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Homework answers / question archive / The lifetime of a star can be estimated in “solar lifetimes” by dividing 1 by the mass of the star, raised to the 2

The lifetime of a star can be estimated in “solar lifetimes” by dividing 1 by the mass of the star, raised to the 2

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The lifetime of a star can be estimated in “solar lifetimes” by dividing 1 by the mass of the star, raised to the 2.5 power (T = 1 / M2.5) where mass is given in solar masses. What is the expected lifetime of a star that has one-fourth the mass of the Sun?T = blank ?solar lifetimesfill blank

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Solar mass of sun =1 Mass of star that has one-fourth the mass of the Sun =M =1/4 solar mass. Expected lifetime of the star =T =(1/M)^2.5 =[1/(1/4)]^2.5 =4^2.5 =32 solar lifetimes. Therefore, the expected lifetime of a star that has one-fourth the mass of the Sun is 32 solar lifetimes.

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