Total mass of Oxygen atoms

Chemistry Level 2

If you make an aqueous solution by dissolving 18 18 g of glucose ( C X 6 H X 12 O X 6 ) (\ce{C6H12O6}) into 90 90 g of water ( H X 2 O ) , (\ce{H2O}), what is the total mass of oxygen atoms in the aqueous solution?

59.6 g 69.6 g 79.6 g 89.6 g

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2 solutions

Chew-Seong Cheong
Feb 15, 2016

1 1 . Mass of oxygen atoms in 18 g 18 \space g of glucose:

m O 1 = molar mass of O X 6 molar mass of C X 6 H X 12 O X 6 × 18 g = 6 × 16 6 × 12 + 12 × 1 + 6 × 16 × 18 g = 9.6 g \begin{aligned} \quad \quad m_{O1} & = \frac{\text{molar mass of }\ce{O6}}{\text{molar mass of }\ce{C6H12O6}} \times 18 \space g \\ & = \frac{6 \times 16}{6\times 12 + 12 \times 1 + 6 \times 16} \times 18 \space g \\ & = 9.6 \space g \end{aligned}

2 2 . Mass of oxygen atoms in 90 g 90 \space g of water:

m O 2 = molar mass of O molar mass of H X 2 O × 90 g = 16 2 × 1 + 16 × 90 g = 80 g \begin{aligned} \quad \quad m_{O2} & = \frac{\text{molar mass of }\ce{O}}{\text{molar mass of }\ce{H2O}} \times 90 \space g \\ & = \frac{16}{2 \times 1 + 16} \times 90 \space g \\ & = 80 \space g \end{aligned}

Therefore, the total mass of oxygen atoms in glucose solution = m O 1 + m O 2 = 89.6 g = m_{O1} + m_{O2} = \boxed{89.6} \space g .

Venture Hi
Feb 6, 2014

1 mol of C6H12O6 contains 72 grams of C ( 1 mol of carbon is 12 g), 12 grams of Hydrogen( 1 mol of H is 1 g) and 96 grams of Oxygen ( 1 mol of O2 is 16 g). Therefore, 1 mol of glucose = 72+112+96 =180 g. If an aqueous solution contains 18 g of glucose, then the number of grams of Oxygen in this compound is 96/180 X 18g = 9.6 g. In the 90g of water ( H2O), 1 mol of water contains 2 g of H and 16 g of Oxygen or a total of 18 g. The amount of Oxygen in this 90 g of water is 16/18 x 90g = 80 g. Alas, the total MASS OF oxygen ATOMS in this Solution is 9.6+80=89.6g

It would be better if you split it into paragraphs to enhance its readability.

Use two newlines instead of one to create new paragraphs.

Kenny Lau - 6 years, 11 months ago

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