Stearic acid `[CH_(3)(CH_(2))_(16)CO_(2)H]` is a fatty acid the part of fat that stores most of the energy .1.0 g of Stearic acid was burnt in a bomb calorimeter . The bomb had capacity of 652 `J//^(@)C`. If the temperature of 500 g water rose from 25.0 to `39.3^(@)C` how much heat is released when the stearic acid was burned?
`["Given "C_(p)(H_(2)O)=4.18J//g^(@)c]`

Options

A. `39.21 kJ`
B. `29.91 kJ`
C. `108 kJ`
D. `9.32 kJ`

Answer

A

Explanation

`-q_("reaction") = q_("bomb")+q_("water")`
`-q_("reaction") = [C(bomb)+(m_("water") xx c)] delta T`
`= (652 + 500 xx 4.18) xx 14.3 = 39210 J` or `39.21 kJ`