help please!! (15 POINTS) 15) A D Mareough star that contains an excess amount o

Question

help please!!

(15 POINTS) 15) A D Mareough star that contains an excess amount of helium can fuse three helium into carbon by ion process described below. Suppose the mass of a single helium isotope is given by mHe and the mass of the carbon isotope is giv a.) In terms of the variables for the masses provided and fundamental constants, expression for the amount of energy released, E, by this fusion reaction. C write an b) Using your expression from part a.) calculate E in Joules ifrnHe 6.6465 × 10 mc = 1.9926 × 10-26 kg. (3 POINTS)

Explanation / Answer

15a)the equation for the fusion reaction will be

E= mC2 where my is mass defect and C is speed of light

2) mass defect m= (3×mass of helium atom - mass of carbon atom)

m will be always positive because mass cannot be negative.

Now m= (3×6.6465×10-27) -(1.9926×10-26)

=0.0013 Kg

Now amount of energy released in the fusion reaction

E= m×C×C

= .0013× (3×10^8)^2

E =11.7 ×1013 joule

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