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# Why is ${C}_{p}$ higher than ${C}_{v}$?

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## ${C}_{\mathit{p}}$ is higher than ${C}_{v}$ because:When a gas is heated at a constant volume, the work performed on it increases the system's internal energy. When a gas is heated under constant pressure, work is done to overcome the pressure, and the volume expands, resulting in a rise in the system's internal energy. As a result, ${C}_{p}$ might be stated to be bigger than ${C}_{v}$.Where ${C}_{p}$ Molar heat capacity at constant pressure, and ${C}_{v}$ molar heat capacity at constant volume.Relationship between ${C}_{\mathit{p}}$ and ${C}_{v}$:The relationship between ${C}_{\mathit{p}}$ and ${C}_{v}$ are as follows:${C}_{\mathit{P}}\mathit{-}{C}_{\mathit{V}}=\mathrm{R}$, where R is the gas constant.

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