Apart from the fact that between the two structures, only cyclohexe-4-ene-cis-1,2-dicarboxylic acid has the OH group shown on the IR spectrum. In what other majors way will the IR spectrum of cyclohex-4-ene-cis-1,2-dicorboxylic anhydride differ from the IR spectrum of cyclohexe-4-ene-cis-1,2-dicarboxylic acid?

The COOH peak will be shorter, broadened, and shifted to a shorter wavelength.

To determine the major differences between the IR spectra of cyclohex-4-ene-cis-1,2-dicarboxylic anhydride and cyclohexe-4-ene-cis-1,2-dicarboxylic acid, we first need to understand the characteristic functional groups that are present in each compound.

Cyclohex-4-ene-cis-1,2-dicarboxylic acid contains a carboxylic acid functional group (-COOH), which is typically associated with a peak in the IR spectrum around 2500-3300 cm^-1 (broad and strong) due to the O-H stretching vibration. Moreover, it also possesses a carbonyl group (-C=O) originating from the carboxylic acid group, which usually gives rise to a strong peak in the IR spectrum around 1700 cm^-1.

On the other hand, cyclohex-4-ene-cis-1,2-dicarboxylic anhydride has a different functional group known as the carbonyl anhydride (-C(O)O-C(O)-) group. This functional group also leads to a strong peak around 1700 cm^-1 in the IR spectrum due to the carbonyl stretching vibration. However, since it lacks the carboxylic acid group, there will be no O-H stretching vibration peak present in the IR spectrum.

Therefore, the major difference between the IR spectra of these two compounds is the absence of the O-H stretching vibration peak (around 2500-3300 cm^-1) in the IR spectrum of cyclohex-4-ene-cis-1,2-dicarboxylic anhydride compared to the IR spectrum of cyclohexe-4-ene-cis-1,2-dicarboxylic acid.