How many grams are in a sample of KOH with 5.34 x 10^24 molecules?

Mass of KOH = 497.78 g

Explanation:

Given data

mass of KOH = ?

number of KOH molecules = 5.34 * 10²⁴

molar mass of KOH = 56.12 g/mol

Solution

1st we find out the number of moles of KOH

number of moles = number of molecules given / Avogadro number

number of moles of KOH = 5.34 * 10²⁴ / 6.022 * 10²³

number of moles of KOH = 8.87 mol

Now we find out the mass of KOH

Mass of KOH = moles * molar mass

Mass of KOH = 8.87 mol * 56.12 g/mol

Mass of KOH = 497.78 g