A large organic molecule has a mass of 1.41 × 10 − 21 1.41\times10^{-21} kg. What is the molar mass of this compound?

Welcome back everybody. We are told that the mass of a given molecule of a substance is 1.297 times 10 to the negative 22nd rams. And we are asked to calculate the molar mass of The substance. Well, the formula for the molar mass of the substance is simply just avocados number times the mass of a single molecule. So let's go ahead and plug in those numbers here we have that our molar mass is equal to six oh, sorry, let me erase that here real quick 6.22 times 10 to the 23rd times 1.297 times 10 to the negative 22nd. Which gives us a final answer of 78. g per mole corresponding to our final answer. Choice of E. Thank you all so much for watching. Hope this video helped. We will see you all in the next one.

21. Kinetic Theory of Ideal Gases

The Ideal Gas Law

Physics

21. Kinetic Theory of Ideal Gases

The Ideal Gas Law

1:07 minutes

Problem 22

Textbook Question

A large organic molecule has a mass of $1.41 \times 10^{- 21}$ kg. What is the molar mass of this compound?

Verified step by step guidance

Understand that molar mass is the mass of one mole of a substance, typically expressed in grams per mole (g/mol). To find the molar mass, we need to relate the mass of a single molecule to the mass of one mole of molecules.

Recall that one mole of any substance contains Avogadro's number of molecules, which is approximately 6.022 x 10^23 molecules/mol.

To find the molar mass, multiply the mass of a single molecule by Avogadro's number. This will give you the mass of one mole of molecules.

Set up the equation for molar mass: Molar Mass = (mass of one molecule) * (Avogadro's number).

Substitute the given mass of the molecule (1.41 * 10^-21 kg) and Avogadro's number (6.022 x 10^23 molecules/mol) into the equation to find the molar mass in kg/mol. Convert this result to g/mol by multiplying by 1000, since 1 kg = 1000 g.

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 atoms in a molecule. Understanding molar mass is crucial for converting between the mass of a substance and the amount in moles, which is essential for stoichiometric calculations in chemistry.

Avogadro's Number

Avogadro's number, approximately 6.022 x 10^23, is the number of atoms, ions, or molecules in one mole of a substance. This constant allows chemists to relate the macroscopic scale of substances we can measure to the microscopic scale of individual molecules or atoms, facilitating the calculation of molar mass from the mass of a single molecule.

Conversion from Molecular Mass to Molar Mass

To find the molar mass from the mass of a single molecule, multiply the molecular mass by Avogadro's number. This conversion is based on the definition of a mole, which links the mass of individual molecules to the mass of a mole of those molecules, providing a bridge between atomic-scale measurements and laboratory-scale quantities.

Watch next

Master Ideal Gases and the Ideal Gas Law with a bite sized video explanation from Patrick

Start learning