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This question is wrong.

Heat capacity at constant pressure is more than that at constant volume.

And

Heat capacity at constant pressure - Heat capacity at constant volume= R

Cp - Cv= R ,where R is universal gas constant.

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13y ago
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15y ago

The specific heat at constant pressure is larger than the molar specific heat at constant volume because if heat is added to a system it not only heats up but expands in volume. Therefore the system is doing work against the external pressure and the heat is not only stored as kinetic and potential energy but is also required to perform work. In general more heat can be stored in a system at constant pressure than one at constant volume. The specific heat at constant pressure is larger than the molar specific heat at constant volume because if heat is added to a system it not only heats up but expands in volume. Therefore the system is doing work against the external pressure and the heat is not only stored as kinetic and potential energy but is also required to perform work. In general more heat can be stored in a system at constant pressure than one at constant volume.

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12y ago

The heat capacity of a substance depends on how much heat energy can be stored in the motion of the substance's particles as well as the inter-molecular bond strengths holding the particles in their liquid/solid form.

As we are considering the same substance's heat capacity as we change the volume or pressure, we need only consider the heat energy stored in the motion of the particles. Note that this motion can be internal vibrational motion.

If the volume is increased there is a growing space and "states" to distribute the heat energy in the particles' motion.

The ideal gas law related pressure and volume to temperature : PV = nRT. With it we see that the pressure in inversely proportional to the volume. P = nRT/V

Therefore, if we increase the temperature and keep the pressure the same, we can only do this by increasing the volume. As mentioned before, this provides more "breathing room" for the particles to store the heat energy.

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14y ago

no there is no any substance because Cp=R+Cv and R IS CONSTANT and can never be -ve

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13y ago

c_p = k/(k-1)*R, while c_v = 1/(k-1)*R, with k being the adiabatic index.

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Q: Why the molar specific heat at constant pressure is larger than the molar specific heat at constant volume?
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