I know the answer, but you can you help me derive it? a 5.00 g sample of TNT (C7

Question

I know the answer, but you can you help me derive it?

a 5.00 g sample of TNT (C7H5N2O6) is burned in a bomb calorimeter with a heat capacity of 420 J/degreeC. The calorimeter contained 610 grams od water (4.18J/gdegreeC) and the temperature of the water was measured to go from 20.0 degree C to 22.5 degree C. What is the heat of combustion of TNT?.

5.00g sample of TNT (C,H,N,O is burned in a bomb calorimeter with a heat capacity of 420 JPC. The calorimeter contained 610 grams of water (4.18J/gC) and the temperature of the water was measured to go from 20.0 C to 22.5 C.What is the heat of combustion of TNT? (3)-258.2 kJ/mol

Explanation / Answer

(4)C7H5N3O6(s) ---> (7)CO2(g) + (10)H2O(g) + (6)N2(g) + (21)C(s)

bomb calorimeter heat capacity of 420 J/degreeC

the combustion releases heat absorbed by both tha calorimeter & the water

heat of combustion = mCdT calorimeter + mCdT water

C = specific heat , m = mass and dT = change in temp

mCdT water =  610 grams *(4.18J/gdegreeC) * (2.5) = 6374.5

mCdT calorimeter = 420 J/degreeC

heat of combustion = 6374.5 + 420 = 6794.5

5.00 g sample of TNT = 5 / molecular mass = 0.022mole

he heat of combustion of TNT =  6794.5 /  0.022 308840.9

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