Final answer:
The mass of the sample of C6H12O6 that contains 1.7 × 10^28 hydrogen atoms can be calculated by first finding the number of moles of hydrogen, then converting that to moles of glucose and finally multiplying by the molar mass of glucose.
Step-by-step explanation:
To calculate the mass of a sample of C6H12O6 that contains 1.7 x 1028 hydrogen atom, we need to relate the number of hydrogen atoms in our sample to the molar mass of C6H12O6 (glucose). Firstly, we determine the number of moles of hydrogen atoms using Avogadro's number, 6.02 x 1023 atoms per mole. Each molecule of glucose contains 12 hydrogen atoms, so we calculate the number of glucose molecules and multiply by its molar mass.
Here's a step-by-step calculation:
- Divide the number of hydrogen atoms in the sample (1.7 × 1028) by Avogadro's number (6.02 × 1023) to get the number of moles of hydrogen atoms.
- Since there are 12 hydrogen atoms per molecule of glucose, divide the number of moles of hydrogen by 12 to find the number of moles of glucose.
- Multiply the number of moles of glucose by its molar mass to find the mass of the sample.
This calculation will yield the mass of C6H12O6 in grams, considering C6H12O6 has a molar mass of 180.16 g/mol.