A sugar crystal contains approximately 1.7×10^17 sucrose (C12H22O11) molecules
What is its mass in mg?
To calculate the mass of a sugar crystal in milligrams (mg), we need to first determine the molar mass of sucrose (C12H22O11) and then multiply it by the number of molecules in the sugar crystal.
1. Begin by calculating the molar mass of sucrose (C12H22O11).
- Atomic mass of Carbon (C) = 12.01 g/mol
- Atomic mass of Hydrogen (H) = 1.01 g/mol
- Atomic mass of Oxygen (O) = 16.00 g/mol
Now, calculate the molar mass of sucrose:
Molar mass of sucrose = (12 x atomic mass of Carbon) + (22 x atomic mass of Hydrogen) + (11 x atomic mass of Oxygen)
= (12 x 12.01) + (22 x 1.01) + (11 x 16.00)
= 144.12 + 22.22 + 176.00
≈ 342.34 g/mol
2. Now, multiply the molar mass of sucrose by the number of molecules in the sugar crystal to find the mass in grams.
Mass of sugar crystal = (Number of molecules) x (Molar mass of sucrose)
= 1.7 × 10^17 molecules x 342.34 g/mol
3. Convert the mass from grams to milligrams.
1 gram (g) = 1000 milligrams (mg)
Mass of sugar crystal = (1.7 × 10^17 molecules x 342.34 g/mol) x (1000 mg/g)
4. Calculate the mass of the sugar crystal in milligrams.
Mass of sugar crystal = (1.7 × 10^17 x 342.34 x 1000) mg
Now, perform the calculations to find the mass of the sugar crystal in milligrams.
12
0.091
Divide by Avagodro's number, then multiply it by molar mass.