Question

What is the difference between ${\mathrm{C}}_{\mathrm{p}}$ and ${\mathrm{C}}_{\mathrm{v}}$ is equal to?

Answer 1

${\mathrm{C}}_{\mathrm{p}}$ and ${\mathrm{C}}_{\mathrm{v}}$:

• As heat is consumed by a body, its temperature rises.
• The temperature lowers as heat departs.
• The temperature of an object measures the overall kinetic energy of the particles that make up that object.
• As a result, when heat is absorbed by an item, it is turned into particle kinetic energy, causing the temperature to rise.
• ${\mathrm{C}}_{\mathrm{p}}$ denotes the molar heat capacity under constant pressure.
• ${\mathrm{C}}_{\mathrm{v}}$ represents the molar heat capacity at constant volume.

The connection between ${\mathrm{C}}_{\mathrm{p}}$ and ${\mathrm{C}}_{\mathrm{v}}$:

• We know that ${\mathrm{C}}_{\mathrm{p}}={\mathrm{C}}_{\mathrm{v}}+\mathrm{R}$
• ${\mathrm{C}}_{\mathrm{p}}-{\mathrm{C}}_{\mathrm{v}}=\mathrm{R}$
• R has a value of $8.314{\mathrm{JK}}^{-1}{\mathrm{mol}}^{-1}.$

So, the difference between ${\mathrm{C}}_{\mathrm{p}}$ and ${\mathrm{C}}_{\mathrm{v}}$ is equal to R