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please I need help . include diagram if possible and helpful explanations please

ID: 1512245 • Letter: P

Question


please I need help . include diagram if possible and helpful explanations please. thanks

it saine value. verts all its hydrogen to helium, achieving a .45 A star converts all its hydr 100% helium composition. Next it converts the helium to car- bon via the triple-alpha process, 4He +4He +He 12C + 7.27 MeV. The mass of the star is 4.6 × 1032 kg, and it generates energy at the rate of 5.3 × 1030 W. How long will it take to convert all the helium to carbon at this rate? G0 9 cie c one eighth of the

Explanation / Answer

Given:

Mass of the star, M = 4.6*1032 kg;

power, P =  5.3*1030 W;

Energy released, Q = 7.27*106 eV;

The mass of He, m = 4.002603 amu * 1.661*10-27 kg/amu = 6.6483*10-27 kg

Thus, the number of helium atoms in the star are

N = M/m = 4.6*1032 kg / 6.6483*10-27 kg = 6.92*1058

each fusion requires three helium nuclei.

Thus,

time, t = N/3 * Q/P =   [6.92*1058/3]*[7.27*106 eV /  5.3*1030 W]

time, t = 5.062*1015s (or) 1.6*108years