To order the given hydrocarbons by their boiling points in increasing order, we need to consider the relationship between the number of carbon atoms in each hydrocarbon and its boiling point. Generally, the more carbon atoms a hydrocarbon has, the higher its boiling point.
Here's the list of hydrocarbons provided:
1. \(C_{150} H_{302}\)
2. \(C_2 H_6\)
3. \(C_{20} H_{42}\)
4. \(C_9 H_{20}\)
5. \(C_{32} H_{66}\)
6. \(C_{11} H_{24}\)
7. \(C_{16} H_{34}\)
We'll list the hydrocarbons with their corresponding number of carbon atoms for reference:
1. \(C_{150} H_{302}\) has 150 carbon atoms.
2. \(C_2 H_6\) has 2 carbon atoms.
3. \(C_{20} H_{42}\) has 20 carbon atoms.
4. \(C_9 H_{20}\) has 9 carbon atoms.
5. \(C_{32} H_{66}\) has 32 carbon atoms.
6. \(C_{11} H_{24}\) has 11 carbon atoms.
7. \(C_{16} H_{34}\) has 16 carbon atoms.
To order these according to their number of carbon atoms in increasing order (which correlates to increasing boiling points):
[tex]\[ \{C_2 H_6, \; C_9 H_{20}, \; C_{11} H_{24}, \; C_{16} H_{34}, \; C_{20} H_{42}, \; C_{32} H_{66}, \; C_{150} H_{302} \} \][/tex]
Therefore, the order of hydrocarbons from the one with the lowest boiling point to the one with the highest boiling point is:
1. \(C_2 H_6\)
2. \(C_9 H_{20}\)
3. \(C_{11} H_{24}\)
4. \(C_{16} H_{34}\)
5. \(C_{20} H_{42}\)
6. \(C_{32} H_{66}\)
7. [tex]\(C_{150} H_{302}\)[/tex]
