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wilson_chem90
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Homework Statement
Nuclear energy changes are significantly greater than chemical changes. The detonation of 1.00 g of the explosive trinitrotoluene (TNT) releases 2.760 kJ. How many grams of TNT would be needed to match the energy released be one gram of U-235? (HINT: 1.00 g of U-235 contains 2.56 x 10^21 nuclei).
Homework Equations
E = mc^2
The Attempt at a Solution
This is all i can think of...
First, convert 1.00 g to 0.001 kg
then:
E for U-235 = mc^2
= 0.001 kg (2.998 x 10^8 m/s)^2
= 8.99 x 10^13 J
then: 1 kJ = 1000 J
Therefore: (8.99 x 10^13 J) /1000 J = 8.99 x 10^10 kJ
Then divide 8.99 x 10^10 kJ by 2.760 kJ to find the answer
3.26 x 10^10 g
Therefore, you would need 3.26 x 10^13 g to match the energy released by 1.00 g of U-235.
I'm almost positive this is incorrect...