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Heat of Reaction

Heat of a rea...

Question

Heat of a reaction is defined as the amount of heat absorbed or evolved at a given temperature when the reactants have combined to form the products is represented by balanced chemical equation. If the heat is denoted by $q$ then the numerical value of $q$ depends on the manner in which
the reaction is performed for two methods of conducting chemical reactions in calorimeters.

The heat capacity of a bomb calorimeter is 300 J/K. When 0.16 gm of methane was burnt in this calorimeter, the temperature rose by $3^{\circ} C$ . The value of $Δ U$ per mole will be:

A

100 kJ

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B

90 kJ

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C

900 kJ

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D

48 kJ

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Solution

The correct option is B 90 kJ
Given data:
$C = \frac{q}{Δ T} = 300 J / K$
Reaction:
$C H_{4} + 2 O_{2} \to C O_{2} + 2 H_{2} O$
foe given mole of methane (0.16/16=0.01) mole
$300 = \frac{q}{3}$
$q = 900 J$
so for one mole of methane
$q = 900 \times \frac{1}{0.01} = 90 k J$

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