330 kj to joules

Asked by maham237 @ 12/01/2021 in Chemistry viewed by 138 People

It takes 330 joules of energy to raise the temperature of 24.6 gbenzene from 21 degrees Celsius to 28.7 degrees Celsius at constantpressure. What is the molar hear capacity of benzene at constantpressure?

Answered by maham237 @ 12/01/2021

Given :

Energy , E = 330 J .

Initial temperature , $T_i=21^oC$ .

Final temperature , $T_f=24.6^oC$ .

Mass of benzene , m = 24.6 g .

To Find :

The molar hear capacity of benzene at constant pressure .

Solution :

Molecular mass of benzene , M = 78 g/mol .

Number of moles of benzene :

$n=\dfrac{24.6}{78} \ mol\\\\n=0.32 \ mol$

Energy required is given by :

$q=nC_p\Delta T\\\\330=0.32\times C_p\times (28.7-21)\\\\C_p=\dfrac{330}{0.32\times 7.7}\ J\ mol^{-1}^oC^{-1} \\\\C_p=133.9\ J\ mol^{-1}^oC^{-1}$

Hence , this is the required solution .

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