In: Chemistry
When 0.601 g of biphenyl (C12H10) undergoes combustion in a bomb calorimeter, the temperature rises from 26.1 ∘C to 30.3 ∘C.
Find ΔErxn for the combustion of biphenyl in kJ/mol biphenyl. The heat capacity of the bomb calorimeter, determined in a separate experiment, is 5.86 kJ/∘C.
Given
Mass of biphenyl = 0.601 g
Heat capacity of the bomb calorimeter = 5.86 k J / 0 C
Change in temperature = 30.3 0 C - 26.1 0 C = 4.2 0 C
Molar mass of biphenyl ( C12H10 ) = ( 12
12.01 ) + ( 10
1.0079 ) = 154.20 g / mol
We have relation,
E = Heat capacity of the calorimeter
Change in temperature
( Molar mass / Mass )

E
= 5.86 k J / 0 C
4.2 0 C
( 154.20 g / mol / 0.601 g )
E
= 5.86 k J / 0 C
4.2 0 C
256.57 mol -1
E
= 6314.7 k J / mol
ANSWER :
E = - 6.31
10 3 k J / mol