The molar mass of a compound is the mass of one mole of that compound. It is calculated by adding up the atomic masses of all the atoms present in the compound.

To calculate the molar mass of C6H10O5, we need to find the atomic masses of carbon (C), hydrogen (H), and oxygen (O).

- The atomic mass of carbon (C) is approximately 12.01 g/mol.
- The atomic mass of hydrogen (H) is approximately 1.01 g/mol.
- The atomic mass of oxygen (O) is approximately 16.00 g/mol.

Now, let's calculate the molar mass of C6H10O5:

- There are 6 carbon atoms in C6H10O5, so the total mass contribution from carbon is 6 * 12.01 g/mol = 72.06 g/mol.
- There are 10 hydrogen atoms in C6H10O5, so the total mass contribution from hydrogen is 10 * 1.01 g/mol = 10.10 g/mol.
- There are 5 oxygen atoms in C6H10O5, so the total mass contribution from oxygen is 5 * 16.00 g/mol = 80.00 g/mol.

Now, we can calculate the molar mass by adding up the mass contributions from each element:

Molar mass of C6H10O5 = 72.06 g/mol + 10.10 g/mol + 80.00 g/mol = 162.16 g/mol

Therefore, the correct answer is option 'C', which is 162.