The molecular weight of Kanamycin sulfate (C_{18}H_{36}N_{4}O_{11}.H_{2}SO_{4}) is 582.58056.

Kanamycin (C_{18}H_{36}N_{4}O_{11}) is an organic compound of four elements: Carbon, Hydrogen, Nitrogen, and Oxygen. The Kanamycin sulfate (C_{18}H_{36}N_{4}O_{11}.H_{2}SO_{4}) also contains one molecule of sulfuric acid. The molecular weight of Kanamycin sulfate is 582.58056 which can be calculated by adding up the total weight (atomic weight multiplied by their number) of all its elements.

**CALCULATION PROCEDURE: Kanamycin sulfate [C**_{18}H_{36}N_{4}O_{11}.H_{2}SO_{4}] Molecular Weight Calculation

_{18}H

_{36}N

_{4}O

_{11}.H

_{2}SO

_{4}] Molecular Weight Calculation

**Step 1: Find out the chemical formula and determine constituent atoms and their number in a Kanamycin sulfate molecule.**You will know different atoms and their number in a Kanamycin sulfate molecule from the chemical formula. The chemical formula of Kanamycin sulfate is C

_{18}H

_{36}N

_{4}O

_{11}.H

_{2}SO

_{4}. From the chemical formula, you can find that one molecule of Kanamycin sulfate consists of eighteen Carbon (C) atoms, thirty-six Hydrogen (H) atoms, four Nitrogen (N) atoms, eleven Oxygen atoms, and one sulfuric acid molecule.

**Step 2: Find out the atomic weights of each atom (from the periodic table). **

Atomic weight of Carbon (C): 12.0107 (Ref: Jlab-ele006)

Atomic weight of Hydrogen (H): 1.008 (Ref: Lanl-1)

Atomic weight of Nitrogen (N): 14.00674 (Ref: Jlab-ele007)

Atomic weight of Oxygen (O): 15.9994 (Ref: Jlab-ele008)

Molecular weight of Sulfuric acid [H_{2}SO_{4}]: 98.0796 (see molecular weight calculation of Sulfuric acid [H_{2}SO_{4}])

**Step 3: Calculate the total weight of each atom in a Kanamycin sulfate molecule by multiplying its atomic weight by its number.**

Number of Carbon atoms in Kanamycin sulfate: 18

Atomic weight of Carbon (C): 12.0107

Total weight of Carbon atoms in Kanamycin sulfate: 12.0107 x 18 = 216.1926

Number of Hydrogen atoms in Kanamycin sulfate: 36

Atomic weight of Hydrogen (H): 1.008

Total weight of Hydrogen atoms in Kanamycin sulfate: 1.008 x 36 = 36.288

Number of Nitrogen atoms in Kanamycin sulfate: 4

Atomic weight of Nitrogen (N): 14.00674

Total weight of Nitrogen atoms in Kanamycin sulfate: 14.00674 x 4 = 56.02696

Number of Oxygen atoms in Kanamycin sulfate: 11

Atomic weight of Oxygen (O): 15.9994

Total weight of Oxygen atoms in Kanamycin sulfate: 15.9994 x 11 = 175.9934

Number of sulfuric acid molecules in Kanamycin sulfate: 1

Molecular weight of Sulfuric acid (H_{2}SO_{4}): 98.0796

Total weight of Sulfuric acid in Kanamycin sulfate: 98.0796 x 1 = 98.0796

**Step 4: Calculate the molecular weight of Kanamycin sulfate by adding up the total weight of all atoms.**

Molecular weight of Kanamycin sulfate: 216.1926 (Carbon) + 36.288 (Hydrogen) + 56.02696 (Nitrogen) + 175.9934 (Oxygen) + 98.0796 (Sulfuric acid) = 582.58056

So the molecular weight of Kanamycin sulfate is 582.58056.

Kanamycin sulfate [C_{18}H_{36}N_{4}O_{11}.H_{2}SO_{4}] Molecular Weight Calculation

Molecular weight of Kanamycin sulfate [C_{18}H_{36}N_{4}O_{11}.H_{2}SO_{4}] | |||

Constituent atoms | Number of each atom | Atomic weight | Total weight |

Carbon (C) | 18 | 12.0107 | 216.1926 |

Hydrogen (H) | 36 | 1.008 | 36.288 |

Nitrogen (N) | 4 | 14.00674 | 56.02696 |

Oxygen (O) | 11 | 15.9994 | 175.9934 |

Sulfuric acid (H_{2}SO_{4}) | 1 | 98.0796 | 98.0796 |

Molecular weight of Kanamycin sulfate [C_{18}H_{36}N_{4}O_{11}.H_{2}SO_{4}]: | 582.58056 |

## REFERENCES:

- Lanl-1: https://periodic.lanl.gov/1.shtml
- Jlab-ele006: https://education.jlab.org/itselemental/ele006.html
- Jlab-ele007: https://education.jlab.org/itselemental/ele007.html
- Jlab-ele008: https://education.jlab.org/itselemental/ele008.html
- Jlab-ele016: https://education.jlab.org/itselemental/ele016.html