Question

A veterinarian prescribed 1,500 mg of glucosamine (C6H₁3 NO₂) to a golden retriever

with an arthritic hip. How many moles is the dog taking each day?
8.4 x 10-3
5.59 x 10-3
8.39
1.5

Answer 1

To calculate the moles of glucosamine (C6H13NO5) that a golden retriever is taking each day, first, determine the molar mass of glucosamine (179.174 g/mol) and then divide the mass of glucosamine prescribed (1.5 g) by its molar mass, resulting in approximately 8.37 x 10^-3 moles.

option c is the correct

Step-by-step explanation:

The question involves converting a mass of glucosamine to moles, which requires the molar mass of glucosamine for calculation. The molecular formula for glucosamine is C6H13NO5. To find the number of moles, we divide the mass of glucosamine by its molar mass. Let's calculate the molar mass of glucosamine first:

• Carbon (C): 6 atoms × 12.01 g/mol = 72.06 g/mol
• Hydrogen (H): 13 atoms × 1.008 g/mol = 13.104 g/mol
• Nitrogen (N): 1 atom × 14.01 g/mol = 14.01 g/mol
• Oxygen (O): 5 atoms × 16.00 g/mol = 80.00 g/mol

Adding these values together, the molar mass of glucosamine is: 72.06 + 13.104 + 14.01 + 80.00 = 179.174 g/mol.

To find out how many moles of glucosamine are in 1500 mg, we convert the mass to grams (1500 mg = 1.5 g) and then use the molar mass:

Number of moles = mass (g) ÷ molar mass (g/mol) = 1.5 g ÷ 179.174 g/mol

Therefore, the golden retriever is taking approximately 8.37 x 10-3 moles of glucosamine each day.