Carbohydrates, a class of compounds containing the elements carbon, hydrogen, and oxygen, were originally thought to contain one water $\left(\mathrm{H}_{2} \mathrm{O}\right)$ molecule for each carbon atom present. The carbohydrate glucose contains six carbon atoms. Write a general formula showing the relative numbers of each type of atom present in glucose.

Short Answer

Expert verified
The general formula for glucose, based on the assumption that it contains one water molecule for each carbon atom present, is \(\text{C}_6\text{H}_{12}\text{O}_6\).

Step by step solution

01

Identify the number of carbon atoms in glucose

Glucose has six carbon atoms, which can be represented as C6.
02

Determine the number of water molecules

As mentioned, carbohydrates were thought to contain one water molecule (H2O) for each carbon atom present. Therefore, glucose must have six water molecules since there are six carbon atoms.
03

Determine the number of hydrogen and oxygen atoms

In each water molecule, there are two hydrogen atoms and one oxygen atom. With six water molecules, we will have: - Hydrogen atoms: 6 x 2 = 12 - Oxygen atoms: 6 x 1 = 6
04

Write the general formula for glucose

Combine the information from steps 1-3 to write the general formula for glucose. We have: - Carbon atoms: C6 - Hydrogen atoms: H12 - Oxygen atoms: O6 So, the general formula for glucose is \(\text{C}_6\text{H}_{12}\text{O}_6\).

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