The fusion of deuterium and tritium produces 2 81012J forevery atom of...

The fusion of deuterium and tritium produces 2.8Ã—10âˆ’12J for every atom of deuterium and atom of...

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The fusion of deuterium and tritium produces 2.8Ã—10âˆ’12J forevery atom of deuterium and atom of tritium. Part A How much energyis produced per mole of deuterium and mole of tritium. Express youranswer using two significant figures.

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Given The fusion of deuterium and tritium produces 2.8Ã—10^âˆ’12J for every atom of deuterium

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â and 2.8Ã—10^âˆ’12J atom of tritium

We know that 1 mole of any compound contains avagadro number ( 6.023x10²³ atoms) of atoms.

So the energy produced for 1 mole=6.023x10²³ atoms of deuterium is

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = energy released per atom x 6.023x10²³ atoms

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 2.8Ã—10^âˆ’12x 6.023x10²³ J

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 1.7x10¹² J

Therefore the energy produced per mole of deuterium and mole of tritium is 1.7x10¹² J

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