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The heat capacity of cocaine (shown below) is much higher than the heat capacity

ID: 524149 • Letter: T

Question

The heat capacity of cocaine (shown below) is much higher than the heat capacity of benzoic acid (also shown). a) The equipartition theorem would predict that cocaine actually has a smaller heat capacity than benzoic acid. b) Statistical mechanics would say that the higher heat capacity of cocaine is due to the higher number of C-C torsional vibrations in the cycloheptane ring. c) Statistical mechanics would say that the higher heat capacity of cocaine is due to the smaller rotational constant due to the larger size. d) Statistical mechanics would say that the higher heat capacity of cocaine is due to the absence of a more anharmonic OH-stretch vibration.

Explanation / Answer

Option b is correct. This is because the number of torsional vibrations in the cycloheptane ring is higher.

Every carbon atom has a configuration and the grupos around it can rotate depending on alosteric impediment, bong energy and temperature.

For example if we follow heat capacity theory, it would say that the heat capacity depends on matter quantity or to the system.

As we can see cocaine molecule has more atoms and this atoms (principally carbon) has an hibridation sp3.

With this configuration the number of rotation systems will be higher and then the heat capacity will be also.