3 x 10^23 molecules of element Z have a mass of 38 g. What is the mass of 1 mole?
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1 mol contains 6.022E23 molecules. So if 38 g contain 3E23 molecules what would be the weight of 6.022E23 molecules?
To find the mass of 1 mole of element Z, we need to know the molar mass of element Z. The molar mass is the mass of one mole of a substance and is expressed in grams per mole (g/mol).
First, we need to determine the number of molecules in 1 mole of element Z. Avogadro's number tells us that there are 6.022 x 10^23 molecules in 1 mole of any substance.
Given that there are 3 x 10^23 molecules of element Z with a mass of 38 g, we can set up a proportion to find the molar mass:
(38 g) / (3 x 10^23 molecules) = X g / (6.022 x 10^23 molecules)
Cross-multiplying, we have:
(38 g) * (6.022 x 10^23 molecules) = (3 x 10^23 molecules) * X g
Simplifying:
(38 g) * (6.022 x 10^23 molecules) = X g * (3 x 10^23 molecules)
Taking the product of 38 g and 6.022 x 10^23 molecules:
X g = (38 g) * (6.022 x 10^23 molecules) / (3 x 10^23 molecules)
Calculating the mass of 1 mole (X):
X g = 76.044 g/mol
Therefore, the mass of 1 mole of element Z is 76.044 grams per mole.