Chapter 17: Problem 5
A particular linear hydrocarbon molecule has six carbons and ten hydrogens. Is it unsaturated or saturated?
Short Answer
Expert verified
The given hydrocarbon molecule (C6H10) does not match the general formula for either alkanes (saturated) or alkenes (unsaturated). Therefore, the molecule is unsaturated, but it is not an alkene. It might be an alkyne, which contains at least one triple bond or have more than one double bond.
Step by step solution
01
Identify the general formula for alkanes and alkenes
The general formula for alkanes is CnH2n+2, where 'n' is the number of carbon atoms. Alkanes are saturated hydrocarbons.
The general formula for alkenes is CnH2n, where 'n' is the number of carbon atoms. Alkenes are unsaturated hydrocarbons.
02
Check if the given hydrocarbon matches the formula for alkanes
From the exercise, the given hydrocarbon has 6 carbons (C6) and 10 hydrogens (H10). Now, let's check if this matches the alkane formula.
Using the alkane formula CnH2n+2, where n=6:
C6H2(6)+2 = C6H14
The alkane formula predicts a hydrocarbon with 14 hydrogens, but the given hydrocarbon has only 10 hydrogens. Thus, it does not match the formula for alkanes.
03
Check if the given hydrocarbon matches the formula for alkenes
Now let's check if the given hydrocarbon matches the alkene formula.
Using the alkene formula CnH2n, where n=6:
C6H2(6) = C6H12
The alkene formula predicts a hydrocarbon with 12 hydrogens, but the given hydrocarbon has only 10 hydrogens. Thus, it does not match the formula for alkenes either.
04
Determine if the given hydrocarbon is saturated or unsaturated
Since the given hydrocarbon molecule (C6H10) does not match the general formula for either alkanes (saturated) or alkenes (unsaturated), we can conclude that the given hydrocarbon is an unsaturated molecule, but it is not an alkene. It may be an alkyne, which contains at least one triple bond, or it may have more than one double bond. But in any case, the molecule is unsaturated.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Alkane General Formula
Understanding the structure of hydrocarbons is pivotal in organic chemistry, for it allows us to predict properties and reactivity. The simplest class of hydrocarbons are alkanes, which are composed entirely of single bonds between carbon atoms and are termed saturated hydrocarbons. The general formula for alkanes is represented as CnH2n+2.
An alkane with three carbon atoms, for example, will have \( C_3H_2(3)+2 \), which simplifies to \( C_3H_8 \), commonly known as propane. This formula is paramount when deducing the saturation of hydrocarbons. If you encounter a hydrocarbon and its hydrogen count matches the \( 2n+2 \) guideline, where 'n' is the number of carbon atoms, you've got an alkane on your hands.
An alkane with three carbon atoms, for example, will have \( C_3H_2(3)+2 \), which simplifies to \( C_3H_8 \), commonly known as propane. This formula is paramount when deducing the saturation of hydrocarbons. If you encounter a hydrocarbon and its hydrogen count matches the \( 2n+2 \) guideline, where 'n' is the number of carbon atoms, you've got an alkane on your hands.
Alkene General Formula
Moving away from alkanes, a different branch we encounter is alkenes, known for their double bonds. Alkenes are unsaturated due to these double bonds, which allow for additional atoms to add across the double bond, unlike the filled-up alkanes. The general formula for alkenes can be represented as CnH2n.
For instance, ethene, with two carbon atoms (n=2), aligns with this formula as C2H4. One of the most straightforward ways to recognize an alkene is to check for this general formula; if the number of hydrogens is double the number of carbons (without the plus two from alkanes), you are dealing with an alkene. This critical formula helps differentiate between the saturation levels in hydrocarbons.
For instance, ethene, with two carbon atoms (n=2), aligns with this formula as C2H4. One of the most straightforward ways to recognize an alkene is to check for this general formula; if the number of hydrogens is double the number of carbons (without the plus two from alkanes), you are dealing with an alkene. This critical formula helps differentiate between the saturation levels in hydrocarbons.
Saturated vs Unsaturated Hydrocarbons
When distinguishing between hydrocarbons, one of the essential classifications is whether they are saturated or unsaturated. A saturated hydrocarbon has every carbon atom joined to another atom by a single bond, while an unsaturated hydrocarbon contains one or more double or triple bonds. In addition to alkanes being saturated and alkenes, with their defining double bonds, being unsaturated, we also have alkynes that are unsaturated and showcase triple bonds.
Identifying Saturations
By following the rules of their respective general formulas, if a hydrocarbon abides by the alkane formula (CnH2n+2), it is saturated. Conversely, if it matches the alkene formula of CnH2n, or even less hydrogen atoms indicating a potential alkyne (CnH2n-2), it is unsaturated. It's this fundamental understanding that guides chemists in predicting the hydrocarbon's properties and stability.Chemical Formula Calculation
The process of deciphering whether a hydrocarbon is saturated or unsaturated isn't merely theoretical. Instead, it requires the ability to perform chemical formula calculations. This skill involves using the known general formulas for alkanes, alkenes, and possibly alkynes, to determine the saturation level of a molecular structure given its carbon and hydrogen atom count.
For instance, let's remind ourselves of the example where we have six carbons. The alkane hypothesis would suggest 14 hydrogens (via the CnH2n+2 rule), while for alkenes, the formula yields 12 hydrogens (per the CnH2n rule). When the actual number of hydrogens deviates from these predictions, it suggests a different class of hydrocarbon, such as an alkene or an alkyne, signifying unsaturation. Mastering these calculations is essential for any student venturing into organic chemistry, industrial applications of hydrocarbons, or even biochemistry where these organic compounds play a crucial role.
For instance, let's remind ourselves of the example where we have six carbons. The alkane hypothesis would suggest 14 hydrogens (via the CnH2n+2 rule), while for alkenes, the formula yields 12 hydrogens (per the CnH2n rule). When the actual number of hydrogens deviates from these predictions, it suggests a different class of hydrocarbon, such as an alkene or an alkyne, signifying unsaturation. Mastering these calculations is essential for any student venturing into organic chemistry, industrial applications of hydrocarbons, or even biochemistry where these organic compounds play a crucial role.