A 0.5865-g sample of lactic acid (HC3H5O3) is burned in a calorimeter whose heat capacity is 4.812 kJ/oC. The temperature increases from 23.10 °C to 24.95 °C. Calculate the heat of combustion of lactic acid (a) per gram and (b) per mole.

Respuesta :

Answer:

a) 15.2 kJ/g

b) 1367 kJ/mol

Explanation:

Given:

Mass of lactic acid = 0.5865 g

Heat capacity C of calorimeter = 4.812 kJ/C

Initial temperature, T1 = 23.10 C

Final temperature, T2 = 24.95 C

To determine:

Heat of combustion/gram and heat/mole lactic acid

Calculation:

Molar mass of lactic acid = 90.08 g/mol

[tex]moles\ lactic\ acid = \frac{0.5865g}{90.08g/mol} =0.00651\ moles[/tex]

The heat of combustion is given as:

[tex]H = C\Delta T= C(T2-T1)[/tex]

where C = heat capacity of calorimeter

T1 and T2 are the initial and final temperatures

[tex]H = C(T2-T1)=4.812kJ/C(24.95-23.10)C=8.90 kJ[/tex]

a) heat of combustion per gram

[tex]H = \frac{8.90kJ}{0.5865g} =15.2kJ/g[/tex]

b) heat of combustion per mole

[tex]H = \frac{8.90kJ}{0.00651moles} =1367kJ/mol[/tex]

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