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Multiple Choice
Which general formula can be used to identify carbohydrates?
A
$C_nH_{2n-2}O_n$
B
$C_nH_{2n}O_{2n}$
C
$C_n(H_2O)_n$
D
$C_nH_{2n+2}O_n$
Verified step by step guidance
1
Step 1: Understand the definition of carbohydrates. Carbohydrates are organic molecules composed of carbon (C), hydrogen (H), and oxygen (O) atoms, typically in a ratio that reflects the general formula (CH2O)n.
Step 2: Analyze the given formulas. Each formula represents a different arrangement of carbon, hydrogen, and oxygen atoms. Compare these formulas to the typical structure of carbohydrates.
Step 3: Recall that carbohydrates are often referred to as 'hydrates of carbon,' meaning their structure can be simplified to a repeating unit of (CH2O). This is why the correct general formula for carbohydrates is Cn(H2O)n.
Step 4: Evaluate the incorrect options. For example, $C_nH_{2n-2}O_n$ and $C_nH_{2n+2}O_n$ do not match the typical ratio of hydrogen to oxygen found in carbohydrates. Similarly, $C_nH_{2n}O_{2n}$ suggests an excess of oxygen, which is not characteristic of carbohydrates.
Step 5: Conclude that the correct general formula for identifying carbohydrates is $C_n(H_2O)_n$, as it accurately represents the molecular structure and ratio of elements in carbohydrates.