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1. Thermo-physical properties 2. Radiation properties - nptel - Indian ...

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Mechanical Measurements Prof S.P.Venkatesan<br />

<strong>Indian</strong> Institute of Technology Madras<br />

Example 5<br />

A pellet of benzoic acid weighing 0.103 g is burnt in a bomb calorimeter and the<br />

temperature of the calorimeter increases by <strong>2.</strong>17°C. What is the heat capacity of<br />

the calorimeter?<br />

Consider the combustion reaction. 7.5 moles of oxygen are required for<br />

complete combustion of benzoic acid.<br />

CHO + 7.5O→ 7CO+ 3HO<br />

<br />

7 6 2 2 2 2<br />

Solid Gas Gas Liquid<br />

The change in the number of moles during the reaction is given by<br />

Δ n = n2 − n1 = 7<br />

<br />

− 7.5<br />

<br />

=−0.5<br />

CO2 in O2 in<br />

the product t he reac tan t<br />

Per mole of benzoic acid basis, we have<br />

Δ U=ΔH−ΔnℜT =−3227 −( − 0.5) × 8.3143× 298<br />

=−3225.8<br />

kJ / mol<br />

The molecular weight of benzoic acid is calculated as<br />

Molecular weight = 1<strong>2.</strong>011× 7<br />

<br />

+ <strong>1.</strong>008× 6<br />

<br />

+ 15.9995× 2<br />

C H2<br />

O<br />

= 12<strong>2.</strong>12 g / mol<br />

0.103<br />

0.000843 mol<br />

Thus 0.103 g of benzoic acid corresponds to 12<strong>2.</strong>12 =<br />

. The heat<br />

released by combustion of this is<br />

Q = 0.000843× 3225.8 =<br />

<strong>2.</strong>7207 kJ

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