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The energy released in the explosion of 1.00 mol of TNT is 3.40 MJ. The molar ma

ID: 1519178 • Letter: T

Question

The energy released in the explosion of 1.00 mol of TNT is 3.40 MJ. The molar mass of TNT is 0.227 kg/mol. What mass of TNT is needed for an explosive release of 1.80 Times 10^14 J? Can you carry that weight in a backpack, or is a truck or train required? Suppose that in an explosion of a fission bomb, 0.092 % of the fissionable mass is converted to released energy. What mass of fissionable material is needed for an explosive release of 1.80 Times 10^14 J? Can you carry that weight in a backpack, or is a truck or train required?

Explanation / Answer

a)

Energy released by 1 mol = 3.4 MJ = 3.4*10^6 J

Total energ to be released = 1.80*10^14 J

number of moles of TNT required = (1.80*10^14)/(3.4*10^6) = 5.294*10^7 moles

Mass of TNT required = number of moles * molar mass
                                            = (5.294*10^7 )*0.227
                                            =1.202*10^7 Kg

Answer: 1.202*10^7 Kg

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