A 500 mL sample of 0.5 M NaOH at 20 C is mixed with an equal volume of 0.5 M HCl at the same temperature in a calorimeter. The temperature rises to 23.21 C. Calculate the heat of the reaction.( - 53.72 kJ/mol)

Respuesta :

Answer: Heat of reaction ∆H = -13.43kJ

Explanation:

The number of moles of NaOH = the number of moles of HCL = N

N = concentration × volume= CV = 0.5M × 500mL/1000ml/L

N= 0.5 × 0.5= 0.25mol

Since the Molar enthalpy is given by Hm = -53.72kJ/mol

Heat of reaction ∆H = N×Hm

∆H= 0.25mol × -53.72kJ/mol = -13.43kJ

Heat of reaction ∆H = -13.43kJ

Heat of reaction ∆H = -13.43kJ

The number of moles of NaOH = the number of moles of HCL = N

N = concentration × volume= CV = [tex]\frac{0.5M * 500mL}{1000ml/L}[/tex]

N= [tex]0.5 * 0.5= 0.25mol[/tex]

Given:

Molar enthalpy, [tex]H_m = -53.72kJ/mol[/tex]

Heat of reaction:

It is the amount of heat that must be added or removed during a chemical reaction in order to keep all of the substances present at the same temperature.

Heat of reaction, [tex]\triangle H = N*H_m[/tex]

[tex]\triangle H= 0.25mol * -53.72kJ/mol \\\\\triangle H= -13.43kJ[/tex]

Thus, Heat of reaction, [tex]\triangle H = -13.43kJ[/tex]

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