Question

What is the mass of 0.513 mol Al2O3? Give your answer to the correct number of significant figures. (Molar mass of Al2O3 = 102.0 g/mol)

0.513 mol Al2O3

Answer 1

The mass of 0.513 mol Al2O3, using the molar mass of 102.0 g/mol, is 52.3 g, expressed to three significant figures as this matches the least number of significant figures in the given data.

Step-by-step explanation:

The mass of 0.513 mol Al2O3 can be calculated by multiplying the number of moles of Al2O3 by its molar mass. The molar mass of Al2O3 is given as 102.0 g/mol. Therefore, the calculation would be:

Mass of Al2O3 = 0.513 mol × 102.0 g/mol = 52.326 g of Al2O3

When expressing the calculated mass, it is important to present it with the correct number of significant figures. Given that the molar mass has four significant figures and the number of moles (0.513) has three significant figures, the final answer should also have three significant figures, resulting in 52.3 g of Al2O3.

Answer 2

.513mol x (102g/1mol)

Essentially, this is .513 x 102
Which equals: 52.326
But because you can only have 3 significant figures, your answer is:
52.3 grams

I hope this Helps!