The detonation of some amount of TNT causes the volume of nearby gas to increase from 10.0 L to 90.0 L (the pressure remains constant at 1.00 atm). Additionally, 90.0 kJ of energy is released as heat during the detonation. What is of the TNT in kilojoules for this process

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Internal combustion energy for TNT(Trinitro toluene) is found to be  -170 kJ.

Internal energy= (- heat evolved by the system) + Work done by the system

ΔU = -Q+W

W = - PΔV

P= pressure

ΔV =difference in volume

Given,

V1 = 10 L

V2 = 90 L

∴ΔV = V2-V1 = 90-10 = 80 L

P = 1 atm

∴W = - ( 1× 80)

      = -80 kJ

Heat evolved by the system = 90 kJ

∴Δ U= - 90 kJ - 80 kJ

       = - 170 kJ

Thus, Internal combustion energy for TNT(Trinitro toluene) is found to be -170 kJ.

NOTE : here work done by the system is considered negative and also heat evolved by the system is taken -Ve.

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