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Answer: Option 3

By the definition of $${C_P}$$ we can write $${C_P} = \mathop {\lim }\limits_{\delta T \to 0} {\left( {\frac{{\delta Q}}{{\delta T}}} \right)_P}.$$ Under constant pressure process, and by first law of thermodynamics $$Q = dH.$$ $$\eqalign{ & \Rightarrow {\left( {\frac{{\partial H}}{{\partial T}}} \right)_P} = {C_P} \cr & \Rightarrow \Delta H = \int {{C_P}.dT} \cr} $$

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