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It is hard to decode your attempt by reverse engineering your equation. Instead of numbers, please write your equation in terms of defined variables.Clara Chung said:Homework Statement
View attachment 225212 [/B]Homework Equations
The Attempt at a Solution
I tried T=E/L = 30 X (1.989X10^30) X 0.1 X (3 X 10^8)^2 /(8X10^5 * 3.828X10^26) =1.75 x 10^15 s = 1.33 x 10^9 years .
However the answer is 4x10^5 years
please help
You are doing the problem as if the 10% of the mass of the star was converted completely into energy (you are using E=mc^2). But this is NOT the case here. The 10% is a mass of hydrogen that will be converted to helium, so not all the mass is converted into energy. You need to multiply your answer by the fraction of th mass that is converted into energy in a hydrogen -> helium fusion process. Also, where does your number 8x10^5 come from?Clara Chung said:Homework Statement
View attachment 225212 [/B]Homework Equations
The Attempt at a Solution
I tried T=E/L = 30 X (1.989X10^30) X 0.1 X (3 X 10^8)^2 /(8X10^5 * 3.828X10^26) =1.75 x 10^15 s = 1.33 x 10^9 years .
However the answer is 4x10^5 years
please help
The average lifetime of a star depends on its mass. The more massive a star is, the shorter its lifetime will be. For example, a star with the mass of our sun will have a lifetime of about 10 billion years.
A star's mass determines its core temperature and the rate at which it burns hydrogen fuel. The higher the mass, the hotter the core and the faster the star will use up its fuel, resulting in a shorter lifetime.
No, a star's lifetime is determined by its mass and there is no way to extend it. Even if a star were to consume more fuel, it would only speed up its process of burning through its fuel and shorten its lifetime.
At the end of its lifetime, a star will either become a white dwarf, neutron star, or black hole, depending on its mass. These are the remnants of a star after it has used up all of its fuel.
Yes, we can predict the lifetime of a star based on its mass and the rate at which it is burning through its fuel. However, there are many other factors that can affect a star's lifetime, so these predictions are not always accurate.