A sample of solid benzoic acid
(C_(6)H_(5)(C)/(O)O H)
that weighs 0.800 g is burned in an excess of oxygen to
CO_(2)(g)
and
H_(2)O(l)
in a constant-volume calorimeter at
25\deg C
. The temperature increase is observed to be
2.15\deg C
. The heat capacity of the calorimeter and its contents is known to be
9382JK^(-1)
. (a) Write and balance the equation for the combustion of benzoic acid. (b) Calculate the standard change in internal energy
(\Delta U\deg )
for the combustion of 1.000 mol benzoic acid to
CO_(2)(g)
and
H_(2)O(l)
at
25\deg C
. (c) Calculate the standard enthalpy change
(\Delta H\deg )
for the same reaction as in part (b). (d) Calculate the standard enthalpy of formation per mole of benzoic acid, using data for the standard enthalpies of formation of
CO_(2)(g)
and
H_(2)O(l)
from Appendix D.