Question 1 from learning to look chapter 12. Look at the model of the sun\'s int

Question

Question 1 from learning to look chapter 12.

Look at the model of the sun's interior in figure 12-2. At what radial distance from the center does the summed luminosity reach 100 percent? How much mass and density are at and below that layer? Using these stellar properties and values, explain why the luminosity reaches 100 percent at this radial distance as opposed to at r=0 R or at r=1.0 R. Why does the luminosity from this radius to the surface stay at 100 percent?

Convective zone (106 K) | (g/cm 3) | M/M.?L/Lo 0.006 0.00 1.00 1.00 RIR R (106 K) ?? Radiative zone 1.00 0.90 0.60 0.80 1.2 0.70 2.3 0.60 3.1 0.009 0.999 1.00 0.035 0.996 1.00 0.12 0.990 1.00 0.40 0.97 1.00 1.3 13. 36. 89 0.00 15.7 150. 0.50 4.9 0.405.1 0.30 6.9 0.20 9.3 0.10 13.1 0.92 1.00 0.82 1.00 0.63 0.99 0.34 0.91 0.073 0.40 0.000 0.00 Center dP GM A Figure 12-2 A stellar model is a table of numbers that represent conditions inside a star. Such tables can be computed using the four laws of stellar structure, shown here in mathematical form. The table in this figure describes the present-day Sun.

Explanation / Answer

Radius of the sun=6.955*108 m

Mass of the sun= 1.989*1030Kg

the summed luminosity reach 100% at, 0.40 times sun radius that is 2.782*108m from the center of the sun, with a temperature of 5.1*106K. mass of the sun with in this region is around 82% of the mass of sun and that is 1.63*1030Kg,and have a density of 4.1 g/cm3. below this layer the mass and density is around 0.63 times mass of sun(1.25*1030Kg) and 13g/cm3. from the table we can see that the high density internal regions are less luminous. even the temperature decreases towards the surface its radius is increasing luminosity is proportional to the square of the radius.

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