Final answer:
The mass of 1.6 x 10^-3 mol glucose is calculated by multiplying the number of moles by the molar mass of glucose, which gives 0.28825 g, and is rounded to 0.288 g based on significant figures.
Step-by-step explanation:
To determine the mass in grams of 1.6 x 10-3 mol glucose, we need to calculate it using the molar mass of glucose. The molar mass of glucose (C6H12O6) can be calculated as follows:
- C (carbon): 12.01 g/mol x 6 = 72.06 g/mol
- H (hydrogen): 1.008 g/mol x 12 = 12.096 g/mol
- O (oxygen): 16.00 g/mol x 6 = 96.00 g/mol
Adding these masses gives us: 72.06 + 12.096 + 96.00 = 180.156 g/mol for glucose. We then convert the number of moles of glucose to the required mass:
Molar mass of glucose = 180.156 g/mol
Moles of glucose = 1.6 x 10-3 mol
To find the mass:
Mass = Molar mass x Number of moles
Mass = 180.156 g/mol x 1.6 x 10-3 mol
Mass = 0.28825 g
This mass would typically be rounded according to the significant figures present in the original quantity of moles provided. In this case, 0.288 g would be the appropriate mass, rounded to three significant figures.