following samples? (b) 0.0015 mol of lead

Textbook Question

A sample that weighs 25.12 g contains 6.022⨉10²³ particles. If 25.00% of the total number of particles are argon atoms and 75.00% are another element, what is the chemical identity of the other constituent?

Textbook Question

A sample that weighs 107.75 g is a mixture of 30% helium atoms and 70% krypton atoms. How many particles are present in the sample?

Textbook Question

Titanium metal is obtained from the mineral rutile, TiO2. How many kilograms of rutile are needed to produce 100.0 kg of Ti?