A 1.000g sample of benzene (C6H6) is burned in a bomb calorimeter whose total heat capacity is 4.957 kJ/ oC. If the temperature of the calorimeter increases from 25.30 to 33.74 oC , what is the heat of combustion of the benzene per mole.
Explanation please.
1st calculate the heat absorbed by calorimeter
Q = Ccal*delta T
= 4.957 KJ/oC * (33.74 - 25.30) oC
= 41.84 KJ
Molar mass of C6H6 = 6*MM(C) + 6*MM(H)
= 6*12.01 + 6*1.008
= 78.108 g/mol
mass of C6H6 = 1.000 g
we have below equation to be used:
number of mol of C6H6,
n = mass of C6H6/molar mass of C6H6
=(1.000 g)/(78.108 g/mol)
= 1.28*10^-2 mol
heat of combustion = - Q/number of mol
= - 41.84 KJ / (1.28*10^-2 mol)
= -3.27*10^3 KJ/mol
Answer: -3.27*10^3 KJ/mol
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