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Chapter 1: Problem 42

The smallest possible piece of the sugar glucose has twice as many hydrogen atoms as oxygen atoms or carbon atoms. Given that glucose has six carbon atoms, write its chemical formula with carbon first, then hydrogen, then oxygen.

Short Answer

Expert verified
The chemical formula of glucose with carbon first, then hydrogen, then oxygen is: \(C_6H_{12}O_6\).

Step by step solution

01

Analyze Given Information About Glucose

We know that glucose has six carbon atoms (C), and the number of hydrogen atoms (H) is twice the number of oxygen atoms (O) or carbon atoms. So, we express the number of hydrogen atoms in terms of the number of carbon atoms: H = 2 * C
02

Calculate the Number of Hydrogen Atoms

Given that glucose has six carbon atoms: C = 6. Now, we calculate the number of hydrogen atoms using the formula H = 2 * C: H = 2 * 6 H = 12
03

Calculate the Number of Oxygen Atoms

From the information that hydrogen atoms are twice as many as oxygen atoms or carbon atoms, we can write as follows: H = 2 * O Since we have already calculated H=12, we can find the number of oxygen atoms O: 12 = 2 * O O = 12 / 2 O = 6
04

Write the Chemical Formula of Glucose

Finally, we have all the necessary information to write the chemical formula of glucose with the carbon, hydrogen, and oxygen atoms in that order: C6H12O6

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