A compound with the same hydrogen-to-carbon ratio as cyclobutane is (a) \(\mathrm{C}_{4} \mathrm{H}_{10} ;\) (b) \(\mathrm{CH}_{3} \mathrm{CH}=\mathrm{CHCH}_{3}\) (c) \(\mathrm{CH}_{3} \mathrm{C}=\mathrm{CCH}_{3} ;\) (d) \(\mathrm{C}_{6} \mathrm{H}_{6}\).

Short Answer

Expert verified
None of the options has the same hydrogen-to-carbon ratio as cyclobutane.

Step by step solution

01

Calculate the Hydrogen-to-Carbon Ratio of Cyclobutane

The molecular formula of cyclobutane is \(C_4H_8\). The hydrogen-to-carbon ratio is therefore \(8/4 = 2\). This means there are twice as many hydrogen atoms as there are carbon atoms in cyclobutane.
02

Check the Hydrogen-to-Carbon Ratio in each Option

Calculate the hydrogen-to-carbon ratio for each compound given in the options and compare it with that of cyclobutane.\n(a) \(\mathrm{C}_{4} \mathrm{H}_{10}\) has a ratio of \(10/4 = 2.5\)\n(b) \(\mathrm{CH}_{3} \mathrm{CH}=\mathrm{CHCH}_{3}\) has a ratio of \(6/4 = 1.5\)\n(c) \(\mathrm{CH}_{3} \mathrm{C}=\mathrm{CCH}_{3}\) has a ratio of \(6/4 = 1.5\)\n(d) \(\mathrm{C}_6H_6\) has a ratio of \(6/6 = 1\)
03

Select the Compound with the Same Hydrogen-to-Carbon Ratio as Cyclobutane

After comparing the hydrogen-to-carbon ratio in each option to that of cyclobutane, it can be concluded that none of the options has the same ratio as cyclobutane. Therefore, none of the given options (a), (b), (c), or (d) has the same hydrogen-to-carbon ratio as cyclobutane.

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