Avogadro's number, molar mass, and the chemical formula of a compound are three useful conversion factors. What unit conversions can be accomplished using these conversion factors?

To convert grams of a substance to moles or vice versa, we utilize the molar mass of that substance. The molar mass is the mass of one mole of a substance, expressed in grams. To convert the mass in grams to moles, we use the following formula: \[moles = \frac{mass\:in\:grams}{molar\:mass}\] To convert moles to mass in grams, use this formula: \[mass\:in\:grams= moles\times molar\:mass\]

To convert between the number of particles (atoms, ions, or molecules) and moles, we use Avogadro's number. Avogadro's number (\(6.022 \times 10^{23}\)) is the number of particles in one mole of a substance. To convert moles to the number of particles, use the following formula: \[particles = moles \times Avogadro's\:number\] To convert the number of particles to moles, use this formula: \[moles = \frac{particles}{Avogadro's\:number}\]

To convert between grams and the number of particles, we need to combine the previous two conversion factors. First, convert grams to moles using the molar mass, and then convert moles to particles using Avogadro's number. \[moles = \frac{mass\:in\:grams}{molar\:mass}\] \[particles = moles \times Avogadro's\:number\] To convert the number of particles to grams, first, convert particles to moles using Avogadro's number, and then convert moles to mass in grams using the molar mass. \[moles = \frac{particles}{Avogadro's\:number}\] \[mass\:in\:grams = moles \times molar\:mass\] These are the main unit conversions that can be accomplished using Avogadro's number, molar mass, and the chemical formula of a compound.