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")xxc))DeltaT`
`=(652 + 500 xx 4.18 )xx14.3`
`=39210 " J or "39.21" kJ"`