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Q.

The heat of combustion of benzene at 27°C  for the reaction  C6H6(l)+712O2(g)6CO2(g)+3H2O(l) is 780 kcal/mole as determined by a bomb calorimeter. The heat evolved on burning 39g of benzene in an open vessel is

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a

390 K cal

b

7809 K cal

c

390.45 K cal

d

780 K cal

answer is C.

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Detailed Solution

Δn=-1.5 and ΔH=ΔE+ΔnRT ΔH=-780+(-1.5)2×10-3(300) =-780-3×3×10-1

=-780.9 or 780.9 is the heat of combustion of 1 mol, i.e., 78 g of benzene. Thus, for 39 g, that is, half mole of benzene heat evolved is 390.45 kcal.

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