A sugar crystal contains approximately 1.7x10^17 sucrose. What is its mass in milligrams?
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To find the mass of the sugar crystal in milligrams, we need to know the molar mass of sucrose. The molar mass of sucrose (C12H22O11) is approximately 342.3 grams per mole.
To convert moles to grams, we can use the formula:
Mass (g) = Number of moles × Molar mass (g/mol)
To convert grams to milligrams, we can multiply the mass in grams by 1000.
Now let's calculate the mass of the sugar crystal.
Number of moles of sucrose = 1.7x10^17 sucrose molecules / (6.022x10^23 molecules/mol)
= (1.7x10^17) / (6.022x10^23) moles
Mass (g) = (1.7x10^17) / (6.022x10^23) mol × 342.3 g/mol
Finally, we can convert the mass to milligrams by multiplying by 1000:
Mass (mg) = Mass (g) × 1000
By following these steps, you can calculate the mass of the sugar crystal in milligrams.