Calculate the mass (in g) of each sample. a. 5.94×10²⁰ SO₃ molecules b. 2.8×10²² H₂O molecules c. 1 glucose molecule (C₆H₁₂O₆)

검증된 단계별 안내

Identify the given quantity: 5.94 \(\times\) 10^{20} \(\text{ SO}\)_3 \(\text{ molecules}\).

Use Avogadro's number to convert molecules to moles. Avogadro's number is 6.022 \(\times\) 10^{23} \(\text{ molecules/mol}\).

Calculate the number of moles of \(\text{SO}\)_3 by dividing the number of molecules by Avogadro's number.

Determine the molar mass of \(\text{SO}\)_3. The molar mass is the sum of the atomic masses of sulfur (S) and oxygen (O) from the periodic table: \(\text{Molar mass of }\) \(\text{SO}\)_3 = \(\text{Molar mass of S}\) + 3 \(\times\) \(\text{Molar mass of O}\).

Multiply the number of moles of \(\text{SO}\)_3 by its molar mass to find the mass in grams.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

도움이 되었나요?

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Molecular Mass

Molecular mass is the sum of the atomic masses of all atoms in a molecule, expressed in grams per mole (g/mol). For sulfur trioxide (SO3), the molecular mass can be calculated by adding the atomic mass of sulfur (approximately 32.07 g/mol) and three times the atomic mass of oxygen (approximately 16.00 g/mol), resulting in a total molecular mass of about 80.07 g/mol.

Avogadro's Number

Avogadro's number, approximately 6.022 x 10^23, is the number of particles (atoms, molecules, etc.) in one mole of a substance. This constant allows chemists to convert between the number of molecules and the amount of substance in moles, which is essential for calculating mass from a given number of molecules.

Mass Calculation from Molecules

To calculate the mass of a sample from a given number of molecules, first convert the number of molecules to moles using Avogadro's number. Then, multiply the number of moles by the molecular mass of the substance. This process provides the mass in grams, allowing for practical applications in chemistry.

Calculate the mass (in g) of each sample. a. 5.94×1020 SO3 molecules b. 2.8×1022 H2O molecules c. 1 glucose molecule (C6H12O6)